Question 11 Mark
Write the following divisions as fractions:
$125\div50$
$125\div50$
Answer
View full question & answer→$\frac{125}{50}$
Questions
1 Mark Question
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77 questions · self-marked practice — reveal the answer and mark yourself.
Question 21 Mark
Write the fraction representing the shaded portion.
Answer
View full question & answer→Fraction of the shaded portion $=\frac{\text{ Number of shaded parts}}{\text{Total number of parts}}$
Total number of parts $=7$
Number of shaded parts $=3$
Fraction of the shaded portion $ =\frac{3}{7}$
Total number of parts $=7$
Number of shaded parts $=3$
Fraction of the shaded portion $ =\frac{3}{7}$
Question 31 Mark
What fraction of an hour is 20 minutes?
Answer
View full question & answer→Minutes in an hour = 60
20 minutes of an hour = 2060 = 13
20 minutes of an hour = 2060 = 13
Question 41 Mark
Arrange the following fractions in the ascending order:
$\frac{2}{9},\frac{7}{9},\frac{3}{9},\frac{4}{9},\frac{1}{9},\frac{6}{9},\frac{5}{9}$
$\frac{2}{9},\frac{7}{9},\frac{3}{9},\frac{4}{9},\frac{1}{9},\frac{6}{9},\frac{5}{9}$
Answer
View full question & answer→When the denominators are the same and numerators are different, then the fraction with greater numerator has a larger value.
$\frac{1}{9}<\frac{2}{9}<\frac{3}{9}<\frac{4}{9}<\frac{5}{9}<\frac{6}{9}<\frac{7}{9}$
$\frac{1}{9}<\frac{2}{9}<\frac{3}{9}<\frac{4}{9}<\frac{5}{9}<\frac{6}{9}<\frac{7}{9}$
Question 51 Mark
Colour the part according to the fraction given: $\frac{4}{9}$
Answer
View full question & answer→$\frac{4}{9}$
Question 61 Mark
Convert the following into an improper fraction:$12\frac{7}{15}$
Answer
View full question & answer→$12\frac{7}{15}=\frac{12\ \times\ 15\ +\ 7}{15}=\frac{187}{15}$
Question 71 Mark
Write the following fractions as divisions:$\frac{1}{5}$
Answer
View full question & answer→$1\div5$
Question 81 Mark
Mark $\frac{2}{6},\frac{4}{6},\frac{8}{6}$ and $\frac{6}{6}$ on the number line and put appropriate signs between fractions given below:
$\frac{8}{6}....\frac{5}{6}$
$\frac{8}{6}....\frac{5}{6}$
Answer
$\frac{8}{6}>\frac{5}{6}$ because 8 > 5 and denominator is the same.
View full question & answer→$\frac{8}{6}>\frac{5}{6}$ because 8 > 5 and denominator is the same.Question 91 Mark
Write the fraction representing the shaded portion.
Answer
View full question & answer→Fraction of the shaded portion $=\frac{\text{ Number of shaded parts}}{\text{Total number of parts}}$
Total number of parts $=9$
Number of shaded parts $=8$
Fraction of the shaded portion $ =\frac{8}{9}$
Total number of parts $=9$
Number of shaded parts $=8$
Fraction of the shaded portion $ =\frac{8}{9}$
Question 101 Mark
Convert the following into a mixed fraction:$\frac{226}{15}$
Answer
View full question & answer→$\frac{226}{15}$Quotient = 15, Remainder = 1, Denominator = 15
$\Rightarrow\frac{226}{15}=15\frac{1}{15}$
$\Rightarrow\frac{226}{15}=15\frac{1}{15}$
Question 111 Mark
Mark $\frac{2}{6},\frac{4}{6},\frac{8}{6}$ and $\frac{6}{6}$ on the number line and put appropriate signs between fractions given below:
$\frac{3}{6}....\frac{0}{6}$
$\frac{3}{6}....\frac{0}{6}$
Answer
$\frac{3}{6}>\frac{0}{6}$ because 3 > 0 and denominator is the same.
View full question & answer→$\frac{3}{6}>\frac{0}{6}$ because 3 > 0 and denominator is the same.Question 121 Mark
Convert the following into a mixed fraction:$\frac{128}{5}$
Answer
View full question & answer→$\frac{128}{5}$Quotient = 25, Remainder = 3, Denominator = 5
$\Rightarrow\frac{128}{5}=25\frac{3}{5}$
$\Rightarrow\frac{128}{5}=25\frac{3}{5}$
Question 131 Mark
Write the following fractions as divisions:$\frac{90}{63}$
Answer
View full question & answer→$90\div63$
Question 141 Mark
Represent $\frac{2}{5}$ on a number line.
View full question & answer→Question 151 Mark
Fill in the missing fractions:
$\frac{7}{10}-\Box=\frac{3}{10}$
$\frac{7}{10}-\Box=\frac{3}{10}$
Answer
View full question & answer→$\frac{7}{10}-\frac{2}{5}=\frac{3}{10}$Solution:
Given, $\frac{7}{10}-\Box=\frac{3}{10}$ $\Rightarrow\frac{7}{10}-\frac{3}{10}=\Box$ $\Rightarrow\frac{7-3}{10}=\Box$ $\Rightarrow\Box=\frac{4}{10}$ $\Box=\frac{2}{5}$
Given, $\frac{7}{10}-\Box=\frac{3}{10}$ $\Rightarrow\frac{7}{10}-\frac{3}{10}=\Box$ $\Rightarrow\frac{7-3}{10}=\Box$ $\Rightarrow\Box=\frac{4}{10}$ $\Box=\frac{2}{5}$
Question 161 Mark
Fill in the missing fractions:
$\Box-\frac{3}{21}=\frac{5}{21}$
$\Box-\frac{3}{21}=\frac{5}{21}$
Answer
View full question & answer→$\frac{8}{21}-\frac{3}{21}=\frac{5}{21}$Solution:
Given, $\Box-\frac{3}{21}=\frac{5}{21}$ $\Rightarrow\Box=\frac{5}{21}+\frac{3}{21}$ $\Rightarrow\Box=\frac{5+3}{21}$ $\Box=\frac{8}{21}$
Given, $\Box-\frac{3}{21}=\frac{5}{21}$ $\Rightarrow\Box=\frac{5}{21}+\frac{3}{21}$ $\Rightarrow\Box=\frac{5+3}{21}$ $\Box=\frac{8}{21}$
Question 171 Mark
Write the fraction representing the shaded parts.
Answer
View full question & answer→Fraction of the shaded portion $=\frac{\text{ Number of shaded parts}}{\text{Total number of parts}}$
Total number of parts $=8$
Number of shaded parts $=4$
Fraction of the shaded portion $=\frac{4}{8}=\frac{1}{2}$
Total number of parts $=8$
Number of shaded parts $=4$
Fraction of the shaded portion $=\frac{4}{8}=\frac{1}{2}$
Question 181 Mark
Colour the part according to the fraction given: $\frac{2}{4}$
Answer
View full question & answer→$\frac{2}{4}$
Question 191 Mark
Write some equivalent fractions which contain all digits from 1 to 9 once only.
Answer
View full question & answer→$\frac{2}{4}=\frac{3}{6}=\frac{79}{158}$$\frac{3}{9}=\frac{2}{6}=\frac{58}{174}$
Question 201 Mark
Replace $\Box$ of the following by the correct number:$\frac{2}{7}=\frac{6}{\Box}$
Answer
View full question & answer→$\frac{2}{7}=\frac{6}{21}$
Question 211 Mark
Mark the correct alternative of the following:Which of the following is a fraction equivalent of $\frac{2}{3}?$
- $\frac{4}{5}$
- $\frac{8}{6}$
- $\frac{10}{25}$
- $\frac{10}{15}$
Answer
$\Rightarrow\frac{10}{15}=\frac{2}{3}$
$\Rightarrow10\times3=2\times15$
$\Rightarrow30=30$
View full question & answer→- $\frac{10}{15}$
$\Rightarrow\frac{10}{15}=\frac{2}{3}$
$\Rightarrow10\times3=2\times15$
$\Rightarrow30=30$
Question 221 Mark
Convert the following into an improper fraction:$7\frac{1}{4}$
Answer
View full question & answer→$7\frac{1}{4}=\frac{7\ \times\ 4\ +\ 1}{4}=\frac{29}{4}$
Question 231 Mark
Convert the following into an improper fraction:$8\frac{5}{7}$
Answer
View full question & answer→$8\frac{5}{7}=\frac{8\ \times\ 7\ +\ 5}{7}=\frac{61}{7}$
Question 241 Mark
Write the fraction representing the shaded portion.
Answer
View full question & answer→Fraction of the shaded portion $=\frac{\text{ Number of shaded parts}}{\text{Total number of parts}}$
Total number of parts $=4$
Number of shaded parts $=2$
Fraction of the shaded portion $ =\frac{2}{4} =\frac{1}{2}$
Total number of parts $=4$
Number of shaded parts $=2$
Fraction of the shaded portion $ =\frac{2}{4} =\frac{1}{2}$
Question 251 Mark
Compare the following fractions and put an appropriate:
$\frac{3}{6}....\frac{5}{6}$
$\frac{3}{6}....\frac{5}{6}$
Answer
View full question & answer→$\frac{3}{6}<\frac{5}{6}$ because 3 < 6 and denominator is the same.
Question 261 Mark
Replace $\Box$ of the following by the correct number:$\frac{4}{5}=\frac{\Box}{20}$
Answer
View full question & answer→$\frac{4}{5}=\frac{16}{20}$
Question 271 Mark
Arrange the following fractions in the ascending order:
$\frac{37}{47},\frac{37}{50},\frac{37}{100},\frac{37}{1000},\frac{37}{85},\frac{37}{41}$
$\frac{37}{47},\frac{37}{50},\frac{37}{100},\frac{37}{1000},\frac{37}{85},\frac{37}{41}$
Answer
View full question & answer→When numerator are the same and denominators are different, the fraction with greater denominator has a smaller value.$\frac{37}{1000}<\frac{37}{100}<\frac{37}{85}<\frac{37}{50}<\frac{37}{47}<\frac{37}{41}$
Question 281 Mark
Colour the part according to the fraction given:
$\frac{1}{6}$
$\frac{1}{6}$
Answer
View full question & answer→$\frac{1}{6}$
Question 291 Mark
Mark $\frac{2}{6},\frac{4}{6},\frac{8}{6}$ and $\frac{6}{6}$ on the number line and put appropriate signs between fractions given below:
$\frac{1}{6}....\frac{6}{6}$
$\frac{1}{6}....\frac{6}{6}$
Answer
$\frac{1}{6}<\frac{6}{6}$ because 6 > 1 and denominator is the same.
View full question & answer→$\frac{1}{6}<\frac{6}{6}$ because 6 > 1 and denominator is the same.Question 301 Mark
Colour the part according to the fraction given: $\frac{3}{4}$
Answer
View full question & answer→$\frac{3}{4}$
Question 311 Mark
Subtract the sum of $\frac{2}{3}$ and $\frac{1}{2}$ from the sum of $\frac{5}{6},\frac{7}{12}$ and $\frac{4}{15}.$
Answer
View full question & answer→Sum of $\frac{2}{3}$ and $\frac{1}{2}$ is: $\frac{2}{3}+\frac{1}{2}=\frac{2\times2}{3\times2}+\frac{1\times3}{2\times3}$ (because LCM of 3 and 2 is 6)$=\frac{4}{6}+\frac{3}{6}$
$=\frac{4+3}{6}$
$=\frac{7}{6}$
Sum of $\frac{5}{6},\frac{7}{12}$ and $\frac{4}{15}$ is:$\frac{5}{6}+\frac{7}{12}+\frac{4}{15}=\frac{5\times10}{6\times10}+\frac{7\times5}{12\times5}+\frac{4\times4}{15\times4}$ (because LCM of 6, 12 and 15 is 60)
$=\frac{50}{60}+\frac{35}{60}+\frac{16}{60}$
$=\frac{50+35+16}{60}$
$=\frac{101}{60}$
Now, $\frac{101}{60}-\frac{7}{6}=\frac{101\times1}{60\times1}-\frac{7\times10}{6\times10}$ (because LCM of 60 and 6 is 60) $=\frac{101}{60}-\frac{70}{60}$ $=\frac{101-70}{60}$ $=\frac{31}{60}$ Hence, the difference of the sum of $\frac{2}{3}$ and $\frac{1}{2}$ from the sum of $\frac{5}{6},\frac{7}{12}$ and $\frac{4}{15}$ is $\frac{31}{60}.$
$=\frac{4+3}{6}$
$=\frac{7}{6}$
Sum of $\frac{5}{6},\frac{7}{12}$ and $\frac{4}{15}$ is:$\frac{5}{6}+\frac{7}{12}+\frac{4}{15}=\frac{5\times10}{6\times10}+\frac{7\times5}{12\times5}+\frac{4\times4}{15\times4}$ (because LCM of 6, 12 and 15 is 60)
$=\frac{50}{60}+\frac{35}{60}+\frac{16}{60}$
$=\frac{50+35+16}{60}$
$=\frac{101}{60}$
Now, $\frac{101}{60}-\frac{7}{6}=\frac{101\times1}{60\times1}-\frac{7\times10}{6\times10}$ (because LCM of 60 and 6 is 60) $=\frac{101}{60}-\frac{70}{60}$ $=\frac{101-70}{60}$ $=\frac{31}{60}$ Hence, the difference of the sum of $\frac{2}{3}$ and $\frac{1}{2}$ from the sum of $\frac{5}{6},\frac{7}{12}$ and $\frac{4}{15}$ is $\frac{31}{60}.$
Question 321 Mark
Replace $\Box$ of the following by the correct number:$\frac{45}{60}=\frac{15}{\Box}$
Answer
View full question & answer→$\frac{45}{60}=\frac{15}{20}$
Question 331 Mark
Replace $\Box$ of the following by the correct number:$\frac{18}{24}=\frac{\Box}{4}$
Answer
View full question & answer→$\frac{18}{24}=\frac{3}{8}$
Question 341 Mark
Shikha bought $7\frac{1}{2}\text{ litres}$ of milk. Out of this milk, $5\frac{3}{4}\text{ litres}$ was consumed. How much milk is left with her?
Answer
View full question & answer→Shikha bought total milk $=7\frac{1}{2}\text{ litres}=\Big(\frac{7\times2+1}{2}\Big)\text{litres}$
$=\frac{15}{2}\text{ litres}$
Milk consumed by Shikha $=5\frac{3}{4}\text{ litres}=\Big(\frac{5\times4+3}{4}\Big)\text{litres}$
$=\frac{23}{4}\text{ litres}$
Therefore, amount of milk left $=\Big(\frac{15}{2}-\frac{23}{4}\Big)\text{litres}$
$=\Big(\frac{15\times2}{2\times2}-\frac{23\times1}{4\times1}\Big)\text{litres}$ (because LCM of 2 and 4 is 4)
$=\Big(\frac{30}{4}-\frac{23}{4}\Big)\text{litres}$
$=\Big(\frac{30-23}{4}\Big)\text{litres}$
$=\frac{7}{4}\text{ litres}$
$=1\frac{3}{4}\text{ litres}$
Thus, $1\frac{3}{4}\text{ litres}$ of milk is left with Shikha.
$=\frac{15}{2}\text{ litres}$
Milk consumed by Shikha $=5\frac{3}{4}\text{ litres}=\Big(\frac{5\times4+3}{4}\Big)\text{litres}$
$=\frac{23}{4}\text{ litres}$
Therefore, amount of milk left $=\Big(\frac{15}{2}-\frac{23}{4}\Big)\text{litres}$
$=\Big(\frac{15\times2}{2\times2}-\frac{23\times1}{4\times1}\Big)\text{litres}$ (because LCM of 2 and 4 is 4)
$=\Big(\frac{30}{4}-\frac{23}{4}\Big)\text{litres}$
$=\Big(\frac{30-23}{4}\Big)\text{litres}$
$=\frac{7}{4}\text{ litres}$
$=1\frac{3}{4}\text{ litres}$
Thus, $1\frac{3}{4}\text{ litres}$ of milk is left with Shikha.
Question 351 Mark
Represent $\frac{0}{8}$ and $\frac{8}{8}$ on a number line.
View full question & answer→Question 361 Mark
Convert the following into a mixed fraction:$\frac{28}{9}$
Answer
View full question & answer→$\frac{28}{9}$Quotient = 3, Remainder = 1, Denominator = 9
$\Rightarrow\frac{28}{9}=3\frac{1}{9}$
$\Rightarrow\frac{28}{9}=3\frac{1}{9}$
Question 371 Mark
Write the following divisions as fractions:
$6\div3$
$6\div3$
Answer
View full question & answer→$\frac{6}{3}$
Question 381 Mark
Fill in the blanks:
$8\frac{1}{8}-\ ....=\frac{7}{8}$
$8\frac{1}{8}-\ ....=\frac{7}{8}$
Answer
View full question & answer→$8\frac{1}{8}-7\frac{2}{8}=\frac{7}{8}$Solution:
Given, $8\frac{1}{8}-\ ....=\frac{7}{8}$ Let the value in the blank be x. $8\frac{1}{8}-\text{x}=\frac{7}{8}$ $\Rightarrow8\frac{1}{8}-\frac{7}{8}=\text{x}$ $\Rightarrow\text{x}=\frac{8\times8+1}{8}-\frac{7}{8}$ $\Rightarrow\text{x}=\frac{65}{8}-\frac{7}{8}$ $\Rightarrow\text{x}=\frac{65-7}{8}$ $\Rightarrow\text{x}=\frac{58}{8}$ $\text{x}=7\frac{2}{8}$
Given, $8\frac{1}{8}-\ ....=\frac{7}{8}$ Let the value in the blank be x. $8\frac{1}{8}-\text{x}=\frac{7}{8}$ $\Rightarrow8\frac{1}{8}-\frac{7}{8}=\text{x}$ $\Rightarrow\text{x}=\frac{8\times8+1}{8}-\frac{7}{8}$ $\Rightarrow\text{x}=\frac{65}{8}-\frac{7}{8}$ $\Rightarrow\text{x}=\frac{65-7}{8}$ $\Rightarrow\text{x}=\frac{58}{8}$ $\text{x}=7\frac{2}{8}$
Question 391 Mark
Complete the addition-subtraction box.
Answer
$\frac{1}{3}+\frac{2}{3}=\frac{1+2}{3}=\frac{3}{3}=1$
Solving the columns,
$\frac{2}{3}-\frac{1}{3}=\frac{2-1}{3}=\frac{1}{3}$
$\frac{4}{3}-\frac{2}{3}=\frac{4-2}{3}=\frac{2}{3}$
and $2-1=1$
Hence, the complete addition-subtraction box is:
$\frac{1}{3}+\frac{1}{4}=\frac{1\times4}{3\times4}+\frac{1\times3}{4\times3}=\frac{4}{12}+\frac{3}{12}=\frac{4+3}{12}=\frac{7}{12}$
Solving the columns,
$\frac{1}{2}-\frac{1}{3}=\frac{1\times3}{2\times3}-\frac{1\times2}{3\times2}=\frac{3}{6}-\frac{2}{6}=\frac{3-2}{6}=\frac{1}{6}$
$\frac{1}{3}-\frac{1}{4}=\frac{1\times4}{3\times4}-\frac{1\times3}{4\times3}=\frac{4}{12}-\frac{3}{12}=\frac{4-3}{12}=\frac{1}{12}$
and $\frac{5}{6}-\frac{7}{12}=\frac{5\times2}{6\times2}-\frac{7\times1}{12\times1}=\frac{10}{12}-\frac{7}{12}=\frac{10-7}{12}=\frac{3}{12}=\frac{1}{4}$
Hence, the complete addition-subtraction box is:
View full question & answer→- Solving rows first,
$\frac{1}{3}+\frac{2}{3}=\frac{1+2}{3}=\frac{3}{3}=1$
Solving the columns,
$\frac{2}{3}-\frac{1}{3}=\frac{2-1}{3}=\frac{1}{3}$
$\frac{4}{3}-\frac{2}{3}=\frac{4-2}{3}=\frac{2}{3}$
and $2-1=1$
Hence, the complete addition-subtraction box is:
- Solving rows first,
$\frac{1}{3}+\frac{1}{4}=\frac{1\times4}{3\times4}+\frac{1\times3}{4\times3}=\frac{4}{12}+\frac{3}{12}=\frac{4+3}{12}=\frac{7}{12}$
Solving the columns,
$\frac{1}{2}-\frac{1}{3}=\frac{1\times3}{2\times3}-\frac{1\times2}{3\times2}=\frac{3}{6}-\frac{2}{6}=\frac{3-2}{6}=\frac{1}{6}$
$\frac{1}{3}-\frac{1}{4}=\frac{1\times4}{3\times4}-\frac{1\times3}{4\times3}=\frac{4}{12}-\frac{3}{12}=\frac{4-3}{12}=\frac{1}{12}$
and $\frac{5}{6}-\frac{7}{12}=\frac{5\times2}{6\times2}-\frac{7\times1}{12\times1}=\frac{10}{12}-\frac{7}{12}=\frac{10-7}{12}=\frac{3}{12}=\frac{1}{4}$
Hence, the complete addition-subtraction box is:
Question 401 Mark
Compare the following fractions and put an appropriate:
$\frac{1}{7}....\frac{1}{4}$
$\frac{1}{7}....\frac{1}{4}$
Answer
View full question & answer→$\frac{1}{7}<\frac{1}{4}$ because 7 > 4; if the numerator is the same, then the fraction that has smaller denominator is greater.
Question 411 Mark
Mark $\frac{2}{6},\frac{4}{6},\frac{8}{6}$ and $\frac{6}{6}$ on the number line and put appropriate signs between fractions given below:
$\frac{5}{6}....\frac{2}{6}$
$\frac{5}{6}....\frac{2}{6}$
Answer
$\frac{5}{6}>\frac{2}{6}$ because 5 > 2 and denominator is the same.
View full question & answer→$\frac{5}{6}>\frac{2}{6}$ because 5 > 2 and denominator is the same.Question 421 Mark
Write the following divisions as fractions:
$55\div11$
$55\div11$
Answer
View full question & answer→$\frac{55}{11}$
Question 431 Mark
Write these fractions appropriately as additions or subtractions:
Answer
View full question & answer→$\frac{1}{5}+\frac{2}{5}=\frac{3}{5}$ $\Big[\because\frac{1+2}{5}=\frac{3}{5}\Big]$
Question 441 Mark
Convert the following into a mixed fraction:$\frac{145}{9}$
Answer
View full question & answer→$\frac{145}{9}$Quotient = 16, Remainder = 1, Denominator = 9
$\Rightarrow\frac{145}{9}=16\frac{1}{9}$
$\Rightarrow\frac{145}{9}=16\frac{1}{9}$
Question 451 Mark
Represent $\frac{0}{10},\frac{1}{10},\frac{5}{10}$ and $\frac{10}{10}$ on a number line.
View full question & answer→Question 461 Mark
Arrange the following fractions in ascending order:$\frac{13}{18},\frac{8}{15},\frac{17}{24},\frac{7}{12}$
Answer
View full question & answer→Fractions can be compared by converting them into like fractions and then arranging them in ascending or descending order.
Now,
$\frac{13}{18}=\frac{13\times20}{18\times20}=\frac{260}{360}$
$\frac{8}{15}=\frac{8\times24}{15\times24}=\frac{192}{360}$
$\frac{17}{24}=\frac{17\times15}{24\times15}=\frac{255}{360}$
$\frac{7}{12}=\frac{7\times30}{12\times30}=\frac{210}{360}$
We know,
$192 < 210 < 255 < 260$
$\Rightarrow\frac{192}{360}<\frac{210}{360}<\frac{255}{360}<\frac{260}{360}$
$\Rightarrow\frac{8}{15}<\frac{7}{12}<\frac{17}{24}<\frac{13}{18}$
Hence, the following fractions in ascending order is $\frac{8}{15}<\frac{7}{12}<\frac{17}{24}<\frac{13}{18}$
Now,
$\frac{13}{18}=\frac{13\times20}{18\times20}=\frac{260}{360}$
$\frac{8}{15}=\frac{8\times24}{15\times24}=\frac{192}{360}$
$\frac{17}{24}=\frac{17\times15}{24\times15}=\frac{255}{360}$
$\frac{7}{12}=\frac{7\times30}{12\times30}=\frac{210}{360}$
We know,
$192 < 210 < 255 < 260$
$\Rightarrow\frac{192}{360}<\frac{210}{360}<\frac{255}{360}<\frac{260}{360}$
$\Rightarrow\frac{8}{15}<\frac{7}{12}<\frac{17}{24}<\frac{13}{18}$
Hence, the following fractions in ascending order is $\frac{8}{15}<\frac{7}{12}<\frac{17}{24}<\frac{13}{18}$
Question 471 Mark
Compare the following fractions and put an appropriate:
$\frac{4}{5}....\frac{0}{5}$
$\frac{4}{5}....\frac{0}{5}$
Answer
View full question & answer→$\frac{4}{5}<\frac{0}{5}$ because 4 > 0 and denominator is the same.
Question 481 Mark
Colour the part according to the fraction given: $\frac{1}{3}$
Answer
View full question & answer→$\frac{1}{3}$
Question 491 Mark
Convert the following into an improper fraction:$5\frac{3}{10}$
Answer
View full question & answer→$5\frac{3}{10}=\frac{5\ \times\ 10\ +\ 3}{10}=\frac{53}{10}$
Question 501 Mark
Write the fraction representing the shaded portion.
Answer
View full question & answer→Fraction of the shaded portion $=\frac{\text{ Number of shaded parts}}{\text{Total number of parts}}$
Total number of parts $=15$
Number of shaded parts $=11$
Fraction of the shaded portion $ =\frac{11}{15}$
Total number of parts $=15$
Number of shaded parts $=11$
Fraction of the shaded portion $ =\frac{11}{15}$
Question 511 Mark
Write the following fractions as divisions:$\frac{9}{7}$
Answer
View full question & answer→$9\div7$
Question 521 Mark
Write the fraction representing the shaded portion:
Answer
View full question & answer→Fraction of the shaded portion $=\frac{\text{ Number of shaded parts}}{\text{Total number of parts}}$
Total number of parts $=8$
Number of shaded parts $=4$
Fraction of the shaded portion $=\frac{4}{8}=\frac{1}{2}$
Total number of parts $=8$
Number of shaded parts $=4$
Fraction of the shaded portion $=\frac{4}{8}=\frac{1}{2}$
Question 531 Mark
Represent $\frac{2}{7},\frac{5}{7}$ and $\frac{6}{7}$ on a number line.
View full question & answer→Question 541 Mark
How many fractions lie between 0 and 1?
Answer
View full question & answer→Infinite. We can check this by taking numerator less than denominator in a fraction.
Question 551 Mark
Fill in the blanks:
$9\frac{2}{3}+\ ....=19$
$9\frac{2}{3}+\ ....=19$
Answer
View full question & answer→$9\frac{2}{3}+9\frac{1}{3}=19$Solution:
Given, $9\frac{2}{3}+\ ....=19$ Let the value in the blank be x. $9\frac{2}{3}+\text{x}=19$ $\Rightarrow\text{x}=19-9\frac{2}{3}$ $\Rightarrow\text{x}=\frac{19}{1}-\frac{9\times3+2}{3}$ $\Rightarrow\text{x}=\frac{19}{1}-\frac{29}{3}$ $\Rightarrow\text{x}=\frac{19\times3}{1\times3}-\frac{29\times1}{3\times1}$ (because LCM of 1 and 3 is 3) $\Rightarrow\text{x}=\frac{57}{3}-\frac{29}{3}$ $\Rightarrow\text{x}=\frac{57-29}{3}$ $\Rightarrow\text{x}=\frac{28}{3}$ $\text{x}=9\frac{1}{3}$
Given, $9\frac{2}{3}+\ ....=19$ Let the value in the blank be x. $9\frac{2}{3}+\text{x}=19$ $\Rightarrow\text{x}=19-9\frac{2}{3}$ $\Rightarrow\text{x}=\frac{19}{1}-\frac{9\times3+2}{3}$ $\Rightarrow\text{x}=\frac{19}{1}-\frac{29}{3}$ $\Rightarrow\text{x}=\frac{19\times3}{1\times3}-\frac{29\times1}{3\times1}$ (because LCM of 1 and 3 is 3) $\Rightarrow\text{x}=\frac{57}{3}-\frac{29}{3}$ $\Rightarrow\text{x}=\frac{57-29}{3}$ $\Rightarrow\text{x}=\frac{28}{3}$ $\text{x}=9\frac{1}{3}$
Question 561 Mark
Colour the part according to the fraction given: $\frac{1}{4}$
Answer
View full question & answer→$\frac{1}{4}$
Question 571 Mark
Fill in the blanks:
$6\frac{1}{6}-5\frac{1}{5}=\ ....$
$6\frac{1}{6}-5\frac{1}{5}=\ ....$
Answer
View full question & answer→$6\frac{1}{6}-5\frac{1}{5}=\frac{29}{30}$Solution:
Given, $6\frac{1}{6}-5\frac{1}{5}=\ ....$ Let the value in the blank be x. $6\frac{1}{6}-5\frac{1}{5}=\text{x}$ $\Rightarrow\text{x}=\frac{6\times6+1}{6}-\frac{5\times5+1}{5}$ $\Rightarrow\text{x}=\frac{37}{6}-\frac{26}{5}$ $\Rightarrow\text{x}=\frac{37\times5}{6\times5}-\frac{26\times6}{5\times6}$ (because LCM of 6 and 5 is 30) $\Rightarrow\text{x}=\frac{185}{30}-\frac{156}{30}$ $\Rightarrow\text{x}=\frac{185-156}{30}$ $\text{x}=\frac{29}{30}$
Given, $6\frac{1}{6}-5\frac{1}{5}=\ ....$ Let the value in the blank be x. $6\frac{1}{6}-5\frac{1}{5}=\text{x}$ $\Rightarrow\text{x}=\frac{6\times6+1}{6}-\frac{5\times5+1}{5}$ $\Rightarrow\text{x}=\frac{37}{6}-\frac{26}{5}$ $\Rightarrow\text{x}=\frac{37\times5}{6\times5}-\frac{26\times6}{5\times6}$ (because LCM of 6 and 5 is 30) $\Rightarrow\text{x}=\frac{185}{30}-\frac{156}{30}$ $\Rightarrow\text{x}=\frac{185-156}{30}$ $\text{x}=\frac{29}{30}$
Question 581 Mark
Replace $\Box$ of the following by the correct number:$\frac{5}{8}=\frac{10}{\Box}$
Answer
View full question & answer→$\frac{5}{8}=\frac{10}{16}$
Question 591 Mark
Write the fraction representing the shaded portion.
Answer
View full question & answer→Fraction of the shaded portion $=\frac{\text{ Number of shaded parts}}{\text{Total number of parts}}$
Total number of parts $=9$
Number of shaded parts $=4$
Fraction of the shaded portion $ =\frac{4}{9}$
Total number of parts $=9$
Number of shaded parts $=4$
Fraction of the shaded portion $ =\frac{4}{9}$
Question 601 Mark
Write the fraction representing the shaded parts.
Answer
View full question & answer→Fraction of the shaded portion $=\frac{\text{ Number of shaded parts}}{\text{Total number of parts}}$
Total number of parts $=9$
Number of shaded parts $=3$
Fraction of the shaded portion $=\frac{3}{9}=\frac{1}{3}$
Total number of parts $=9$
Number of shaded parts $=3$
Fraction of the shaded portion $=\frac{3}{9}=\frac{1}{3}$
Question 611 Mark
Arrange the following fractions in the ascending order:
$\frac{7}{8},\frac{7}{25},\frac{7}{11},\frac{7}{18},\frac{7}{10}$
$\frac{7}{8},\frac{7}{25},\frac{7}{11},\frac{7}{18},\frac{7}{10}$
Answer
View full question & answer→When numerator are the same and denominators are different, the fraction with greater denominator has a smaller value.$\frac{7}{25}<\frac{7}{18}<\frac{7}{11}<\frac{7}{10}<\frac{7}{8}$
Question 621 Mark
Write the fraction representing the shaded portion:
Answer
View full question & answer→Fraction of the shaded portion $=\frac{\text{ Number of shaded parts}}{\text{Total number of parts}}$
Total number of parts $=2$
Number of shaded parts $=1$
Fraction of the shaded portion $=\frac{1}{2}$
Total number of parts $=2$
Number of shaded parts $=1$
Fraction of the shaded portion $=\frac{1}{2}$
Question 631 Mark
Arrange the following fractions in the ascending order:
$\frac{3}{5},\frac{1}{5},\frac{4}{5},\frac{2}{5}$
$\frac{3}{5},\frac{1}{5},\frac{4}{5},\frac{2}{5}$
Answer
View full question & answer→When denominators are the same and numerators are different, then the fraction with greater numerator has a larger value.
$\frac{1}{5}<\frac{2}{5}<\frac{3}{5}<\frac{4}{5}$
$\frac{1}{5}<\frac{2}{5}<\frac{3}{5}<\frac{4}{5}$
Question 641 Mark
Write the following fractions as divisions:$\frac{3}{11}$
Answer
View full question & answer→$3\div11$
Question 651 Mark
Write the fraction representing the shaded parts.
Answer
View full question & answer→Fraction of the shaded portion $=\frac{\text{ Number of shaded parts}}{\text{Total number of parts}}$
Total number of parts $=10$
Number of shaded parts $=5$
Fraction of the shaded portion $=\frac{5}{10}=\frac{1}{2}$
Total number of parts $=10$
Number of shaded parts $=5$
Fraction of the shaded portion $=\frac{5}{10}=\frac{1}{2}$
Question 661 Mark
Write the fractions and check whether they are equivalent or not:
Answer
Fraction $=\frac{5}{15}=\frac{1}{3}$
Fraction $=\frac{3}{9}=\frac{1}{3}$
Fraction $=\frac{2}{6}=\frac{1}{3}$
Fraction $=\frac{1}{3}$
Yes, they are equivalent.
View full question & answer→Fraction $=\frac{5}{15}=\frac{1}{3}$Fraction $=\frac{3}{9}=\frac{1}{3}$
Fraction $=\frac{2}{6}=\frac{1}{3}$
Fraction $=\frac{1}{3}$
Yes, they are equivalent.
Question 671 Mark
Simplify:
$3+1\frac{1}{5}+\frac{2}{3}-\frac{7}{15}$
$3+1\frac{1}{5}+\frac{2}{3}-\frac{7}{15}$
Answer
View full question & answer→$3+1\frac{1}{5}+\frac{2}{3}-\frac{7}{15}=\frac{3}{1}+\frac{1\times5+1}{5}+\frac{2}{3}-\frac{7}{15}$$=\frac{3}{1}+\frac{6}{5}+\frac{2}{3}-\frac{7}{15}$
$=\frac{3\times15}{1\times15}+\frac{6\times3}{5\times3}+\frac{2\times5}{3\times5}-\frac{7\times1}{15\times1}$ (because LCM of 1, 5, 3 and 15 is 15)
$=\frac{45}{15}+\frac{18}{15}+\frac{10}{15}-\frac{7}{15}$
$=\frac{45+18+10-7}{15}$
$=\frac{66}{15}$
$=\frac{22}{5}$
$=3\frac{7}{5}$
$=\frac{3\times15}{1\times15}+\frac{6\times3}{5\times3}+\frac{2\times5}{3\times5}-\frac{7\times1}{15\times1}$ (because LCM of 1, 5, 3 and 15 is 15)
$=\frac{45}{15}+\frac{18}{15}+\frac{10}{15}-\frac{7}{15}$
$=\frac{45+18+10-7}{15}$
$=\frac{66}{15}$
$=\frac{22}{5}$
$=3\frac{7}{5}$
Question 681 Mark
Write the fraction representing the shaded portion.
Answer
View full question & answer→Fraction of the shaded portion $=\frac{\text{ Number of shaded parts}}{\text{Total number of parts}}$
Total number of parts $=3$
Number of shaded parts $=2$
Fraction of the shaded portion $ =\frac{2}{3}$
Total number of parts $=3$
Number of shaded parts $=2$
Fraction of the shaded portion $ =\frac{2}{3}$
Question 691 Mark
Write the fraction representing the shaded portion.
Answer
View full question & answer→Fraction of the shaded portion $=\frac{\text{ Number of shaded parts}}{\text{Total number of parts}}$
Total number of parts $=5$
Number of shaded parts $=1$
Fraction of the shaded portion $=\frac{1}{5}$
Total number of parts $=5$
Number of shaded parts $=1$
Fraction of the shaded portion $=\frac{1}{5}$
Question 701 Mark
Fill in the blanks:
$\frac{90}{108}$ reduced to simplest form ......
$\frac{90}{108}$ reduced to simplest form ......
Answer
View full question & answer→$\frac{90}{108}$ reduced to simplest form $\frac{5}{6}$Solution:
Given, $\frac{90}{108}=\frac{90\div3}{108\div3}$ $=\frac{30}{36}$ $=\frac{30\div3}{36\div3}$ $=\frac{10}{12}$ $=\frac{10\div2}{12\div2}$ $=\frac{5}{6}$
Given, $\frac{90}{108}=\frac{90\div3}{108\div3}$ $=\frac{30}{36}$ $=\frac{30\div3}{36\div3}$ $=\frac{10}{12}$ $=\frac{10\div2}{12\div2}$ $=\frac{5}{6}$
Question 711 Mark
Write the following divisions as fractions:
$25\div5$
$25\div5$
Answer
View full question & answer→$\frac{25}{5}$
Question 721 Mark
Compare the following fractions and put an appropriate:
$\frac{3}{20}....\frac{4}{20}$
$\frac{3}{20}....\frac{4}{20}$
Answer
View full question & answer→$\frac{3}{20}<\frac{4}{20}$ because 3 < 4 and denominator is the same.
Question 731 Mark
Fill in the blanks:
$7\frac{2}{3}+\ ....=9$
$7\frac{2}{3}+\ ....=9$
Answer
View full question & answer→$7\frac{2}{3}+{\frac{4}{3}}=9$Solution:
Given, $7\frac{2}{3}+\ ....=9$ Let the value in the blank be x. $7\frac{2}{3}+\text{x}=9$ $\Rightarrow\text{x}=9-7\frac{2}{3}$ $\Rightarrow\text{x}=\frac{9}{1}-\frac{7\times3+2}{3}$ $\Rightarrow\text{x}=\frac{9}{1}-\frac{23}{3}$ $\Rightarrow\text{x}=\frac{9\times3}{1\times3}-\frac{23\times1}{3\times1}$ (because LCM of 1 and 3 is 3) $\Rightarrow\text{x}=\frac{27}{3}-\frac{23}{3}$ $\Rightarrow\text{x}=\frac{27-23}{3}$ $\text{x}=\frac{4}{3}$
Given, $7\frac{2}{3}+\ ....=9$ Let the value in the blank be x. $7\frac{2}{3}+\text{x}=9$ $\Rightarrow\text{x}=9-7\frac{2}{3}$ $\Rightarrow\text{x}=\frac{9}{1}-\frac{7\times3+2}{3}$ $\Rightarrow\text{x}=\frac{9}{1}-\frac{23}{3}$ $\Rightarrow\text{x}=\frac{9\times3}{1\times3}-\frac{23\times1}{3\times1}$ (because LCM of 1 and 3 is 3) $\Rightarrow\text{x}=\frac{27}{3}-\frac{23}{3}$ $\Rightarrow\text{x}=\frac{27-23}{3}$ $\text{x}=\frac{4}{3}$
Question 741 Mark
Write the fraction representing the shaded portion.
Answer
View full question & answer→Fraction of the shaded portion $=\frac{\text{ Number of shaded parts}}{\text{Total number of parts}}$
Total number of parts $=2$
Number of shaded parts $=1$
Fraction of the shaded portion $=\frac{1}{2}$
Total number of parts $=2$
Number of shaded parts $=1$
Fraction of the shaded portion $=\frac{1}{2}$
Question 751 Mark
Write the fraction representing the shaded portion.
Answer
View full question & answer→Fraction of the shaded portion $=\frac{\text{ Number of shaded parts}}{\text{Total number of parts}}$
Total number of parts $=4$
Number of shaded parts $=1$
Fraction of the shaded portion $=\frac{1}{4}$
Total number of parts $=4$
Number of shaded parts $=1$
Fraction of the shaded portion $=\frac{1}{4}$
Question 761 Mark
Write the fraction representing the shaded parts.
Answer
View full question & answer→Fraction of the shaded portion $=\frac{\text{ Number of shaded parts}}{\text{Total number of parts}}$
Total number of parts $=12$
Number of shaded parts $=3$
Fraction of the shaded portion $=\frac{3}{12}=\frac{1}{4}$
Total number of parts $=12$
Number of shaded parts $=3$
Fraction of the shaded portion $=\frac{3}{12}=\frac{1}{4}$
Question 771 Mark
Write these fractions appropriately as additions or subtractions:
Answer
View full question & answer→$\frac{3}{6}+\frac{2}{6}=\frac{5}{6}$ $\Big[\because\frac{3+2}{6}=\frac{5}{6}\Big]$