Question 511 Mark
Write the following fractions as divisions:$\frac{9}{7}$
Answer
View full question & answer→$9\div7$
Questions · Page 2 of 2
1 Mark Question
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→$\frac{3}{6}+\frac{2}{6}=\frac{5}{6}$ $\Big[\because\frac{3+2}{6}=\frac{5}{6}\Big]$