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Question 21 Mark
Write six improper fractions with denominator 5.
Answer
Clearly, $\frac{6}{5},\frac{7}{5},\frac{8}{5},\frac{11}{5}\ \text{and}\ \frac{12}{5}$ are improper fractions, each with 5 as the denominator.
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Question 31 Mark
Write down the fraction in which
Numerator = 3, Denominator = 8
Answer
Numerator = 3 Denominator = 8$=\frac{3}{8}$
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Question 41 Mark
Convert the following into an improper fraction:
$12\frac{7}{15}$
Answer
$12\frac{7}{15}$
$=\frac{(12\times15)+7}{15}$
$=\frac{187}{15}$
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Question 51 Mark
Write down the fraction in which
Numerator = 8, Denominator = 15
Answer
Numerator = 8 Denominator = 15$=\frac{8}{15}$
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Question 61 Mark
Convert the following into an improper fraction:
$9\frac{3}{8}$
Answer
$9\frac{3}{8}$
$=\frac{(9\times8)+3}{8}$
$=\frac{75}{8}$
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Question 71 Mark
Fill in the place holders with the correct symbol > or <:
$\frac{11}{20}\ \Box\ \frac{17}{20}$
Answer
$\frac{11}{20}<\frac{17}{20}$Solution:
Between two fractions with the same denominator, the one with the greater numerator is the greater of the two.
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Question 91 Mark
What fraction of an hour is 24 minutes?
Answer
We know,
1 hour = 60 minutes
$\therefore$ The required fraction $=\frac{24}{60}=\frac{2}{5}$
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Question 101 Mark
Replace $\Box$ by the correct number in the following:
$\frac{40}{56}=\frac{\Box}{7}$
Answer
$\frac{40}{56}=\frac{\Box}{7}$
$\Big(\frac{45}{56}=\frac{40\div8}{56\div8}=\frac{5}{7}\Big)$
$\frac{40}{56}=\frac{5}{7}$
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Question 111 Mark
Convert the following into an improper fraction:
$51\frac{2}{3}$
Answer
$51\frac{2}{3}$
$=\frac{(51\times3)+2}{3}$
$=\frac{155}{3}$
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Question 121 Mark
Which of the following are proper fractions?
$\frac{1}{2},\frac{3}{5},\frac{10}{7},2,\frac{15}{8},\frac{16}{16},\frac{10}{11},\frac{23}{10}$
Answer
$\frac{1}{2},\frac{3}{5},\frac{10}{11}$
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Question 131 Mark
Which of the following are improper fractions?
$\frac{3}{2},\frac{5}{6},\frac{9}{4},\frac{8}{8},3,\frac{27}{16},\frac{23}{31},\frac{19}{18},\frac{10}{13},\frac{26}{26}$
Answer
A fraction whose numerator is greater than or equal to its denominator is called an improper fraction.
Hence, $\frac{3}{2},\frac{9}{4},\frac{8}{8}\ \text{and}\ \frac{19}{18},\frac{26}{26}$ are improper fractions.
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Question 171 Mark
Write six improper fractions with numerator 13.
Answer
Clearly, $\frac{13}{2},\frac{13}{3},\frac{13}{4},\frac{13}{5},\frac{13}{6},\frac{13}{7}$ are improper fractions, each with 14 as the numerator.
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Question 181 Mark
Write down the numerator and the denominator of the fractions given below:$\frac{6}{11}$
Answer
$\frac{6}{11}$Numerator = 6
Denominator = 11
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Question 191 Mark
Replace $\Box$ by the correct number in the following:
$\frac{45}{60}=\frac{9}{\Box}$
Answer
$\frac{45}{60}=\frac{9}{\Box}$
$\Big(\frac{45}{60}=\frac{45\div5}{60\div5}=\frac{9}{12}\Big)$
$\frac{45}{60}=\frac{9}{12}$
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Question 211 Mark
Write down the fractional number for the following:$\frac{9}{14}$
Answer
$\frac{9}{14}$ = Nine-fourteenths
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Question 221 Mark
Fill in the place holders with the correct symbol > or <:
$\frac{9}{10}\ \Box\ \frac{7}{10}$
Answer
$\frac{9}{10}>\frac{7}{10}$Solution:
Between two fractions with the same denominator, the one with the greater numerator is the greater of the two.
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Question 231 Mark
Replace $\Box$ by the correct number in the following:
$\frac{5}{8}=\frac{20}{\Box}$
Answer
$\frac{5}{8}=\frac{20}{\Box}$
$\Big(\frac{5}{8}=\frac{5\times4}{8\times4}=\frac{20}{32}\Big)$
$\frac{5}{8}=\frac{20}{32}$
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Question 241 Mark
Define a fraction. Give five examples of fractions.
Answer
A fraction is defined as a number representing a part of a whole, where the whole may be a single object of a group of objects.Examples: $\frac{5}{7},\frac{8}{5},\frac{2}{3},\frac{4}{3},\frac{4}{9}$
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Question 271 Mark
Replace $\Box$ by the correct number in the following:
$\frac{2}{7}=\frac{8}{\Box}$
Answer
$\frac{2}{7}=\frac{8}{\Box}$
$\Big(\frac{2}{7}=\frac{2\times4}{7\times4}=\frac{8}{28}\Big)$
$\frac{2}{7}=\frac{8}{28}$
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Question 281 Mark
Write down the numerator and the denominator of the fractions given below:$\frac{5}{1}$
Answer
$\frac{5}{1}$Numerator = 5
Denominator = 1
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Question 291 Mark
Write down the numerator and the denominator of the fractions given below:$\frac{12}{17}$
Answer
$\frac{12}{17}$Numerator = 12
Denominator = 17
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Question 301 Mark
Write down the fraction in which
Numerator = 5, Denominator = 12
Answer
Numerator = 5 Denominator = 12$=\frac{5}{12}$
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Question 311 Mark
Write down the fraction in which
Numerator = 7, Denominator = 16
Answer
Numerator = 7 Denominator = 16$=\frac{7}{16}$
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Question 331 Mark
Replace $\Box$ by the correct number in the following:
$\frac{3}{5}=\frac{\Box}{35}$
Answer
$\frac{3}{5}=\frac{\Box}{35}$
$\Big(\frac{3}{5}=\frac{3\times7}{5\times7}=\frac{21}{35}\Big)$
$\frac{3}{5}=\frac{21}{35}$
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Question 341 Mark
Convert the following into an improper fraction:
$6\frac{3}{10}$
Answer
$6\frac{3}{10}$
$=\frac{(6\times10)+3}{10}$
$=\frac{63}{10}$
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Question 351 Mark
Convert the following into an improper fraction:
$3\frac{5}{11}$
Answer
$3\frac{5}{11}$
$=\frac{(3\times11)+5}{11}$
$=\frac{38}{11}$
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Question 361 Mark
Fill in the place holders with the correct symbol > or <:
$\frac{11}{15}\ \Box\ \frac{8}{15}$
Answer
$\frac{11}{15}>\frac{8}{15}$Solution:
Between two fractions with the same denominator, the one with the greater numerator is the greater of the two.
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Question 371 Mark
Write down the numerator and the denominator of the fractions given below:$\frac{4}{9}$
Answer
$\frac{4}{9}$
Numerator = 4
Denominator = 9
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Question 381 Mark
Fill up the blank with '>', '<' or '=':
$\frac{1}{2}\ \Box\ 1$
Answer
$\frac{1}{2}<1$Solution:
An improper fraction is greater than 1. Hence, it is always greater than a proper fraction, which is less than 1.
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Question 401 Mark
Convert the following into an improper fraction:
$8\frac{8}{13}$
Answer
$8\frac{8}{13}$
$=\frac{(8\times13)+8}{13}$
$=\frac{112}{13}$
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Question 441 Mark
Write down the numerator and the denominator of the fractions given below:$\frac{8}{15}$
Answer
$\frac{8}{15}$Numerator = 8
Denominator = 15
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Question 471 Mark
In the given figure, if we say that the shaded region is $\frac{1}{4}$, then identify the error in it.
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Question 491 Mark
Fill up the blank with '>', '<' or '=':
$1\ \Box\ \frac{6}{7}$
Answer
$1>\frac{6}{7}$Solution:
An improper fraction is greater than 1. Hence, it is always greater than a proper fraction, which is less than 1.
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Question 501 Mark
Fill in the place holders with the correct symbol > or <:
$\frac{3}{7}\ \Box\ \frac{6}{7}$
Answer
$\frac{3}{7}<\frac{6}{7}$Solution:
Between two fractions with the same denominator, the one with the greater numerator is the greater of the two.
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Question 511 Mark
Convert the following into a mixed fraction:$\frac{81}{11}$
Answer
On dividing 81 by 11,
We get,
Quotient = 7
Remainder = 4
Therefore,
$\frac{81}{11}=7+\frac{4}{11}$
$=7\frac{4}{11}$
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Question 521 Mark
Write 'T' for true and 'F' for false for the statement given below:
$\frac{1}{2},\frac{1}{3}$ and $\frac{1}{4}$ are like fractions.
Answer
False.Solution:
(Because like fractions have the same denominator.)
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Question 531 Mark
Fill up the blank with '>', '<' or '=':
$\frac{3}{4}\ \Box\ 1$
Answer
$\frac{3}{4}< 1$Solution:
An improper fraction is greater than 1. Hence, it is always greater than a proper fraction, which is less than 1.
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Question 541 Mark
Fill in the place holders with the correct symbol > or <:
$\frac{8}{9}\ \Box\ \frac{5}{9}$
Answer
$\frac{8}{9}>\frac{5}{9}$Solution:
Between two fractions with the same denominator, the one with the greater numerator is the greater of the two.
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Question 551 Mark
Fill in the place holders with the correct symbol > or <:
$\frac{6}{11}\ \Box\ \frac{5}{11}$
Answer
$\frac{6}{11}>\frac{5}{11}$Solution:
Between two fractions with the same denominator, the one with the greater numerator is the greater of the two.
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Question 581 Mark
Convert the following into an improper fraction:
$5\frac{5}{7}$
Answer
$5\frac{5}{7}$
$=\frac{(5\times7)+5}{7}$
$=\frac{40}{7}$
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Question 601 Mark
Replace $\Box$ by the correct number in the following:
$\frac{42}{54}=\frac{7}{\Box}$
Answer
$\frac{42}{54}=\frac{7}{\Box}$
$\Big(\frac{42}{54}=\frac{42\div6}{54\div6}=\frac{7}{9}\Big)$
$\frac{42}{54}=\frac{7}{9}$
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Question 611 Mark
Convert the following into an improper fraction:
$10\frac{9}{14}$
Answer
$10\frac{9}{14}$
$=\frac{(10\times14)+9}{14}$
$=\frac{149}{14}$
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