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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
$\frac{11}{20}<\frac{17}{20}$
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
$\frac{9}{10}>\frac{7}{10}$
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.
$\frac{5}{7},\frac{8}{5},\frac{2}{3},\frac{4}{3},\frac{4}{9}$
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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
$\frac{11}{15}>\frac{8}{15}$
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
$\frac{1}{2}<1$
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
$1>\frac{6}{7}$
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
$\frac{3}{7}<\frac{6}{7}$
Between two fractions with the same denominator, the one with the greater numerator is the greater of the two.
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