Question 512 Marks
The cost of $6\frac{1}{4}\text{kg}$ of apples is $₹ 400$. At what rate per kg are the apples being sold?
AnswerGiven, The cost of $6\frac{1}{4}\text{kg}$ of apples is $₹ 400$ $6\frac{1}{4}=\frac{25}{4}$
Cost of $\frac{25}{4}\text{kg}$ of apple $= ₹ 400$
Cost of $1\ kg$ of apple $=₹\ \frac{4}{25}\times400=₹\ 64$
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Find:$\frac{5}{6}\text{ of a day}$
AnswerWe have, $\frac{5}{6}\text{ of a day}$ $1$ day $= 24$ hours
$\therefore\ \frac{5}{6}\times24\text{ hours}$
$=5\times4\text{ hours}$
$=20\text{ hours}$
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Divide: $6\frac{1}{4}\text{ by }2\frac{3}{5}$
Answer$6\frac{1}{4}\text{ by }2\frac{3}{5}$ $=\frac{6\frac{1}{4}}{2\frac{3}{5}}$ $=\frac{\frac{25}{4}}{\frac{13}{5}}$ $=\frac{25\times5}{4\times13}$ $=\frac{75}{52}$ $=2\frac{21}{52}$
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Ravish reads $\frac{1}{3}$ part of a books in $1$ hour. How much part of the book will he read in $2\frac{1}{5}$ hours?
AnswerLet $x$ be the full part of book.
Given, Ravish reads $\frac{1}{3}$ part of a book in one hour $1\text{ hour}=\Big(\frac{1}{3}\Big)\text{x}$
Part of the book will he read in $2\Big(\frac{1}{5}\Big)$ hours $2\frac{1}{5}=\frac{11}{5}\text{ hours}$
$=\frac{1}{3}\times\text{x}\times\frac{11}{5}$
$\frac{11}{5}\text{x}=\frac{11}{15}$ part of book
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There are $45$ students in a class and $\frac{3}{5}$ of them are boys. How many girls are there in the class?
AnswerGiven,
There are $45$ students in a class,
And $\frac{3}{5}$ of them are boys.
Therefore, no of girls in the class $=45-\frac{3}{5}\times45$
$=45-27$
$=18$
View full question & answer→Question 562 Marks
By what number should $6\frac{2}{9}$ be multiplied to get $4\frac{4}{9}?$
AnswerLet the required number be $x$.
According to the question, $6\frac{2}{9}\times\text{x}=4\frac{4}{9}$
$\frac{(6\times9+2)}{9}\times\text{x}=\frac{(4\times9)+4}{9}$
$\frac{56}{9}\times\text{x}=\frac{40}{9}$
$\text{x}=\frac{40}{9}\times\frac{9}{56}$
$\text{x}=\frac{40}{56}$
$\text{x}=\frac{5}{7}$
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Multiply: $3\frac{4}{15}\text{ by }{24}$
AnswerWe have, $3\frac{4}{15}\text{ by }{24}$ $=\frac{49}{15}\times24$ $=\frac{1176}{24}$ $=78\frac{2}{5}$
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Divide: $\frac{3}{8}\text{ by }\frac{5}{9}$
Answer$\frac{3}{8}\text{ by }\frac{5}{9}$ $=\frac{\frac{3}{8}}{\frac{5}{9}}$ $=\frac{3\times9}{8\times5}$ $=\frac{27}{40}$
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Find:$\frac{3}{20}\text{ of a kg}$
AnswerWe have, $\frac{3}{20}\text{ of a kg}$
$1kg = 1000gms$
$\therefore\ \frac{3}{20}\times1000\text{gms}$
$=3\times50\text{gms}$
$=150\text{gms}$
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Multiply: $3\frac{1}{8}\text{ by }4\frac{10}{11}$
AnswerWe have, $3\frac{1}{8}\text{ by }4\frac{10}{11}$ $=\frac{25}{8}\times\frac{54}{11}$ $=\frac{25\times54}{88}$ $=15\frac{15}{44}$
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Evaluate: $\frac{12}{17}$ of $\frac{68}{3}$
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Multiply the following fractions: $7 \frac{5}{9} \times 1 \frac{1}{2}$
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Evaluate: $\frac{2}{11}$ of $\frac{121}{10}$
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Multiply the following fractions: $6 \frac{11}{14} \times 3 \frac{1}{2}$
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Evaluate: $\frac{1}{7}$ of $\frac{6}{5}$
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Multiply the following fractions: $6 \frac{2}{5} \times \frac{7}{9}$
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Evaluate: $\frac{1}{4}$ of $\frac{3}{5}$
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Multiply the following fractions: $\frac{2}{3} \times 2 \frac{2}{3}$
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(i) Write the number in the box $\square$ such that $\frac{3}{5} \times \square=\frac{24}{75}$.
(ii) What is the simplest form of the number written in the box $\square$ in (i)?
Answer(i) $\frac{8}{15}$
(ii) $\frac{8}{15}$
View full question & answer→Question 702 Marks
(i) Write the number in the box $\square$, such that $\frac{2}{3} \times \square=\frac{10}{30}$.
(ii) What is the simplest form of the number written in the box $\square$ in (i)?
Answer(i) $\frac{5}{10}$
(ii) $\frac{1}{2}$
View full question & answer→Question 712 Marks
Aarush used $1 \frac{2}{5}$ bag of soil fertilizer for his garden and Aayush used $\frac{2}{7}$ of the fertilizer uset: by Aarush for his garden. How much soil fertilizer will Aayush require for his garden.
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Find: $\frac{5}{6}$ of a day
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Find: $\frac{7}{20}$ of a litre
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Find: $\frac{3}{20}$ of a kg
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Evaluate: $\frac{3}{14}$ of 70 metre
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Find: $\frac{5}{6}$ of an year
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Find: $\frac{2}{7}$ of a week
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Simplify: $4 \div 2 \frac{2}{5}$
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Divide: 10 by $\frac{100}{3}$
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Divide: $6 \frac{1}{4}$ by $2 \frac{3}{5}$
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Find: $\frac{1}{12}$ of an hour
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Simplify: $5 \frac{4}{7} \div 1 \frac{3}{10}$
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Divide: 9 by $\frac{3}{16}$
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Divide: $\frac{7}{8}$ by $4 \frac{1}{2}$
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Find: $\frac{3}{7}$ of 42 litres
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Simplify: $4 \frac{3}{5} \div \frac{4}{5}$
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Divide: $\frac{9}{16}$ by 6
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Divide: $3 \frac{1}{4}$ by $\frac{2}{3}$
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Find: $\frac{5}{9}$ of 108 metres
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Simplify: $\frac{3}{10} \div \frac{10}{3}$
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Divide: $\frac{3}{8}$ by 4
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Divide: $\frac{3}{8}$ by $\frac{5}{9}$
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Find:$\frac{7}{11}$ of ₹330
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Evaluate product, reduce it to the lowest form, and convert it into a mixed fraction if possible. $20 \times \frac{4}{5}$
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Evaluate product, reduce it to the lowest form, and convert it into a mixed fraction if possible. $12 \times 1 \frac{1}{6}$
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Evaluate product, reduce it to the lowest form, and convert it into a mixed fraction if possible. $6 \times 2 \frac{3}{7}$
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Evaluate product, reduce it to the lowest form, and convert it into a mixed fraction if possible.$15 \times \frac{3}{5}$
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Evaluate product, reduce it to the lowest form, and convert it into a mixed fraction if possible. $5 \times \frac{4}{9}$
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Evaluate product, reduce it to the lowest form, and convert it into a mixed fraction if possible. $7 \times \frac{3}{5}$
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In pictures shown in Fig. determine which of them represents:$3 \times \frac{3}{4}=2 \frac{1}{4}$
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