Question 13 Marks
Simplify : $\left(\frac{14}{15} \div 1 \frac{1}{6}+\frac{7}{10}\right) \times \frac{3}{4}$
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Simplify : $\left(\frac{2}{3}+\frac{4}{9}\right)$ of $\frac{3}{5} \div 1 \frac{2}{3} \times 1 \frac{1}{4}-\frac{1}{3}$
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Simplify : $1 \div \frac{4}{7}-\frac{1}{3}$ of $3 \frac{3}{4}+\frac{1}{2} \div 3$
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Simplify : $2 \frac{2}{7}$ of $15 \frac{3}{4} \times 2 \frac{1}{4} \div \frac{4}{7}$ of $2 \frac{5}{8}$
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Simplify : $3 \frac{2}{3}-\frac{3}{11}$ of $2 \frac{3}{4} \div 1 \frac{1}{4} \times 1 \frac{2}{3}+\frac{1}{3}$
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Simplify : $6 \frac{1}{5} \div 3 \frac{1}{10}$ of $2 \frac{1}{2} \div \frac{1}{4}$
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Simplify : $1 \frac{1}{3} \div \frac{3}{7}$ of $2 \frac{5}{8}+1 \frac{1}{9}$
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Simplify : $1 \frac{1}{6} \div 1 \frac{5}{9} \times 3 \frac{1}{3}$
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Simplify : $5 \frac{1}{3}-\left[2 \frac{1}{3} \div\left\{\frac{3}{4}-\frac{1}{2} \times\left(\frac{7}{10}-\frac{3}{5}\right)\right\}\right]$
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Simplify : $3 \div\left[3 \times\left\{3-\left(3-\frac{1}{4}\right)\right\}\right]$
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Simplify : $3 \frac{7}{8}-\left\{1 \frac{3}{8} \div\left(2 \frac{4}{5}-1 \frac{7}{10}\right)\right\}$
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Simplify : $\left(\frac{1}{4}-\frac{1}{9}\right) \div\left(\frac{1}{2}+\frac{1}{4} \div \frac{1}{3}\right)$
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Simplify : $\frac{1}{3}\left(2 \frac{1}{2}+3 \frac{1}{3}\right) \div \frac{2}{9}\left(3 \frac{1}{8}-1 \frac{1}{12}\right)$
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The product of two fractions is $15 \frac{3}{4}$. If one of them is $4 \frac{1}{2}$, find the other.
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The area of a rectangular plot of land is $46 \frac{2}{5}$ sq.m. If its length is $7 \frac{1}{4} m$, find its breadth.
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A car travels $283 \frac{1}{2} km$ in $4 \frac{2}{3}$ hours. How far does it go in 1 hour?
Answer$60 \frac{3}{4} km$
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A cord of length $126 \frac{1}{2} m$ has been cut into 46 pieces of equal length. What is the length of each piece?
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Tanvy cuts 54 m of cloth into pieces, each of length $3 \frac{3}{8} m$. How many pieces does she get?
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The cost of $3 \frac{1}{2}$ metres of cloth is $₹ 547 \frac{3}{4}$. Find the cost of 1 metre of cloth.
Answer₹ $156 \frac{1}{2}$
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The cost of 1 litre of petrol is ₹ $65 \frac{3}{4}$. Find the cost of 36 litres of petrol.
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The cost of 1 litre of milk is ₹ $42 \frac{3}{5}$. Find the cost of $12 \frac{1}{2}$ litres of milk.
Answer₹ $532 \frac{1}{2}$
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On one day, a labourer earned ₹ 125 . Out of this money, he spent ₹ $68 \frac{1}{2}$ on food, ₹ $20 \frac{3}{4}$ on tea and ₹ $16 \frac{2}{5}$ on other eatables. How much does he save on that day?
Answer₹ $19 \frac{7}{20}$
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Three boxes weigh $9 \frac{1}{2} kg, 14 \frac{1}{5} kg$ and $18 \frac{3}{4} kg$ respectively. A porter carriers all the three boxes. What is the total weight carried by the porter?
Answer$42 \frac{9}{20} kg$
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From a piece of wire $12 \frac{3}{4} m$ long, a small piece of length $3 \frac{5}{6} m$ has been cut off. What is the length of the remaining piece?
Answer$8 \frac{11}{12} m$
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The sum of two fractions is $14 \frac{5}{12}$. If one of them is $7 \frac{2}{3}$, find the other.
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Of $\frac{17}{20}$ and $\frac{21}{25}$, which is greater and by how much?
Answer$\frac{17}{20}$ is greater by $\frac{1}{100}$
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What must be subtracted from $9 \frac{1}{6}$ to get $6 \frac{1}{9}$ ?
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What should be added to $9 \frac{4}{7}$ to get 16 ?
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Subtract the sum of $2 \frac{5}{12}$ and $3 \frac{3}{4}$ from the sum of $7 \frac{1}{3}$ and $5 \frac{1}{6}$.
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Subtract the sum of $9 \frac{3}{4}$ and $3 \frac{5}{6}$ from $15 \frac{7}{12}$.
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Reduce the following fraction to its lowest terms : $\frac{135}{150}$
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Reduce the following fraction to its lowest terms : $\frac{117}{143}$
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Reduce the following fraction to its lowest terms : $\frac{105}{168}$
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Reduce the following fraction to its lowest terms : $\frac{85}{153}$
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Reduce the following fraction to its lowest terms : $\frac{58}{87}$
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Reduce the following fraction to its lowest terms : $\frac{38}{95}$
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Reduce the following fraction to its lowest terms : $\frac{45}{54}$
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Reduce the following fraction to its lowest terms : $\frac{27}{36}$
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Wrie an equivalent fraction of : $\frac{75}{90}$ with denominator 42.
Answer$\frac{35}{42}$
$\left[\right.$ Hint $\left.: \frac{75}{90}=\frac{75 \div 15}{90 \div 15}=\frac{5}{6}=\frac{5 \times 7}{6 \times 7}\right]$
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Wrie an equivalent fraction of : $\frac{45}{54}$ with numerator 20.
Answer$\frac{20}{24}$
$\left[\right.$ Hint $\left.: \frac{45}{54}=\frac{45 \div 9}{54 \div 9}=\frac{5}{6}=\frac{5 \times 4}{6 \times 4}\right]$
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