1 Mark Question

Question 11 Mark

$\frac{6}{17} \times \frac{3}{2}$

Answer

$\begin{aligned} & \text { viii. } \frac{6}{17} \times \frac{3}{2} \\ & \frac{6}{17} \times \frac{3}{2}=\frac{6 \times 3}{17 \times 2}=\frac{3}{17} \times \frac{6}{2}=\frac{3}{17} \times \frac{3}{1}=\frac{9}{17}\end{aligned}$

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Question 21 Mark

$\frac{5}{6} \times \frac{6}{5}$

Answer

$\begin{aligned} & \text { vii. } \frac{5}{6} \times \frac{6}{5} \\ & \frac{5}{6} \times \frac{6}{5}=\frac{5 \times 6}{6 \times 5}=1\end{aligned}$

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Question 31 Mark

$\frac{9}{7} \times \frac{7}{8}$

Answer

$\begin{aligned} & \text { vi. } \frac{9}{7} \times \frac{7}{8} \\ & \frac{9}{7} \times \frac{7}{8}=\frac{9 \times 7}{7 \times 8}=\frac{9}{8}\end{aligned}$

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Question 41 Mark

$\frac{1}{5} \times \frac{7}{2}$

Answer

$\begin{aligned} & \text { v. } \frac{1}{5} \times \frac{7}{2} \\ & \frac{1}{5} \times \frac{7}{2}=\frac{1 \times 7}{5 \times 2}=\frac{7}{10}\end{aligned}$

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Question 51 Mark

$\frac{4}{11} \times \frac{2}{7}$

Answer

$\begin{aligned} & \text { iv. } \frac{4}{11} \times \frac{2}{7} \\ & \frac{4}{11} \times \frac{2}{7}=\frac{4 \times 2}{11 \times 7}=\frac{8}{77}\end{aligned}$

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Question 61 Mark

$\frac{5}{9} \times \frac{4}{9}$

Answer

$\begin{aligned} & \text { iii. } \frac{5}{9} \times \frac{4}{9} \\ & \frac{5}{9} \times \frac{4}{9}=\frac{5 \times 4}{9 \times 9}=\frac{20}{81}\end{aligned}$

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Question 71 Mark

$\frac{6}{7} \times \frac{2}{5}$

Answer

$\begin{aligned} & \text { ii. } \frac{6}{7} \times \frac{2}{5} \\ & \frac{6}{7} \times \frac{2}{5}=\frac{6 \times 2}{7 \times 5}=\frac{12}{35}\end{aligned}$

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Question 81 Mark

$\frac{7}{5} \times \frac{1}{4}$

Answer

$\begin{aligned} & \text { i. } \frac{7}{5} \times \frac{1}{4} \\ & \frac{7}{5} \times \frac{1}{4}=\frac{7 \times 1}{5 \times 4}=\frac{7}{20}\end{aligned}$

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Question 91 Mark

Of the total number of soldiers in our army,$\frac{4}{9}$are posted on the northern border and one-third of them on the north-eastern border. If the number of soldiers in the north is 5,40,000, how many are posted in the north-east?

Answer

Number of soldiers posted on northern border = 5,40,000
Since, number of soldiers in north-east = one third of the soldiers on northern border
∴ Number of soldiers in the north-east
$=\frac{1}{3} \times 5,40,000=\frac{1 \times 5,40,000}{3 \times 1}=1,80,000$
∴ The number of soldiers in the north-east is 1,80,000.

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