Question

Mark the correct alternative in each of the following:

By what number $4\frac{3}{5}$ be multiplied to get $2\frac{3}{7}$?

(a) $\frac{391}{35}$ (b) $\frac{85}{91}$ (c) $\frac{91}{85}$ (d) None of these

Answer 1

Product of two numbers = $2\frac{3}{7}=\frac{17}{7}$

One of the numbers = $4\frac{3}{5}=\frac{23}{5}$

∴ Other number = Product of two numbers ÷ One of the numbers

$$\begin{gathered} =\frac{17}{7}÷\frac{23}{5} \\ =\frac{17}{7}\times \frac{5}{23} \\ =\frac{17\times 5}{7\times 23} \\ =\frac{85}{161} \end{gathered}$$

Hence, the correct answer is option (d).