Question

By what numbet should $\frac{-3}{8}$ be multiplied so that the product is $\frac{-9}{16}$ ?

Answer 1

Step 1 : Making an equation by using given data

Let, the required number be x.

Given, other number = $\frac{-3}{8}$

And product of the two numbers = $\frac{-9}{16}$

According to question,

$x\times \left(\frac{-3}{8}\right)=\frac{-9}{16}$

Step 2: Solving the given equation to find x

$x\times \left(\frac{-3}{8}\right)=\frac{-9}{16}$

$x=\frac{-9}{16}\times \frac{8}{-3}$

$x=\frac{9\times 8}{16\times 3}$

$x=\frac{3}{2}$

$x=1\frac{1}{2}$

Hence, the required number is $x=1\frac{1}{2}$.