Question

By what number 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 $1\frac{1}{2}$.