Question

Find four rational numbers equivalent to the following.
$\frac{-3}{8}$

Answer 1

$\frac{-3}{8}$

To find equivalent rational number, we have to multiply and divide numerator with same number except $0$

$\therefore \frac{-3}{8}=\frac{-3\times 2}{8\times 2}=\frac{-6}{16}$

$\therefore \frac{-3}{8}=\frac{-3\times 3}{8\times 3}=\frac{-9}{24}$

$\therefore \frac{-3}{8}=\frac{-3\times 4}{8\times 4}=\frac{-12}{32}$

$\therefore \frac{-3}{8}=\frac{-3\times 5}{8\times 5}=\frac{-15}{40}$

So, equivalent numbers of $\frac{-3}{8}$ are $\frac{-6}{16},\frac{-9}{24},\frac{-12}{32},\frac{-15}{40}$