Question

Find three rational numbers equivalent to $\frac{-3}{4}$

Answer 1

Given, a rational number is $\frac{-3}{4}$

We have to find the three rational numbers equivalent to $\frac{-3}{4}$

We can obtain the equivalent rational number by multiplying or dividing the numerator and denominator of a rational number by the same non-zero integer.

Thus,

$$\begin{gathered} \frac{-3}{4}=\frac{-3\times 2}{4\times 2}=\frac{-6}{8} \\ \frac{-3}{4}=\frac{-3\times 3}{4\times 3}=\frac{-9}{12} \\ \frac{-3}{4}=\frac{-3\times 4}{4\times 4}=\frac{-12}{16} \end{gathered}$$

Hence, the three rational numbers equivalent to $\frac{-3}{4}$ are $\frac{-6}{8},\frac{-9}{12}and\frac{-12}{16}$