Question

Find the three rational numbers equivalent to $\frac{-3}{11}$

Answer 1

Given a rational number is $\frac{-3}{11}$

We have to find the three rational numbers equivalent to $\frac{-3}{11}$

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

Thus,

$$\begin{gathered} \frac{-3}{11}=\frac{-3\times 2}{11\times 2}=\frac{-6}{22} \\ \frac{-3}{11}=\frac{-3\times 3}{11\times 3}=\frac{-9}{33} \\ \frac{-3}{11}=\frac{-3\times 4}{11\times 4}=\frac{-12}{44} \end{gathered}$$

Hence, the three rational numbers equivalent to $\frac{-3}{11}$are $\frac{-6}{22},\frac{-9}{33}and\frac{-12}{44}$