Question

Find the three rational numbers equivalent to $\frac{4}{-9}$

Answer 1

Given, a rational number is $\frac{4}{-9}$

We have to find the three rational numbers equivalent to $\frac{4}{-9}$

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,

$$\begin{gathered} \frac{4}{-9}=\frac{4\times 2}{-9\times 2}=\frac{8}{-18} \\ \frac{4}{-9}=\frac{4\times 3}{-9\times 3}=\frac{12}{-27} \\ \frac{4}{-9}=\frac{4\times 4}{-9\times 4}=\frac{16}{-36} \end{gathered}$$

Hence the three rational numbers equivalent to $\frac{4}{-9}$ are $\frac{8}{-18},\frac{12}{-27}and\frac{16}{-36}$