Question

Give three rational numbers equivalent to $\frac{15}{-18}$

Answer 1

Given, a rational number is $\frac{15}{-18}$

First of all, we express this rational number with a positive denominator.

$\frac{15}{-18}=\frac{15\times (-1)}{-18\times (-1)}=\frac{-15}{18}$

We have to find the three rational numbers equivalent to $\frac{-15}{18}$

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

Thus,

$$\begin{gathered} \frac{-15}{18}=\frac{-15÷3}{18÷3}=\frac{-5}{6} \\ \frac{-15}{18}=\frac{-15\times 2}{18\times 2}=\frac{-30}{36} \\ \frac{-15}{18}=\frac{-15\times 3}{18\times 3}=\frac{-45}{54} \end{gathered}$$

Hence, the three rational numbers equivalent to $\frac{15}{-18}$ are $\frac{-5}{6},\frac{-30}{36}and\frac{-45}{54}$