Question

Give four rational numbers equivalent to:
$\frac{5}{-3}$

Answer 1

The given rational number is $\frac{5}{-3}$.

We can get the rational numbers equivalent to the given number by either multiplying or dividing the numeration by the same, non-zero number.

Let's multiply both the numerator and denominator of the given rational number to find four equivalent rational numbers.

$\left(i\right)\frac{5}{-3}\times \frac{2}{2}$

$=\frac{10}{-6}$

$\left(ii\right)\frac{5}{-3}\times \frac{3}{3}$

$=\frac{15}{-9}$

$\left(iii\right)\frac{5}{-3}\times \frac{4}{4}$

$=\frac{20}{-12}$

$\left(iv\right)\frac{5}{-3}\times \frac{5}{5}$

$=\frac{25}{-15}$

Hence, four equivalent rational numbers of $\frac{5}{-3}$ are $\frac{10}{-6},\frac{15}{-9},\frac{20}{-12},\frac{25}{-15}$.