Question

Write four equivalent rational numbers for the following:

$-\frac{5}{11}$

Answer 1

A rational number is defined as a number that can be expressed in the form $\frac{\mathrm{p}}{\mathrm{q}}$ where $\mathrm{p}$ (numerator) and $\mathrm{q}$ (denominator) are integers$(\mathrm{q}\ne 0)$. Then $\frac{\mathrm{p}\times \mathrm{k}}{\mathrm{q}\times \mathrm{k}}$ is its equivalent rational number, where $\mathrm{k}$ is a non-zero integer.

So according to the above definition let's take $\mathrm{k}=2,3,4,5,....$ and apply it to the given rational number.

$-\frac{5}{11}=-\frac{5\times 2}{11\times 2}=-\frac{10}{22}$

$-\frac{5}{11}=-\frac{5\times 3}{11\times 3}=-\frac{15}{33}$

$-\frac{5}{11}=-\frac{5\times 4}{11\times 4}=-\frac{20}{44}$

$-\frac{5}{11}=-\frac{5\times 5}{11\times 5}=-\frac{25}{55}$

Hence, $-\frac{10}{22},-\frac{15}{33},-\frac{20}{44},-\frac{25}{55}$ are the equivalent rational numbers for$-\frac{5}{11}$.