Question

Write four equivalent rational numbers for each of the following:

$\frac{5}{6}$

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 lets take $\mathrm{k}=2,3,4,5,....$ and apply it in the given rational number.

$\frac{5}{6}=\frac{5\times 2}{6\times 2}=\frac{10}{12}$

$\frac{5}{6}=\frac{5\times 3}{6\times 3}=\frac{15}{18}$

$\frac{5}{6}=\frac{5\times 4}{6\times 4}=\frac{20}{24}$

$\frac{5}{6}=\frac{5\times 5}{6\times 5}=\frac{25}{30}$

Hence, $\frac{10}{12},\frac{15}{18},\frac{20}{24},\frac{25}{30}$ are the equivalent rational numbers for $\frac{5}{6}$.