Question

Find the rational numbers equal to $\frac{5}{7}$.

Answer 1

Compute the required numbers

A rational number is a type of real numbers. It can be defined as any number that can be expressed in the $\frac{p}{q}$ form where $q\ne 0$

An infinite number of rational number equal to a given one can be generated by multiplying the numerator and denominator by the same integer.

Thus,

$$\begin{gathered} \frac{5}{7}=\frac{5\times 2}{7\times 2}=\frac{10}{14}, \\ \frac{5}{7}=\frac{5\times 3}{7\times 3}=\frac{15}{21}, \\ \frac{5}{7}=\frac{5\times 4}{7\times 4}=\frac{20}{28} \end{gathered}$$

Thus, rational numbers equal to $\frac{5}{7}$ are $\frac{10}{14}$, $\frac{15}{21}$, $\frac{20}{28}$ etc.