Question

Write five fractions equivalent of the following :

$\frac{2}{3}$

Answer 1

To get a fraction equivalent to a given fraction, we multiply or divide the numerator and denominator of the given fraction by the natural number

$$\begin{gathered} \frac{2}{3}=\frac{2\times 2}{3\times 2}=\frac{2\times 3}{3\times 3}=\frac{2\times 4}{3\times 4}=\frac{2\times 5}{3\times 5}=\frac{2\times 6}{3\times 6} \\ =\frac{4}{6}=\frac{6}{9}=\frac{8}{12}=\frac{10}{15}=\frac{12}{18} \end{gathered}$$

Thus,

Required fractions equivalent to a given fraction $\frac{2}{3}$ are $\mathbf{}\mathbf{}\frac{\mathbf{4}}{\mathbf{6}}\mathbf{,}\frac{\mathbf{6}}{\mathbf{9}}\mathbf{,}\frac{\mathbf{8}}{\mathbf{12}}\mathbf{,}\frac{\mathbf{10}}{\mathbf{15}}\mathbf{,}\frac{\mathbf{12}}{\mathbf{18}}$