Question

Find three equivalent fractions for each fraction.

$\frac{12}{15}$

Answer 1

The fractions whose numerator and denominator are equal is known as a unit fraction. Ex. - $\frac{5}{5},\frac{3}{3},\frac{7}{7},......$

We know that whenever we multiply or divide any number with a unit value then its value remains the same.

Therefore, the equivalent fractions can be written as -

$$\begin{gathered} \frac{12}{15}=\frac{12\times 2}{15\times 2}=\frac{24}{30} \\ \frac{12}{15}=\frac{12\times 3}{15\times 3}=\frac{36}{45} \\ \frac{12}{15}=\frac{12\times 4}{15\times 4}=\frac{48}{60} \end{gathered}$$

Hence, three equivalent fractions of $\frac{12}{15}$ is $\frac{24}{30},\frac{36}{45}and\frac{48}{60}.$