Question

Which of the following is an equivalent fraction of $\frac{5}{4}$?

• A. $\frac{4}{5}$
• B. $\frac{15}{12}$
• C. $\frac{12}{15}$
• D. $\frac{10}{4}$

Answer 1

The correct option is B $\frac{15}{12}$

If we multiply both the numerator and denominator of a fraction by the same number, we get an equivalent fraction.

On multiplying both the numerator and denominator of $\frac{5}{4}$ by 2, we get
$\frac{5}{4}\times \frac{2}{2}=\frac{10}{8}$

On multiplying both the numerator and denominator of $\frac{5}{4}$ by 3, we get
$\frac{5}{4}\times \frac{3}{3}=\frac{15}{12}$

Thus, $\frac{15}{12}$ is an equivalent fraction of $\frac{5}{4},$ whereas $\frac{4}{5}$, $\frac{12}{15}$ and $\frac{10}{4}$ are not.