Question

Which of the following form a pair of equivalent rational numbers?

• A. $\frac{24}{46}\text{and}\frac{12}{46}$
• B. $\frac{24}{46}\text{and}\frac{12}{23}$
• C. $\frac{24}{44}\text{and}\frac{12}{46}$
• D. $\frac{24}{46}\text{and}\frac{18}{46}$

Answer 1

The correct option is B

$\frac{24}{46}\text{and}\frac{12}{23}$

Equivalent fractions are obtained when we divide or multiply numerator and denominator with the same number.
$\frac{12}{23}$ = $\frac{12\times 2}{23\times 2}$ = $\frac{24}{46}$

Hence $\frac{12}{23}$ is an equivalent fraction of $\frac{24}{46}$