Question

If we multiply both the numerator and denominator of a fraction with the same non-zero number, its value __________.

• A. increases
• B. remains unchanged
• C. cannot be determined
• D. decreases

Answer 1

The correct option is B remains unchanged

If you multiply both the numerator and denominator of a fraction with the same non-zero number, its value remains unchanged.

For example, let us take the fraction $\frac{3}{5}$.
$\frac{3}{5}=\frac{3\times 2}{5\times 2}=\frac{6}{10}$

Here the fraction $\frac{3}{5}$ was multiplied by the non-zero number $2$. It becomes $\frac{6}{10}$ but its value remains unchanged.