Question

The denominator of the sum of $\frac{1}{16}$ and $\frac{6}{16}$ is

• A. $32$
• B. $8$
• C. $16$
• D. $7$

Answer 1

The correct option is C $16$

Sum of $\frac{1}{16}$ and $\frac{6}{16}$
$=\frac{1}{16}+\frac{6}{16}$

Step 1: Add the numerators, put that answer over the common denominator.
$=\frac{\text{Sum of numerators}}{\text{Common denominator}}$
$=\frac{1+6}{16}$
$=\frac{7}{16}$

Step 2: Simplify the fraction.
$\frac{7}{16}$ is already in its simplest form, as, its numerator and denominator have no common factors other than 1.

Hence, the denominator of the sum of $\frac{1}{16}$ and $\frac{6}{16}$ is $16.$