Question

Add: $\frac{1}{2}+\frac{1}{4}$

• A. $\frac{1}{2}$
• B. $\frac{1}{3}$
• C. $\frac{2}{3}$

Answer 1

The correct option is A $\frac{1}{2}$

As these are unlike fractions, we need to convert the fractions into like fractions.

Multiply $\frac{1}{2}$ with 2 to convert the denominator into 4, we get:

$\frac{1}{2}$ = $\frac{1\times 2}{2\times 2}$ = $\frac{2}{4}$

Now add these two fractions,
$\therefore$ $\frac{1}{2}+\frac{1}{4}=\frac{2}{4}+\frac{1}{4}=\frac{2+1}{4}=\frac{3}{4}$

The fraction $\frac{3}{4}$ is already in the simplest form as both the numerator and the denominator has no common factors
$=\frac{3\times 1}{2\times 2}$

Hence, $\frac{1}{2}+\frac{1}{4}$ = $\frac{3}{4}$