# Which fraction is bigger 3/4 or 2/3?

##### 1 Answer
Nov 14, 2016

$\frac{3}{4}$ is bigger.

#### Explanation:

To check which of the two factors is bigger,

we should make the denominator of two factors same by finding GCD and then making each of the denominator equal to their GCD.

Here in $\frac{3}{4}$ and $\frac{2}{3}$ denominators are $4$ and $3$ and their GCD is $12$. Now let us make each denominator equal to $12$.

$\frac{3}{4} = \frac{3 \times 3}{3 \times 4} = \frac{9}{12}$ and

$\frac{2}{3} = \frac{4 \times 2}{4 \times 3} = \frac{8}{12}$

Now as $\frac{9}{12} > \frac{8}{12}$, we have $\frac{3}{4} > \frac{2}{3}$

hence $\frac{3}{4}$ is bigger.