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

Jul 20, 2017

$\frac{3}{4} > \frac{2}{3}$

#### Explanation:

Writing common fractions as percentages is a quick way of comparing them

3/4 xx 100%color(white)(wwwwwwww)2/3 xx100%

= 75%color(white)(wwwwwwwwww)66 2/3%

$\frac{3}{4} > \frac{2}{3}$

Jul 20, 2017

3/4 is bigger and the explanation is down below.

#### Explanation:

If we want to compare two fraction, we need the denominator to be the same. So we need the LCM (Lowest Common Multiple) of $4$ and $3$ which is $12$. So we need to multiply 4 to $3$ and 3 to $4$

Remember, whatever you do to the bottom has to be done to the top.

For $\frac{3}{4}$, we are multiplying 3 to the bottom (denominator) so we have to multiply $3$ to the top (numerator).
For $\frac{2}{3}$ we are multiplying $4$ to the bottom so we have to multiply $4$ to the top.

$\frac{3 \times 3}{4 \times 3} = \frac{9}{12}$ and $\frac{2 \times 4}{3 \times 4} = \frac{8}{12}$

Now look just at the numerators of the two answers. $9$ is greater than $8$ so $\frac{9}{12}$ is greater! $\frac{9}{12}$ was originally $\frac{3}{4}$.

So $\frac{3}{4}$ is greater than $\frac{2}{3}$.

I hope you understood this and my source is my knowledge!