Question

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

Answer 1

`3/4 > 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%`

`3/4 > 2/3`

Answer 2

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 `3/4`, we are multiplying 3 to the bottom (denominator) so we have to multiply `3` to the top (numerator).
For `2/3` we are multiplying `4` to the bottom so we have to multiply `4` to the top.

`(3xx3)/(4xx3)=9/12` and `(2xx4)/(3xx4)=8/12`

Now look just at the numerators of the two answers. `9` is greater than `8` so `9/12` is greater! `9/12` was originally `3/4`.

So `3/4` is greater than `2/3`.

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