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

2 Answers
EZ as pi
Jul 20, 2017

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

Moksha ยท Jim H
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 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!

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