Is 5/6 bigger than 3/4 - best answer and explaination

Is 5/6 bigger than 3/4 ?

A common question, so what's bigger?

Here's an explaination.

I like to think of a cake divided up.

Imagine a cake divided into 4 pieces and 3/4 is 3 pieces of cake.

Now imagine a same sized cake but divided into 6 pieces.
Half a cake is 3 pieces, so 3/4 of the cake must be 4.5 pieces (1.5 times a half)

So 3/4 is the same as 4.5 sixths.

Therefore 5/6 is bigger than 3/4

Another way to think of this is to make the fractions have a common denominatior.

5/6 = 20/24

3/4 = 18/24/

so 5/6 is bigger than 3/4

Any other ways of thinking of it?

Yes - think of what's remaining to make a whole.

So the question which is bigger a 1/6 or 1/4 will help here. Obviously something divided by 6 is going to be less than something divided by 4, so 5/6 is bigger than 3/4

I welcome comments below.