Question

Which is greater three fourths or eleven sixteen

Answer 1

★ Which is greater?

`(3)/(4)` OR
`(11)/(16)`

The first thing you need to do is check if the denominators are the same. The denominator is the number on the bottom. The denominators are:

`4` and
`16`

Since they are not the same, change them so that they have a common denominators. To do that, list the first few multiples of both numbers to find the GCM.

`4-4, 8, 12, 16, 20, 24, 28, 32 \\ 16-16,32,48,64, 80, 96`

The 2 common multiples of 4 and 16 are:

`16` and
`32`

Since 16 is less than 32, the new denominator of the 2 fractions should be 16. Change the fractions so that they have a denominator of 16.

`(3 * 4)/(4 * 4) = (12)/(16)`

`(11 * 1)/(16 * 1) = (11)/(16)`

Which is greater?

`(12)/(16)` OR
`(11)/(16)`

Since 12 is greater than 11,
`(11)/(12) \rightarrow (3)/(4)` is greater.

ANSWER:
`(3)/(4)`