Question

Which number is greater in each set?

Answer 1

We have three set of numbers and we must choose the greater value in each set

1.

`(1)/(3)or(1)/(4)or(1)/(5)`

When the numerator is 1, the greater fraction is the one that has the small denominator.

So, in this case the greater number is

`(1)/(3)`

2.

`(1)/(4)or(4)/(3)or(5)/(6)`

In this case we can rewrite the fractions as fractions with the same denominator

`(1)/(4)=(3)/(12)`
`(4)/(3)=(16)/(12)`
`(5)/(6)=(10)/(12)`

Then, the greater number is the one that has the greater numarator

So, it is

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

in this case the greater number is

`(4)/(3)`

3.

`(16)/(5)or3(2)/(5)or3.25`

In this case we can rewrite the numbers as decimal numbers

`(16)/(5)=3.2`
`3(2)/(5)=3.4`
`3.25=3.25`

In this case the greater number is

`3(2)/(5)`