Question

Susie use the one have to help compare 1/3 to 3/5 and to help in comparing 3/7 with 2/3 explain how 1/2 helps determine which fraction is greater than each combination

Answer 1

The fraction
`(3)/(5)` and
`(2)/(3)` are the greatest in each combination.

Step-by-step explanation:

Comparing the fraction
`(1)/(2)` with
`(1)/(3)` and
`(3)/(5)` to find the greatest value.

The fraction
`(1)/(2)>(1)/(3)` and
`(1)/(2)<(3)/(5)`

Thus,
`(1)/(3)<(1)/(2)<(3)/(5)`

Hence,
`(3)/(5)` is the greatest value in this combination.

Also, Comparing the fraction
`(1)/(2)` with
`(3)/(7)` and
`(2)/(3)` to find the greatest value.

The fraction
`(1)/(2)>(3)/(7)` and
`(1)/(2)<(2)/(3)`

Thus,
`(3)/(7)<(1)/(2)<(2)/(3)`

Hence,
`(2)/(3)` is the greatest value in this combination.