Question

Which one of the following pairs of numbers contains like fractions?

A. 4⁄8 and 12⁄16
B. 6⁄7 and 60⁄70
C. 1⁄2 and 3⁄2
D. 5⁄4 and 4⁄5

Answer 1

Like fractions are fractions that have the exact same denominator.
1/2 and 3/2 have the exact same denominators , therefore, they are like fractions

Answer 2

Answer: Option (B) is the correct answer.

Explanation:

Like fractions are the two rational numbers which have same numerator and denominator.

For example,
`(5)/(7)` and
`(35)/(49)` are like fractions.

In the given options,
`(4)/(8)` =
`(1)/(2)` and
`(12)/(16)` =
`(3)/(4)`. Thus, these are not like fractions.

In
`(6)/(7)` and
`(60)/(70)`, the fraction
`(60)/(70)` =
`(6)/(7)`. Hence, these are like fractions.

Similarly, in
`(1)/(2)` and
`(3)/(2)`, the numerators and denominators of both the fractions are not equal to each other. Thus, they are not like fractions.

In
`(5)/(4)` and
`(4)/(5)`, the numerators and denominators of both the fractions are not equal to each other. Thus, they are not like fractions.

Therefore, we can conclude that out of the given options only
`(6)/(7)` and
`(60)/(70)` are pairs of numbers which contains like fractions.