Question

Find the pair of fractions as a pair of fractions with a common denominator 1/4 and 2/3

Answer 1

`(3)/(12) ,(8)/(12)`

Explanation:

Given fraction: 1/4 and 2/3

To find common denominator, we will use Least common divisor (LCD) of 4 and 3.

`4= 2* 2\\3= 3* 1`

∴ Least common divisor (LCD) =
`4* 3= 12`

Now, to make denominator common for both the fractions, we need to multiply denominator with a number equal to 12.

∴
`(1)/(4) =(?)/(12)`

Multiply numerator and denominator by 3

`(1* 3)/(4* 3) = (3)/(12)`

Next solving for another fraction:

`(2)/(3) =(?)/(12)`

Multiply numerator and denominator by 4

`(2* 4)/(3* 4) = (8)/(12)`

∴ We have
`(3)/(12)\  and \ (8)/(12)` with common denominator.