Question

Write the pair of fractions as a pair of fractions with a common denominator 3/4 and 2/5

Answer 1

The common denominator
`(15)/(20)` and
`(8)/(20)`

Explanation:

To find the common denominator:

• We have to find the LCD of the denominators.
• Then multiply the fraction with the digit obtained from dividing the LCD with the denominator of the fraction concerned.

Here is the work:

LCD of
`(4,5)` is
`(4* 5)=20`.

So we will divide
`20` with
`4` and then with
`5` the quotient will further be put into the fraction.

So

`(20)/(4)=5` will make the fraction
`(3)/(4)` as
`(3* 5)/(4* 5) =(15)/(20)`.

Similarly

`(20)/(5)=4` will make the fraction
`(2)/(5)` as
`(2* 4)/(5* 4) =(8)/(20)`.

Hence with common denominators the fraction can be written as
`((15)/(20)),((8)/(20))`.