Question

We have two fractions, 5/8 and 5/4, and we want to rewrite them so that they have a common denominator (and whole number numerators).

choose two answers

a.) 20
b.) 16
c.) 8
d.) 4​

Answer 1

Options b) and c) are correct

Explanation:

Given: fractions are
`(5)/(8),(5)/(4)`

To find: the common denominator

Solution:

Multiply both numerator and denominator of
`(5)/(4)` by 2

`(5)/(4)=(5(2))/(4(2))=(10)/(8)`

So,
`(5)/(8),(10)/(8)` have same denominator 8.

Now multiply numerator and denominator of
`(5)/(8)` by 2,
`(5)/(8)=(5(2))/(8(2))=(10)/(16)`

Now multiply numerator and denominator of
`(5)/(4)` by 4,
`(5)/(4)=(5(4))/(4(4))=(20)/(16)`

So,
`(5)/(8),(10)/(8)` have same denominator 16.

Hence, options b) and c) are correct