Question

A fruit salad recipe calls for 3/4 pound of apples and 2/5 pound of dates. What is the least common denominator of the fractions?

Answer 1

Given:

A fruit salad recipe calls for
`(3)/(4)` pound of apples and
`(2)/(5)` pound of dates.

To find:

The least common denominator of the fractions.

Solution:

The given fractions are:

`(3)/(4)` and
`(2)/(5)`

The denominators of these fractions are 4 and 5 respectively.

Factor form of 4 is 2×2.

5 is a prime number, so factor form of 5 is 5×1.

Now, the least common denominator of the fractions is:

`LCD=2* 2* 5`

`LCD=20`

Therefore, the least common denominator of the fractions is 20.