Question

Lina wants to find the least common denominator of 4/32 and 5/8 so that she can add the fractions.What is the least common denominator?Rewrite the fractions with a common denominator.Explain your reasoning

Answer 1

Least common denominator = 32

Explanation:

We are given the following in the question:

Lina wants to find the least common denominator of two fractions so she can add them.

`(4)/(32)\text{ and }(5)/(8)`

To find the LCM of the fractions:

`8 = 2* 2* 2\\32 = 2* 2* 2* 2* 2\\\text{Common factors = }2* 2* 2\\LCM = 2* 2* 2* 2* 2 = 32`

The fractions can be added in the following manner:

`(4)/(32) + (5)/(8)\\\\=(4* 1)/(32* 1) + (5* 4)/(8* 4)\\\\= (4)/(32) + (20)/(32)\\\\=(4+20)/(32)\\\\=(24)/(32)`