Question

Which three of the following mixed numbers will produce a whole number when added?

2 1/2 , 4 1/8 , 3 1/4, 2 3/4, 4 3/8​

Answer 1

`4(1)/(8) , 4(3)/(8) , 2(1)/(2) = 11`

Answer 2

2 1/2 , 4 1/8 , 4 3/8​

Explanation:

First, we need to convert these fractions to common denominators.

The greatest common factor of 2, 4, and 8 is 8

2 1/2 = 2 4/8

4 1/8 = 4 1/8

3 1/4 = 3 2/8

2 3/4 = 2 6/8

4 3/8​ = 4 3/8

Let's ignore the whole number because we know they will total up to a whole number.

We are left with:

4/8, 1/8, 2/8, 6/8, 3/8

Three of these numbers total up to 1

As we can see, 4/8 + 1/8 + 3/8 = 1

Now, add on their whole numbers, 2 + 4 + 4 = 10

2 1/2 + 4 1/8 + 4 3/8​ = 11

Hope this helps :)