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
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Answer:
2 1/2 , 4 1/8 , 4 3/8
Step-by-step 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 :)