Question

Madison is adding the mixed numbers 325 and 215. She breaks them down into whole numbers and fractions and writes the sum 535.

Is she correct?

Answer 1

Yes, Madison is correct.

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By breaking down the mixed numbers into whole numbers and fractions, she simplifies the process of addition.

This is a common strategy in mathematics known as decomposition. But let's verify her answer step by step:

First, she separates the whole numbers and fractions:

• 3 (from 3 2/5) + 2 (from 2 1/5) = 5

Then, she adds the fractions which have the same, or common, denominator:

• 2/5 + 1/5 = 3/5

Lastly, she combines the sums of the whole numbers and fractions:

• 5 + 3/5 = 5 3/5

So, Madison's sum of 5 3/5 is indeed correct.