# Please solve # 15 1/2 + 16 1/4 - 12 5/8 - 14 1/6 ?#

##### 4 Answers

#### Explanation:

There are a couple of ways to approach this - we can convert the mixed numbers to improper fractions (which will result in big numerators when we get a common denominator) or we can rewrite the expression this way:

Let's distribute the negative signs:

and now regroup the expression with whole numbers grouped together and fractions grouped together:

We can simplify the whole number part of the expression:

And now let's focus on the fractions. We need the Lowest Common Denominator, which is 24 and can be found by using prime factorizations:

And now we grab the largest grouping of each prime. There are three 2s (in the 8) and a single 3 (in the 6), so we have:

Let's now see that we can express the number 5 as

and we can express 1 as

Deal with the whole numbers first

Then the fractions

Putting these together