math help

What is 88/15 + 6/12?

What is 88/15 + 6/12?

This is how you add

88
15
 +
6
12

Step 1

We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator.

Now we multiply 88 by 12, and get 1056, then we multiply 15 by 12 and get 180.

88/15 times 12

Now for the second term. You multiply 6 by 15, and get 90, then multiply 15 by 12 and get 180.

6/12 times 15

This gives us a new problem that looks like so:

1056
180
 +
90
180

Step 2

Since our denominators match, we can add the numerators.

1056 + 90 = 1146

That gives us an answer of

1146
180

Step 3

Can this fraction be reduced?

First, we attempt to divide it by 2...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

1146
180
 ÷ 2 =
573
90

Now, try the same number again.

Nope. Try the next prime number, 3...

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

573
90
 ÷ 3 =
191
30

Now, try the same number again.

Nope. Try the next prime number, 5...

Nope. Try the next prime number, 7...

Nope. Try the next prime number, 11...

Nope. Try the next prime number, 13...

Nope. Try the next prime number, 17...

Nope. Try the next prime number, 19...

Nope. Try the next prime number, 23...

Nope. Try the next prime number, 29...

Nope. Try the next prime number, 31...

No good. 31 is larger than 30. So we're done reducing.

Congratulations! Here's your final answer to 88/15 + 6/12

88
15
 +
6
12
 =
191
30
© 2014 Randy Tayler

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