math help

What is 88/15 + 10/12?

What is 88/15 + 10/12?

This is how to add

88
15
+
10
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 10 by 15, and get 150, then multiply 15 by 12 and get 180.

10/12 times 15

This gives us a new problem that looks like so:

1056
180
+
150
180

Step 2

Since our denominators match, we can add the numerators.

1056 + 150 = 1206

So what's the answer so far?

1206
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:

1206
180
÷ 2 =
603
90

So far so good... let's try to divide by that number again.

No good. So next you try the next prime number, which is 3...

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

603
90
÷ 3 =
201
30

So far so good... let's try to divide by that number again.

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

201
30
÷ 3 =
67
10

So far so good... let's try to divide by that number again.

No good. So next you try the next prime number, which is 5...

No good. So next you try the next prime number, which is 7...

No good. So next you try the next prime number, which is 11...

No good. 11 is larger than 10. So we're done reducing.

And we're done! Here's the final answer to 88/15 + 10/12

88
15
+
10
12
=
67
10
© 2014 Randy Tayler

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