math help

What is 88/15 + 1/9?

What is 88/15 + 1/9?

Let's add

88
15
+
1
9

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 9, and get 792, then we multiply 15 by 9 and get 135.

88/15 times 9

Now for the second term. You multiply 1 by 15, and get 15, then multiply 15 by 9 and get 135.

1/9 times 15

This gives us a new problem that looks like so:

792
135
+
15
135

Step 2

Since our denominators match, we can add the numerators.

792 + 15 = 807

That gives us an answer of

807
135

Step 3

Can this fraction be reduced?

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

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:

807
135
÷ 3 =
269
45

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. So next you try the next prime number, which is 13...

No good. So next you try the next prime number, which is 17...

No good. So next you try the next prime number, which is 19...

No good. So next you try the next prime number, which is 23...

No good. So next you try the next prime number, which is 29...

No good. So next you try the next prime number, which is 31...

No good. So next you try the next prime number, which is 37...

No good. So next you try the next prime number, which is 41...

No good. So next you try the next prime number, which is 43...

No good. So next you try the next prime number, which is 47...

No good. 47 is larger than 45. So we're done reducing.

And we're done! Here's the final answer to 88/15 + 1/9

88
15
+
1
9
=
269
45
© 2014 Randy Tayler