math help

What is 6/88 + 8/11?

What is 6/88 + 8/11?

Let's add

6
88
+
8
11

Step 1

We have to make sure the denominators are equal.

88 goes into 11 evenly, so we only need to multiply one term to get a common denominator.

Multiply 8 by 8, and get 64, then we multiply 11 by 8 and get 88.

8/11 times 8

This gives us a new problem that looks like so:

6
88
+
64
88

Step 2

Since our denominators match, we can add the numerators.

6 + 64 = 70

That gives us an answer of

70
88

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:

70
88
÷ 2 =
35
44

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...

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. 37 is larger than 35. So we're done reducing.

And we're done! Here's the final answer to 6/88 + 8/11

6
88
+
8
11
=
35
44
© 2014 Randy Tayler