math help

What is 91/6 + 6/10?

What is 91/6 + 6/10?

Let's add

91
6
+
6
10

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 91 by 10, and get 910, then we multiply 6 by 10 and get 60.

91/6 times 10

Now for the second term. You multiply 6 by 6, and get 36, then multiply 6 by 10 and get 60.

6/10 times 6

This gives us a new problem that looks like so:

910
60
+
36
60

Step 2

Since our denominators match, we can add the numerators.

910 + 36 = 946

That gives us an answer of

946
60

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:

946
60
÷ 2 =
473
30

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. 31 is larger than 30. So we're done reducing.

And we're done! Here's the final answer to 91/6 + 6/10

91
6
+
6
10
=
473
30
© 2014 Randy Tayler