math help

What is 91/6 + 5/7?

What is 91/6 + 5/7?

Here's how we add

91
6
+
5
7

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 7, and get 637, then we multiply 6 by 7 and get 42.

91/6 times 7

Now for the second term. You multiply 5 by 6, and get 30, then multiply 6 by 7 and get 42.

5/7 times 6

This gives us a new problem that looks like so:

637
42
+
30
42

Step 2

Since our denominators match, we can add the numerators.

637 + 30 = 667

So what's the answer so far?

667
42

Step 3

Can this fraction be reduced?

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

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

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...

Nope. Try the next prime number, 37...

Nope. Try the next prime number, 41...

Nope. Try the next prime number, 43...

No good. 43 is larger than 42. So we're done reducing.

Congratulations! Here's your final answer to 91/6 + 5/7

91
6
+
5
7
=
667
42
© 2014 Randy Tayler