math help

What is 91/6 + 3/7?

What is 91/6 + 3/7?

This is how you add

91
6
+
3
7

Step 1

Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term.

So, 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 3 by 6, and get 18, then multiply 6 by 7 and get 42.

3/7 times 6

We now have a new problem, that looks like this:

637
42
+
18
42

Step 2

Since our denominators match, we can add the numerators.

637 + 18 = 655

Answer:

655
42

Step 3

Now, do we need to simplify this fraction?

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

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. 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. 43 is larger than 42. So we're done reducing.

And we're done! Here's the final answer to 91/6 + 3/7

91
6
+
3
7
=
655
42
© 2014 Randy Tayler