math help

What is 91/6 + 6/7?

What is 91/6 + 6/7?

Here's how you add

91
6
+
6
7

Step 1

Of course, you can't add two fractions if the denominators (bottom numbers) don't match. To get a common denominator, multiply the denominators together. Then we fix the numerators by multiplying each one by their other term's denominator.

Now you multiply 91 by 7, and get 637, then we multiply 6 by 7 and get 42.

91/6 times 7

Do the same for the second term. We multiply 6 by 6, and get 36, then multiply 6 by 7 and get 42.

6/7 times 6

The problem now has new fractions to add:

637
42
+
36
42

Step 2

Since our denominators match, we can add the numerators.

637 + 36 = 673

The sum we get is

673
42

Step 3

The last step is to reduce the fraction if we can.

To find out, we try dividing 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 + 6/7

91
6
+
6
7
=
673
42
© 2014 Randy Tayler