math help

What is 91/6 + 2/7?

What is 91/6 + 2/7?

Let's add

91
6
+
2
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 2 by 6, and get 12, then multiply 6 by 7 and get 42.

2/7 times 6

The problem now has new fractions to add:

637
42
+
12
42

Step 2

Since our denominators match, we can add the numerators.

637 + 12 = 649

This yields the answer

649
42

Step 3

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

To find out, we try dividing 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 + 2/7

91
6
+
2
7
=
649
42
© 2014 Randy Tayler