math help

What is 91/6 + 9/12?

What is 91/6 + 9/12?

This is how to add

91
6
+
9
12

Step 1

Our denominators (bottom numbers) don't match, so we can't add yet.

Since 6 is evenly divided by 12, we can multiply just one term to get a common denominator.

Multiply 91 by 2, and get 182, then we multiply 6 by 2 and get 12.

91/6 times 2

The problem now has new fractions to add:

182
12
+
9
12

Step 2

Since our denominators match, we can add the numerators.

182 + 9 = 191

The sum we get is

191
12

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...

No good. 13 is larger than 12. So we're done reducing.

Congratulations! Here's your final answer to 91/6 + 9/12

91
6
+
9
12
=
191
12
© 2014 Randy Tayler