math help

What is 91/6 + 6/12?

What is 91/6 + 6/12?

This is how we add

91
6
+
6
12

Step 1

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

12 goes into 6 evenly, so we only need to multiply 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

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

182
12
+
6
12

Step 2

Since our denominators match, we can add the numerators.

182 + 6 = 188

Answer:

188
12

Step 3

Now, do we need to simplify this fraction?

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

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

188
12
÷ 2 =
94
6

Now, try the same number again.

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

94
6
÷ 2 =
47
3

Now, try the same number again.

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

Nope. Try the next prime number, 5...

No good. 5 is larger than 3. So we're done reducing.

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

91
6
+
6
12
=
47
3
© 2014 Randy Tayler