math help

What is 91/6 + 2/12?

What is 91/6 + 2/12?

This is how to add

91
6
+
2
12

Step 1

Now we need to make our denominators match.

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
+
2
12

Step 2

Since our denominators match, we can add the numerators.

182 + 2 = 184

That gives us the sum, which is

184
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:

184
12
÷ 2 =
92
6

Let's try dividing by that again...

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

92
6
÷ 2 =
46
3

Let's try dividing by that again...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

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

There you have it! Here's the final answer to 91/6 + 2/12

91
6
+
2
12
=
46
3
© 2014 Randy Tayler