math help

What is 91/6 + 8/12?

What is 91/6 + 8/12?

Here's how you add

91
6
+
8
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

This gives us a new problem that looks like so:

182
12
+
8
12

Step 2

Since our denominators match, we can add the numerators.

182 + 8 = 190

So what's the answer so far?

190
12

Step 3

Can this fraction be reduced?

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

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

190
12
÷ 2 =
95
6

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...

Nope! So now we try the next greatest prime number, 7...

No good. 7 is larger than 6. So we're done reducing.

There you have it! Here's the final answer to 91/6 + 8/12

91
6
+
8
12
=
95
6
© 2014 Randy Tayler