 # What is 7/12 + 6/8? 7 12
+
 6 8

## Step 1

We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator.

Now we multiply 7 by 8, and get 56, then we multiply 12 by 8 and get 96. Now for the second term. You multiply 6 by 12, and get 72, then multiply 12 by 8 and get 96. This gives us a new problem that looks like so:

 56 96
+
 72 96

## Step 2

Since our denominators match, we can add the numerators.

56 + 72 = 128

That gives us an answer of

 128 96

## 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:

 128 96
÷ 2 =
 64 48

Let's try dividing by that again...

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

 64 48
÷ 2 =
 32 24

Let's try dividing by that again...

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

 32 24
÷ 2 =
 16 12

Let's try dividing by that again...

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

 16 12
÷ 2 =
 8 6

Let's try dividing by that again...

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

 8 6
÷ 2 =
 4 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 4. So we're done reducing.

There you have it! Here's the final answer to 7/12 + 6/8

 7 12
+
 6 8
=
 4 3