 # What is 3/10 + 4/8? 3 10
+
 4 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 3 by 8, and get 24, then we multiply 10 by 8 and get 80. Now for the second term. You multiply 4 by 10, and get 40, then multiply 10 by 8 and get 80. This gives us a new problem that looks like so:

 24 80
+
 40 80

## Step 2

Since our denominators match, we can add the numerators.

24 + 40 = 64

That gives us an answer of

 64 80

## 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:

 64 80
÷ 2 =
 32 40

Now, try the same number again.

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

 32 40
÷ 2 =
 16 20

Now, try the same number again.

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

 16 20
÷ 2 =
 8 10

Now, try the same number again.

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

 8 10
÷ 2 =
 4 5

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 4. So we're done reducing. 