# What is 3/12 + 8/11?

 3 12
+
 8 11

## Step 1

Of course, you can't add two fractions if the denominators (bottom numbers) don't match. To get a common denominator, multiply the denominators together. Then we fix the numerators by multiplying each one by their other term's denominator.

Now you multiply 3 by 11, and get 33, then we multiply 12 by 11 and get 132.

Do the same for the second term. We multiply 8 by 12, and get 96, then multiply 12 by 11 and get 132.

The problem now has new fractions to add:

 33 132
+
 96 132

## Step 2

Since our denominators match, we can add the numerators.

33 + 96 = 129

 129 132

## Step 3

The last step is to reduce the fraction if we can.

To find out, we try dividing it by 2...

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

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

 129 132
÷ 3 =
 43 44

Now, try the same number again.

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

Nope. Try the next prime number, 7...

Nope. Try the next prime number, 11...

Nope. Try the next prime number, 13...

Nope. Try the next prime number, 17...

Nope. Try the next prime number, 19...

Nope. Try the next prime number, 23...

Nope. Try the next prime number, 29...

Nope. Try the next prime number, 31...

Nope. Try the next prime number, 37...

Nope. Try the next prime number, 41...

Nope. Try the next prime number, 43...

Nope. Try the next prime number, 47...

No good. 47 is larger than 43. So we're done reducing.