 # What is 10/12 + 2/10? 10 12
+
 2 10

## 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 10 by 10, and get 100, then we multiply 12 by 10 and get 120. Do the same for the second term. We multiply 2 by 12, and get 24, then multiply 12 by 10 and get 120. The problem now has new fractions to add:

 100 120
+
 24 120

## Step 2

Since our denominators match, we can add the numerators.

100 + 24 = 124

 124 120

## Step 3

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

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

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

 124 120
÷ 2 =
 62 60

Now, try the same number again.

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

 62 60
÷ 2 =
 31 30

Now, try the same number again.

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

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...

No good. 31 is larger than 30. So we're done reducing.