 What is 6/10 + 6/12? 6 10
+
 6 12

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 6 by 12, and get 72, then we multiply 10 by 12 and get 120. Do the same for the second term. We multiply 6 by 10, and get 60, then multiply 10 by 12 and get 120. The problem now has new fractions to add:

 72 120
+
 60 120

Step 2

Since our denominators match, we can add the numerators.

72 + 60 = 132

 132 120

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:

 132 120
÷ 2 =
 66 60

Now, try the same number again.

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

 66 60
÷ 2 =
 33 30

Now, try the same number again.

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

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

 33 30
÷ 3 =
 11 10

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...

No good. 11 is larger than 10. So we're done reducing.