 # What is 8/10 + 7/12? This is how you add

 8 10
+
 7 12

## 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 8 by 12, and get 96, then we multiply 10 by 12 and get 120. Now for the second term. You multiply 7 by 10, and get 70, then multiply 10 by 12 and get 120. This gives us a new problem that looks like so:

 96 120
+
 70 120

## Step 2

Since our denominators match, we can add the numerators.

96 + 70 = 166

So what's the answer so far?

 166 120

## 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:

 166 120
÷ 2 =
 83 60

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...

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...

Nope. Try the next prime number, 53...

Nope. Try the next prime number, 59...

Nope. Try the next prime number, 61...

No good. 61 is larger than 60. So we're done reducing.

Congratulations! Here's your final answer to 8/10 + 7/12

 8 10
+
 7 12
=
 83 60
© 2014 Randy Tayler