 # What is 6/10 + 10/11? This is how you add

 6 10
+
 10 11

## 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 6 by 11, and get 66, then we multiply 10 by 11 and get 110. Now for the second term. You multiply 10 by 10, and get 100, then multiply 10 by 11 and get 110. This gives us a new problem that looks like so:

 66 110
+
 100 110

## Step 2

Since our denominators match, we can add the numerators.

66 + 100 = 166

So what's the answer so far?

 166 110

## 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:

 166 110
÷ 2 =
 83 55

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...

No good. 59 is larger than 55. So we're done reducing.

Congratulations! Here's your final answer to 6/10 + 10/11

 6 10
+
 10 11
=
 83 55
© 2014 Randy Tayler