 # What is 5/7 + 1/9? Let's add

 5 7
+
 1 9

## 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 5 by 9, and get 45, then we multiply 7 by 9 and get 63. Do the same for the second term. We multiply 1 by 7, and get 7, then multiply 7 by 9 and get 63. The problem now has new fractions to add:

 45 63
+
 7 63

## Step 2

Since our denominators match, we can add the numerators.

45 + 7 = 52

The sum we get is

 52 63

## 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...

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...

No good. 53 is larger than 52. So we're done reducing.

Congratulations! Here's your final answer to 5/7 + 1/9

 5 7
+
 1 9
=
 52 63
© 2014 Randy Tayler