# What is 7/16 + 5/8?

Let's add

 7 16
+
 5 8

## Step 1

Now we need to make our denominators match.

Since 8 is evenly divided by 16, we can multiply just one term to get a common denominator.

Multiply 5 by 2, and get 10, then we multiply 8 by 2 and get 16.

So now our fractions look like this:

 7 16
+
 10 16

## Step 2

Since our denominators match, we can add the numerators.

7 + 10 = 17

Now we have an answer.

 17 16

## Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

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

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

Nope! So now we try the next greatest prime number, 13...

Nope! So now we try the next greatest prime number, 17...

No good. 17 is larger than 16. So we're done reducing.

There you have it! Here's the final answer to 7/16 + 5/8

 7 16
+
 5 8
=
 17 16
© 2014 Randy Tayler