math help

What is 7/16 + 3/8?

What is 7/16 + 3/8?

This is how to add

7
16
+
3
8

Step 1

Our denominators (bottom numbers) don't match, so we can't add yet.

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

Multiply 3 by 2, and get 6, then we multiply 8 by 2 and get 16.

The problem now has new fractions to add:

7
16
+
6
16

Step 2

Since our denominators match, we can add the numerators.

7 + 6 = 13

This yields the answer

13
16

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...

No good. 17 is larger than 13. So we're done reducing.

Congratulations! Here's your final answer to 7/16 + 3/8

7
16
+
3
8
=
13
16
© 2014 Randy Tayler