math help

What is 3/24 + 7/12?

What is 3/24 + 7/12?

Here's how we add

3
24
+
7
12

Step 1

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

Since 12 is evenly divided by 24, we can multiply just one term to get a common denominator.

Multiply 7 by 2, and get 14, then we multiply 12 by 2 and get 24.

7/12 times 2

The problem now has new fractions to add:

3
24
+
14
24

Step 2

Since our denominators match, we can add the numerators.

3 + 14 = 17

The sum we get is

17
24

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...

No good. 19 is larger than 17. So we're done reducing.

Congratulations! Here's your final answer to 3/24 + 7/12

3
24
+
7
12
=
17
24
© 2014 Randy Tayler