math help

What is 31/12 + 2/4?

What is 31/12 + 2/4?

Here's how to add

31
12
+
2
4

Step 1

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

12 goes into 4 evenly, so we only need to multiply one term to get a common denominator.

Multiply 2 by 3, and get 6, then we multiply 4 by 3 and get 12.

2/4 times 3

This gives us a new problem that looks like so:

31
12
+
6
12

Step 2

Since our denominators match, we can add the numerators.

31 + 6 = 37

That gives us an answer of

37
12

Step 3

Can this fraction be reduced?

First, we attempt to divide 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...

No good. 13 is larger than 12. So we're done reducing.

Congratulations! Here's your final answer to 31/12 + 2/4

31
12
+
2
4
=
37
12
© 2014 Randy Tayler