math help

What is 22/60 + 3/12?

What is 22/60 + 3/12?

This is how to add

22
60
+
3
12

Step 1

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

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

Multiply 3 by 5, and get 15, then we multiply 12 by 5 and get 60.

3/12 times 5

This gives us a new problem that looks like so:

22
60
+
15
60

Step 2

Since our denominators match, we can add the numerators.

22 + 15 = 37

That gives us an answer of

37
60

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...

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...

No good. 41 is larger than 37. So we're done reducing.

Congratulations! Here's your final answer to 22/60 + 3/12

22
60
+
3
12
=
37
60
© 2014 Randy Tayler