math help

What is 22/60 + 9/12?

What is 22/60 + 9/12?

Here's how you add

22
60
+
9
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 9 by 5, and get 45, then we multiply 12 by 5 and get 60.

9/12 times 5

We now have a new problem, that looks like this:

22
60
+
45
60

Step 2

Since our denominators match, we can add the numerators.

22 + 45 = 67

That gives us the sum, which is

67
60

Step 3

Now, do we need to simplify this fraction?

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...

Nope. Try the next prime number, 43...

Nope. Try the next prime number, 47...

Nope. Try the next prime number, 53...

Nope. Try the next prime number, 59...

Nope. Try the next prime number, 61...

No good. 61 is larger than 60. So we're done reducing.

Congratulations! Here's your final answer to 22/60 + 9/12

22
60
+
9
12
=
67
60
© 2014 Randy Tayler