math help

What is 22/60 + 1/2?

What is 22/60 + 1/2?

Let's add

22
60
+
1
2

Step 1

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

60 goes into 2 evenly, so we only need to multiply one term to get a common denominator.

Multiply 1 by 30, and get 30, then we multiply 2 by 30 and get 60.

1/2 times 30

This gives us a new problem that looks like so:

22
60
+
30
60

Step 2

Since our denominators match, we can add the numerators.

22 + 30 = 52

So what's the answer so far?

52
60

Step 3

Can this fraction be reduced?

First, we attempt to divide it by 2...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

52
60
÷ 2 =
26
30

Now, try the same number again.

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

26
30
÷ 2 =
13
15

Now, try the same number again.

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 22/60 + 1/2

22
60
+
1
2
=
13
15
© 2014 Randy Tayler