math help

What is 22/60 + 5/10?

What is 22/60 + 5/10?

This is how to add

22
60
+
5
10

Step 1

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

60 goes into 10 evenly, so we only need to multiply one term to get a common denominator.

Multiply 5 by 6, and get 30, then we multiply 10 by 6 and get 60.

5/10 times 6

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

That gives us an answer of

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 + 5/10

22
60
+
5
10
=
13
15
© 2014 Randy Tayler