math help

What is 22/60 + 2/10?

What is 22/60 + 2/10?

This is how we add

22
60
+
2
10

Step 1

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

Since 10 is evenly divided by 60, we can multiply just one term to get a common denominator.

Multiply 2 by 6, and get 12, then we multiply 10 by 6 and get 60.

2/10 times 6

The problem now has new fractions to add:

22
60
+
12
60

Step 2

Since our denominators match, we can add the numerators.

22 + 12 = 34

The sum we get is

34
60

Step 3

The last step is to reduce the fraction if we can.

To find out, we try dividing it by 2...

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

34
60
÷ 2 =
17
30

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...

Nope. Try the next prime number, 19...

No good. 19 is larger than 17. So we're done reducing.

Congratulations! Here's your final answer to 22/60 + 2/10

22
60
+
2
10
=
17
30
© 2014 Randy Tayler