math help

What is 22/60 + 7/12?

What is 22/60 + 7/12?

This is how we add

22
60
+
7
12

Step 1

We have to make sure the denominators are equal.

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

Multiply 7 by 5, and get 35, then we multiply 12 by 5 and get 60.

7/12 times 5

This gives us a new problem that looks like so:

22
60
+
35
60

Step 2

Since our denominators match, we can add the numerators.

22 + 35 = 57

So what's the answer so far?

57
60

Step 3

Can this fraction be reduced?

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

No good. So next you try the next prime number, which is 3...

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

57
60
÷ 3 =
19
20

So far so good... let's try to divide by that number again.

No good. So next you try the next prime number, which is 5...

No good. So next you try the next prime number, which is 7...

No good. So next you try the next prime number, which is 11...

No good. So next you try the next prime number, which is 13...

No good. So next you try the next prime number, which is 17...

No good. So next you try the next prime number, which is 19...

No good. So next you try the next prime number, which is 23...

No good. 23 is larger than 19. So we're done reducing.

And we're done! Here's the final answer to 22/60 + 7/12

22
60
+
7
12
=
19
20
© 2014 Randy Tayler