math help

What is 9/48 + 5/12?

What is 9/48 + 5/12?

Here's how we add

9
48
+
5
12

Step 1

We have to make sure the denominators are equal.

Since 12 is evenly divided by 48, we can multiply just one term to get a common denominator.

Multiply 5 by 4, and get 20, then we multiply 12 by 4 and get 48.

5/12 times 4

The problem now has new fractions to add:

9
48
+
20
48

Step 2

Since our denominators match, we can add the numerators.

9 + 20 = 29

This yields the answer

29
48

Step 3

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

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

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

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. So next you try the next prime number, which is 29...

No good. So next you try the next prime number, which is 31...

No good. 31 is larger than 29. So we're done reducing.

And we're done! Here's the final answer to 9/48 + 5/12

9
48
+
5
12
=
29
48
© 2014 Randy Tayler