math help

What is 9/48 + 7/12?

What is 9/48 + 7/12?

This is how to add

9
48
+
7
12

Step 1

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

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

Multiply 7 by 4, and get 28, then we multiply 12 by 4 and get 48.

7/12 times 4

So now our fractions look like this:

9
48
+
28
48

Step 2

Since our denominators match, we can add the numerators.

9 + 28 = 37

Now we have an answer.

37
48

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

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

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...

Nope. Try the next prime number, 23...

Nope. Try the next prime number, 29...

Nope. Try the next prime number, 31...

Nope. Try the next prime number, 37...

Nope. Try the next prime number, 41...

No good. 41 is larger than 37. So we're done reducing.

Congratulations! Here's your final answer to 9/48 + 7/12

9
48
+
7
12
=
37
48
© 2014 Randy Tayler