math help

What is 9/48 + 4/6?

What is 9/48 + 4/6?

Here's how we add

9
48
 +
4
6

Step 1

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

48 goes into 6 evenly, so we only need to multiply one term to get a common denominator.

Multiply 4 by 8, and get 32, then we multiply 6 by 8 and get 48.

4/6 times 8

We now have a new problem, that looks like this:

9
48
 +
32
48

Step 2

Since our denominators match, we can add the numerators.

9 + 32 = 41

Answer:

41
48

Step 3

Now, do we need to simplify this fraction?

First, we attempt to divide 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...

Nope. Try the next prime number, 43...

No good. 43 is larger than 41. So we're done reducing.

Congratulations! Here's your final answer to 9/48 + 4/6

9
48
 +
4
6
 =
41
48
© 2014 Randy Tayler

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