math help

What is 9/48 + 11/12?

What is 9/48 + 11/12?

This is how we add

9
48
+
11
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 11 by 4, and get 44, then we multiply 12 by 4 and get 48.

11/12 times 4

So now our fractions look like this:

9
48
+
44
48

Step 2

Since our denominators match, we can add the numerators.

9 + 44 = 53

So the answer is:

53
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...

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. So next you try the next prime number, which is 37...

No good. So next you try the next prime number, which is 41...

No good. So next you try the next prime number, which is 43...

No good. So next you try the next prime number, which is 47...

No good. So next you try the next prime number, which is 53...

No good. 53 is larger than 48. So we're done reducing.

And we're done! Here's the final answer to 9/48 + 11/12

9
48
+
11
12
=
53
48
© 2014 Randy Tayler

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