math help

What is 25/36 + 6/12?

What is 25/36 + 6/12?

This is how you add

25
36
 +
6
12

Step 1

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

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

Multiply 6 by 3, and get 18, then we multiply 12 by 3 and get 36.

6/12 times 3

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

25
36
 +
18
36

Step 2

Since our denominators match, we can add the numerators.

25 + 18 = 43

That gives us the sum, which is

43
36

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...

No good. 37 is larger than 36. So we're done reducing.

Congratulations! Here's your final answer to 25/36 + 6/12

25
36
 +
6
12
 =
43
36
© 2014 Randy Tayler

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