math help

What is 25/36 + 10/12?

What is 25/36 + 10/12?

This is how to add

25
36
 +
10
12

Step 1

We have to make sure the denominators are equal.

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

Multiply 10 by 3, and get 30, then we multiply 12 by 3 and get 36.

10/12 times 3

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

25
36
 +
30
36

Step 2

Since our denominators match, we can add the numerators.

25 + 30 = 55

Answer:

55
36

Step 3

Now, do we need to simplify this fraction?

First, we attempt to divide 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. 37 is larger than 36. So we're done reducing.

And we're done! Here's the final answer to 25/36 + 10/12

25
36
 +
10
12
 =
55
36
© 2014 Randy Tayler

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