math help

What is 25/36 + 7/12?

What is 25/36 + 7/12?

This is how we add

25
36
+
7
12

Step 1

We have to make sure the denominators are equal.

Since 12 is evenly divided by 36, we can multiply just one term to get a common denominator.

Multiply 7 by 3, and get 21, then we multiply 12 by 3 and get 36.

7/12 times 3

So now our fractions look like this:

25
36
+
21
36

Step 2

Since our denominators match, we can add the numerators.

25 + 21 = 46

So the answer is:

46
36

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...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

46
36
÷ 2 =
23
18

So far so good... let's try to divide by that number again.

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. 19 is larger than 18. So we're done reducing.

And we're done! Here's the final answer to 25/36 + 7/12

25
36
+
7
12
=
23
18
© 2014 Randy Tayler