math help

What is 25/36 + 3/12?

What is 25/36 + 3/12?

This is how to add

25
36
+
3
12

Step 1

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

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

Multiply 3 by 3, and get 9, then we multiply 12 by 3 and get 36.

3/12 times 3

So now our fractions look like this:

25
36
+
9
36

Step 2

Since our denominators match, we can add the numerators.

25 + 9 = 34

Now we have an answer.

34
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:

34
36
÷ 2 =
17
18

Now, try the same number again.

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...

No good. 19 is larger than 17. So we're done reducing.

Congratulations! Here's your final answer to 25/36 + 3/12

25
36
+
3
12
=
17
18
© 2014 Randy Tayler