math help

What is 25/36 + 1/2?

What is 25/36 + 1/2?

Let's add

25
36
+
1
2

Step 1

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

Since 2 is evenly divided by 36, we can multiply just one term to get a common denominator.

Multiply 1 by 18, and get 18, then we multiply 2 by 18 and get 36.

1/2 times 18

So now our fractions look like this:

25
36
+
18
36

Step 2

Since our denominators match, we can add the numerators.

25 + 18 = 43

So the answer is:

43
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...

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 + 1/2

25
36
+
1
2
=
43
36
© 2014 Randy Tayler