math help

What is 100/72 + 6/12?

What is 100/72 + 6/12?

Let's add

100
72
+
6
12

Step 1

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

Since 12 is evenly divided by 72, we can multiply just one term to get a common denominator.

Multiply 6 by 6, and get 36, then we multiply 12 by 6 and get 72.

6/12 times 6

The problem now has new fractions to add:

100
72
+
36
72

Step 2

Since our denominators match, we can add the numerators.

100 + 36 = 136

The sum we get is

136
72

Step 3

The last step is to reduce the fraction if we can.

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:

136
72
÷ 2 =
68
36

Now, try the same number again.

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

68
36
÷ 2 =
34
18

Now, try the same number again.

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

34
18
÷ 2 =
17
9

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...

No good. 11 is larger than 9. So we're done reducing.

Congratulations! Here's your final answer to 100/72 + 6/12

100
72
+
6
12
=
17
9
© 2014 Randy Tayler