math help

What is 100/24 + 6/12?

What is 100/24 + 6/12?

This is how you add

100
24
+
6
12

Step 1

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

Since 12 is evenly divided by 24, we can multiply just one term to get a common denominator.

Multiply 6 by 2, and get 12, then we multiply 12 by 2 and get 24.

6/12 times 2

The problem now has new fractions to add:

100
24
+
12
24

Step 2

Since our denominators match, we can add the numerators.

100 + 12 = 112

The sum we get is

112
24

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:

112
24
÷ 2 =
56
12

Now, try the same number again.

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

56
12
÷ 2 =
28
6

Now, try the same number again.

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

28
6
÷ 2 =
14
3

Now, try the same number again.

Nope. Try the next prime number, 3...

Nope. Try the next prime number, 5...

No good. 5 is larger than 3. So we're done reducing.

Congratulations! Here's your final answer to 100/24 + 6/12

100
24
+
6
12
=
14
3
© 2014 Randy Tayler