math help

What is 100/24 + 4/8?

What is 100/24 + 4/8?

This is how we add

100
24
+
4
8

Step 1

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

Since 8 is evenly divided by 24, we can multiply just one term to get a common denominator.

Multiply 4 by 3, and get 12, then we multiply 8 by 3 and get 24.

4/8 times 3

So now our fractions look like this:

100
24
+
12
24

Step 2

Since our denominators match, we can add the numerators.

100 + 12 = 112

So the answer is:

112
24

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:

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 + 4/8

100
24
+
4
8
=
14
3
© 2014 Randy Tayler