math help

What is 100/24 + 2/8?

What is 100/24 + 2/8?

Let's add

100
24
+
2
8

Step 1

We have to make sure the denominators are equal.

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

Multiply 2 by 3, and get 6, then we multiply 8 by 3 and get 24.

2/8 times 3

The problem now has new fractions to add:

100
24
+
6
24

Step 2

Since our denominators match, we can add the numerators.

100 + 6 = 106

The sum we get is

106
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:

106
24
÷ 2 =
53
12

So far so good... let's try to divide by that number again.

No good. So next you try the next prime number, which is 3...

No good. So next you try the next prime number, which is 5...

No good. So next you try the next prime number, which is 7...

No good. So next you try the next prime number, which is 11...

No good. So next you try the next prime number, which is 13...

No good. 13 is larger than 12. So we're done reducing.

And we're done! Here's the final answer to 100/24 + 2/8

100
24
+
2
8
=
53
12
© 2014 Randy Tayler