math help

What is 100/24 + 1/3?

What is 100/24 + 1/3?

This is how you add

100
24
+
1
3

Step 1

We have to make sure the denominators are equal.

Since 3 is evenly divided by 24, we can multiply just one term to get a common denominator.

Multiply 1 by 8, and get 8, then we multiply 3 by 8 and get 24.

1/3 times 8

So now our fractions look like this:

100
24
+
8
24

Step 2

Since our denominators match, we can add the numerators.

100 + 8 = 108

So the answer is:

108
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:

108
24
÷ 2 =
54
12

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

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

54
12
÷ 2 =
27
6

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...

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

27
6
÷ 3 =
9
2

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

No good. 3 is larger than 2. So we're done reducing.

And we're done! Here's the final answer to 100/24 + 1/3

100
24
+
1
3
=
9
2
© 2014 Randy Tayler