math help

What is 100/24 + 1/12?

What is 100/24 + 1/12?

Here's how we add

100
24
+
1
12

Step 1

We have to make sure the denominators are equal.

24 goes into 12 evenly, so we only need to multiply one term to get a common denominator.

Multiply 1 by 2, and get 2, then we multiply 12 by 2 and get 24.

1/12 times 2

This gives us a new problem that looks like so:

100
24
+
2
24

Step 2

Since our denominators match, we can add the numerators.

100 + 2 = 102

That gives us an answer of

102
24

Step 3

Can this fraction be reduced?

First, we attempt to divide it by 2...

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

102
24
÷ 2 =
51
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...

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

51
12
÷ 3 =
17
4

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 5...

No good. 5 is larger than 4. So we're done reducing.

And we're done! Here's the final answer to 100/24 + 1/12

100
24
+
1
12
=
17
4
© 2014 Randy Tayler