math help

What is 100/24 + 5/12?

What is 100/24 + 5/12?

Let's add

100
24
+
5
12

Step 1

Now we need to make our denominators match.

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

Multiply 5 by 2, and get 10, then we multiply 12 by 2 and get 24.

5/12 times 2

This gives us a new problem that looks like so:

100
24
+
10
24

Step 2

Since our denominators match, we can add the numerators.

100 + 10 = 110

So what's the answer so far?

110
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:

110
24
÷ 2 =
55
12

Let's try dividing by that again...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

Nope! So now we try the next greatest prime number, 13...

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

There you have it! Here's the final answer to 100/24 + 5/12

100
24
+
5
12
=
55
12
© 2014 Randy Tayler