math help

What is 100/24 + 3/4?

What is 100/24 + 3/4?

Here's how you add

100
24
+
3
4

Step 1

We have to make sure the denominators are equal.

24 goes into 4 evenly, so we only need to multiply one term to get a common denominator.

Multiply 3 by 6, and get 18, then we multiply 4 by 6 and get 24.

3/4 times 6

We now have a new problem, that looks like this:

100
24
+
18
24

Step 2

Since our denominators match, we can add the numerators.

100 + 18 = 118

Answer:

118
24

Step 3

Now, do we need to simplify this fraction?

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

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

118
24
÷ 2 =
59
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 + 3/4

100
24
+
3
4
=
59
12
© 2014 Randy Tayler