math help

What is 100/24 + 2/3?

What is 100/24 + 2/3?

This is how we add

100
24
+
2
3

Step 1

Now we need to make our denominators match.

24 goes into 3 evenly, so we only need to multiply one term to get a common denominator.

Multiply 2 by 8, and get 16, then we multiply 3 by 8 and get 24.

2/3 times 8

This gives us a new problem that looks like so:

100
24
+
16
24

Step 2

Since our denominators match, we can add the numerators.

100 + 16 = 116

That gives us an answer of

116
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:

116
24
÷ 2 =
58
12

Let's try dividing by that again...

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

58
12
÷ 2 =
29
6

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...

No good. 7 is larger than 6. So we're done reducing.

There you have it! Here's the final answer to 100/24 + 2/3

100
24
+
2
3
=
29
6
© 2014 Randy Tayler