math help

What is 100/24 + 2/6?

What is 100/24 + 2/6?

This is how to add

100
24
+
2
6

Step 1

Now we need to make our denominators match.

Since 6 is evenly divided by 24, we can multiply just one term to get a common denominator.

Multiply 2 by 4, and get 8, then we multiply 6 by 4 and get 24.

2/6 times 4

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

Now we have an answer.

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

Let's try dividing by that again...

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

54
12
÷ 2 =
27
6

Let's try dividing by that again...

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

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

27
6
÷ 3 =
9
2

Let's try dividing by that again...

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

There you have it! Here's the final answer to 100/24 + 2/6

100
24
+
2
6
=
9
2
© 2014 Randy Tayler