math help

What is 100/24 + 6/8?

What is 100/24 + 6/8?

Here's how you add

100
24
+
6
8

Step 1

Now we need to make our denominators match.

Since 8 is evenly divided by 24, we can multiply just one term to get a common denominator.

Multiply 6 by 3, and get 18, then we multiply 8 by 3 and get 24.

6/8 times 3

The problem now has new fractions to add:

100
24
+
18
24

Step 2

Since our denominators match, we can add the numerators.

100 + 18 = 118

This yields the answer

118
24

Step 3

The last step is to reduce the fraction if we can.

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:

118
24
÷ 2 =
59
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 + 6/8

100
24
+
6
8
=
59
12
© 2014 Randy Tayler