math help

What is 9/100 + 6/8?

What is 9/100 + 6/8?

Here's how we add

9
100
+
6
8

Step 1

Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term.

So, we multiply 9 by 8, and get 72, then we multiply 100 by 8 and get 800.

9/100 times 8

Now for the second term. You multiply 6 by 100, and get 600, then multiply 100 by 8 and get 800.

6/8 times 100

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

72
800
+
600
800

Step 2

Since our denominators match, we can add the numerators.

72 + 600 = 672

Answer:

672
800

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:

672
800
÷ 2 =
336
400

Let's try dividing by that again...

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

336
400
÷ 2 =
168
200

Let's try dividing by that again...

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

168
200
÷ 2 =
84
100

Let's try dividing by that again...

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

84
100
÷ 2 =
42
50

Let's try dividing by that again...

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

42
50
÷ 2 =
21
25

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...

Nope! So now we try the next greatest prime number, 17...

Nope! So now we try the next greatest prime number, 19...

Nope! So now we try the next greatest prime number, 23...

No good. 23 is larger than 21. So we're done reducing.

There you have it! Here's the final answer to 9/100 + 6/8

9
100
+
6
8
=
21
25
© 2014 Randy Tayler