math help

What is 5/100 + 8/10?

What is 5/100 + 8/10?

Here's how we add

5
100
+
8
10

Step 1

Now we need to make our denominators match.

100 goes into 10 evenly, so we only need to multiply one term to get a common denominator.

Multiply 8 by 10, and get 80, then we multiply 10 by 10 and get 100.

8/10 times 10

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

5
100
+
80
100

Step 2

Since our denominators match, we can add the numerators.

5 + 80 = 85

Answer:

85
100

Step 3

Now, do we need to simplify this fraction?

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

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

Nope! So now we try the next greatest prime number, 5...

Are both the numerator and the denominator evenly divisible by 5? Yes! So we reduce it:

85
100
÷ 5 =
17
20

Let's try dividing by that again...

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...

No good. 19 is larger than 17. So we're done reducing.

There you have it! Here's the final answer to 5/100 + 8/10

5
100
+
8
10
=
17
20
© 2014 Randy Tayler