math help

What is 5/100 + 1/5?

What is 5/100 + 1/5?

This is how to add

5
100
+
1
5

Step 1

Now we need to make our denominators match.

100 goes into 5 evenly, so we only need to multiply one term to get a common denominator.

Multiply 1 by 20, and get 20, then we multiply 5 by 20 and get 100.

1/5 times 20

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

5
100
+
20
100

Step 2

Since our denominators match, we can add the numerators.

5 + 20 = 25

That gives us the sum, which is

25
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:

25
100
÷ 5 =
5
20

Let's try dividing by that again...

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

5
20
÷ 5 =
1
4

Let's try dividing by that again...

No good. 5 is larger than 1. So we're done reducing.

There you have it! Here's the final answer to 5/100 + 1/5

5
100
+
1
5
=
1
4
© 2014 Randy Tayler