What is 5/100 + 2/10?

Here's how you add

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 2 by 10, and get 20, then we multiply 10 by 10 and get 100.

This gives us a new problem that looks like so:

Step 2

Since our denominators match, we can add the numerators.

5 + 20 = 25

So what's the answer so far?

Step 3

Can this fraction be reduced?

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:

Let's try dividing by that again...

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

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 + 2/10