What is 100/100 + 2/5?

Here's how we add

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 2 by 20, and get 40, then we multiply 5 by 20 and get 100.

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

Step 2

Since our denominators match, we can add the numerators.

100 + 40 = 140

That gives us the sum, which is

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:

Let's try dividing by that again...

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

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...

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

Let's try dividing by that again...

Nope! So now we try the next greatest prime number, 7...

No good. 7 is larger than 5. So we're done reducing.

There you have it! Here's the final answer to 100/100 + 2/5