What is 4/40 + 9/10?

Here's how to add

Step 1

Now we need to make our denominators match.

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

Multiply 9 by 4, and get 36, then we multiply 10 by 4 and get 40.

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

Step 2

Since our denominators match, we can add the numerators.

4 + 36 = 40

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...

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...

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

There you have it! Here's the final answer to 4/40 + 9/10