What is 4/40 + 5/10?

This is how we add

Step 1

We have to make sure the denominators are equal.

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

Multiply 5 by 4, and get 20, 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 + 20 = 24

Answer:

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:

So far so good... let's try to divide by that number again.

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

So far so good... let's try to divide by that number again.

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

So far so good... let's try to divide by that number again.

No good. So next you try the next prime number, which is 3...

No good. So next you try the next prime number, which is 5...

No good. 5 is larger than 3. So we're done reducing.

And we're done! Here's the final answer to 4/40 + 5/10