What is 45/4 + 3/5?

Let's add

Step 1

We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator.

Now we multiply 45 by 5, and get 225, then we multiply 4 by 5 and get 20.

Now for the second term. You multiply 3 by 4, and get 12, then multiply 4 by 5 and get 20.

This gives us a new problem that looks like so:

Step 2

Since our denominators match, we can add the numerators.

225 + 12 = 237

That gives us an answer of

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...

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

Nope! So now we try the next greatest prime number, 11...

Nope! So now we try the next greatest prime number, 13...

Nope! So now we try the next greatest prime number, 17...

Nope! So now we try the next greatest prime number, 19...

Nope! So now we try the next greatest prime number, 23...

No good. 23 is larger than 20. So we're done reducing.

There you have it! Here's the final answer to 45/4 + 3/5