What is 45/3 + 3/10?

Here's how you 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 10, and get 450, then we multiply 3 by 10 and get 30.

Now for the second term. You multiply 3 by 3, and get 9, then multiply 3 by 10 and get 30.

This gives us a new problem that looks like so:

Step 2

Since our denominators match, we can add the numerators.

450 + 9 = 459

So what's the answer so far?

Step 3

Can this fraction be reduced?

First, we attempt to divide it by 2...

Nope. Try the next prime number, 3...

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

Now, try the same number again.

Nope. Try the next prime number, 5...

Nope. Try the next prime number, 7...

Nope. Try the next prime number, 11...

No good. 11 is larger than 10. So we're done reducing.

Congratulations! Here's your final answer to 45/3 + 3/10