What is 45/4 + 5/7?

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 7, and get 315, then we multiply 4 by 7 and get 28.

Now for the second term. You multiply 5 by 4, and get 20, then multiply 4 by 7 and get 28.

This gives us a new problem that looks like so:

Step 2

Since our denominators match, we can add the numerators.

315 + 20 = 335

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...

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

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

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

Nope. Try the next prime number, 13...

Nope. Try the next prime number, 17...

Nope. Try the next prime number, 19...

Nope. Try the next prime number, 23...

Nope. Try the next prime number, 29...

No good. 29 is larger than 28. So we're done reducing.

Congratulations! Here's your final answer to 45/4 + 5/7