What is 45/3 + 4/7?

This is how we add

Step 1

Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term.

So, we multiply 45 by 7, and get 315, then we multiply 3 by 7 and get 21.

Now for the second term. You multiply 4 by 3, and get 12, then multiply 3 by 7 and get 21.

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

Step 2

Since our denominators match, we can add the numerators.

315 + 12 = 327

Answer:

Step 3

Now, do we need to simplify this fraction?

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

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

Are both the numerator and the denominator evenly divisible by 3? 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 5...

No good. So next you try the next prime number, which is 7...

No good. So next you try the next prime number, which is 11...

No good. 11 is larger than 7. So we're done reducing.

And we're done! Here's the final answer to 45/3 + 4/7