What is 14/3 + 21/63?

This is how we add

Step 1

We have to make sure the denominators are equal.

63 goes into 3 evenly, so we only need to multiply one term to get a common denominator.

Multiply 14 by 21, and get 294, then we multiply 3 by 21 and get 63.

This gives us a new problem that looks like so:

Step 2

Since our denominators match, we can add the numerators.

294 + 21 = 315

So what's the answer so far?

Step 3

Can this fraction be reduced?

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.

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...

Are both the numerator and the denominator evenly divisible by 7? Yes! So we reduce it:

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

No good. 7 is larger than 5. So we're done reducing.

And we're done! Here's the final answer to 14/3 + 21/63