What is 21/33 + 3/11?

Here's how you add

Step 1

We have to make sure the denominators are equal.

Since 11 is evenly divided by 33, we can multiply just one term to get a common denominator.

Multiply 3 by 3, and get 9, then we multiply 11 by 3 and get 33.

So now our fractions look like this:

Step 2

Since our denominators match, we can add the numerators.

21 + 9 = 30

Now we have an answer.

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing 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 10. So we're done reducing.

And we're done! Here's the final answer to 21/33 + 3/11