What is 21/33 + 7/11?

This is how you add

Step 1

Now we need to make our denominators match.

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

Multiply 7 by 3, and get 21, 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 + 21 = 42

So the answer is:

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...

Nope! So now we try the next greatest prime number, 3...

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

Let's try dividing by that again...

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

Nope! So now we try the next greatest prime number, 13...

No good. 13 is larger than 11. So we're done reducing.

There you have it! Here's the final answer to 21/33 + 7/11