What is 10/3 + 11/12?

Let's add

Step 1

Now we need to make our denominators match.

Since 3 is evenly divided by 12, we can multiply just one term to get a common denominator.

Multiply 10 by 4, and get 40, then we multiply 3 by 4 and get 12.

So now our fractions look like this:

Step 2

Since our denominators match, we can add the numerators.

40 + 11 = 51

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...

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...

No good. 5 is larger than 4. So we're done reducing.

There you have it! Here's the final answer to 10/3 + 11/12