What is 10/3 + 2/4?

Here's how you 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 10 by 4, and get 40, then we multiply 3 by 4 and get 12.

Now for the second term. You multiply 2 by 3, and get 6, then multiply 3 by 4 and get 12.

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

Step 2

Since our denominators match, we can add the numerators.

40 + 6 = 46

Answer:

Step 3

Now, do we need to simplify this fraction?

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

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

Now, try the same number again.

Nope. Try the next prime number, 3...

Nope. Try the next prime number, 5...

Nope. Try the next prime number, 7...

No good. 7 is larger than 6. So we're done reducing.

Congratulations! Here's your final answer to 10/3 + 2/4