Let's add


Step 1Now we need to make our denominators match. 6 goes into 3 evenly, so we only need to multiply one term to get a common denominator. Multiply 2 by 2, and get 4, then we multiply 3 by 2 and get 6. We now have a new problem, that looks like this:


Step 2Since our denominators match, we can add the numerators. 4 + 4 = 8 That gives us the sum, which is


Step 3Now, 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:
Let's try dividing by that again... Nope! So now we try the next greatest prime number, 3... 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 4/6 + 2/3
