Step 1
Now 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: 4/6+4/6
Step 2
Since our denominators match, we can add the numerators.
4 + 4 = 8
That gives us the sum, which is 8/6
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:
8/6÷ 2 = 4/3
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 2/3 + 4/6