Answer: 3 and 2/3
Step-by-step explanation: To subtract mixed numbers, first subtract the fractions.
Notice here however that we have 1/3 - 2/3 which will gives us a negative fraction. Since this will cause us a lot of trouble, instead, we can rewrite the first mixed number. We can do this by thinking of 6 and 1/3 as 5 + 1 and 1/3 or as 5 + 4/3 by changing 1 and 1/3 into an improper fraction.
So 6 and 1/3 can be written as 5 and 4/3.
Now we have 5 and 4/3 - 2 and 2/3.
Now, subtract the fractions.
So we have 4/3 - 2/3 which is 2/3. Then subtract the whole numbers. 5 - 2 is 3 and now we have the mixed number 3 and 2/3 which is in lowest terms.
Therefore, 6 and 1/3 - 2 and 2/3 = 3 and 2/3.