Answer: 1/3
Step-by-step explanation: To subtract mixed numbers, first subtract the fractions.
Notice here however that we have 1/6 - 5/6
which will give us a negative fraction.
Since this will cause us a lot of trouble, instead,
let's rewrite the first mixed number.
We can do this by thinking of 3 and 1/6 as 2 + 1 and 1/6 or 2 + 7/6
by changing 1 and 1/6 into an improper fraction.
So 3 and 1/6 can be written as 2 and 7/6.
So we have 2 and 7/6 - 2 and 5/6.
Now, subtract the fractions.
So we have 7/6 - 5/6 which is 2/6.
Then subtract the whole numbers.
2 - 2 is 0.
However, we don't need to include 0 in our answer.
We can write our answer as 2/6.
However, 2/6 is not in lowest terms.
So divide the numerator and denominator by 2 to get 1/3.
So 3 and 1/6 - 2 and 5/6 is 1/3.
