Answer: The quotient of 3 1/3 and 1 5/6 is 60/33, which can be simplified to 20/11.
Explanation:
To divide 3 1/3 by 1 5/6, we first need to convert the mixed numbers to improper fractions:
3 1/3 = (3 x 3 + 1) / 3 = 10/3
1 5/6 = (1 x 6 + 5) / 6 = 11/6
Now, we can divide the fractions by multiplying the first fraction by the reciprocal of the second fraction:
(10/3) ÷ (11/6) = (10/3) x (6/11)
Multiplying the numerators and denominators, we get:
(10 x 6) / (3 x 11) = 60/33
The quotient of 3 1/3 and 1 5/6 is therefore 60/33, which can be simplified to 20/11.