Final answer:
To determine the exact value of the expression, convert the mixed numbers to improper fractions, subtract the second number from the first number, and then divide the result by the third number. Simplify the fraction to get the final answer: 2 3/8.
Step-by-step explanation:
To determine the exact value of (4 5/6 - 1 2/3) divided by 1 1/3, we need to convert the mixed numbers into improper fractions first. The first mixed number becomes 29/6, the second mixed number becomes 5/3, and the third mixed number becomes 4/3. Now, we can subtract the second number from the first number: 29/6 - 5/3 = (29/6) - (10/6) = 19/6. Then, we can divide the result by the third number: (19/6) ÷ (4/3) = (19/6) × (3/4) = 57/24 = 2 9/24. Lastly, we simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 3. So the final answer is 2 3/8.