Final answer:
To divide mixed numbers, find a common denominator and convert them into improper fractions. Then, multiply the first fraction by the reciprocal of the second fraction to get the result.
Step-by-step explanation:
To divide fractions, we need to find a common denominator for the two fractions. For 11 2/3 and 2 5/6, the least common denominator is 6. Converting the fractions, we have 11 1/2 and 2 5/6.
Now we can divide: 11 1/2 / 2 5/6.
Using the reciprocal of the second fraction, the division becomes: 11 1/2 * 6/2 5 = 11 * 6 / 1 * 5 = 66/5 = 13 1/5.
Therefore, Michael's answer, four two over 17, does not seem reasonable as the correct result is 13 1/5.
Learn more about dividing mixed numbers