Final answer:
To divide 4 5/6 by 9 5/6, convert both mixed numbers to improper fractions. Then, multiply the first fraction by the reciprocal of the second fraction.
Step-by-step explanation:
To divide 4 5/6 by 9 5/6, we need to convert both mixed numbers to improper fractions.
4 5/6 as an improper fraction is (4 * 6 + 5) / 6 = 29/6.
9 5/6 as an improper fraction is (9 * 6 + 5) / 6 = 59/6.
Now, we can divide the fractions by multiplying the first fraction by the reciprocal of the second fraction:
(29/6) / (59/6) = (29/6) * (6/59) = (29 * 6) / (6 * 59) = 174/354.
The simplified answer is 87/177.