Final answer:
To solve the division of the fractions 5/6 by 30/60, we simplify 30/60 to 1/2, find the reciprocal, and multiply 5/6 by the reciprocal, resulting in the answer 1 2/3.
Step-by-step explanation:
The question is asking to perform a division of two fractions, specifically, 5/6 divided by 30/60. To divide fractions, you multiply the first fraction by the reciprocal of the second. First, simplify 30/60 to its lowest terms, which is 1/2. The reciprocal of 1/2 is 2/1. Now, multiply 5/6 by 2/1.
5/6 × 2/1 = 10/6 = 1 2/3.
Therefore, 5/6 divided by 30/60 is 1 2/3.