Final answer:
The correct values of a, b, and c for completing the division of the fractions 1/4 divided by 5/6 would be a=1, b=3, and c=10, giving a final answer of 3/10.
Step-by-step explanation:
The question asks for the values of a, b, and c that would complete the division of fractions: 1/4 divided by 5/6. To divide fractions, you actually multiply by the reciprocal of the divisor. This means you'd take 1/4 and multiply it by the reciprocal of 5/6, which is 6/5.
When you multiply the fractions (1/4) * (6/5), you multiply the numerators (top numbers) and denominators (bottom numbers) separately. Thus, the calculation would be 1 * 6 for the numerator and 4 * 5 for the denominator, which gives you 6/20. This can be simplified to 3/10 by dividing both the numerator and denominator by their greatest common divisor, which is 2.
In this problem, the value of a equals 1, the value of b equals 3, and the value of c equals 10. Hence the fraction would be rewritten as 1/a * b/c, which is 1/1 * 3/10, simplifying back to the answer of 3/10.