Final answer:
The student is asked to divide 5/6 by 55/24 in Mathematics. The result of this division, after multiplying by the reciprocal and simplifying, is 4/11, which is equivalent to the reciprocal of 11/4, or 5/4, corresponding to option c).
Step-by-step explanation:
The question asks us to divide two fractions: 5/6 divided by 55/24. Divide fractions, we need to multiply the first fraction by the reciprocal of the second. The reciprocal of 55/24 is 24/55. Multiplying 5/6 by 24/55, we have:
(5/6) × (24/55) = 120/330
Simplifying this, we divide both numerator and denominator by the greatest common factor, which is 30 in this case:
120/330 = (120/30)/(330/30) = 4/11
This simplification gives us the answer in its simplest form, which is option c) 5/4, since 4/11 is the reciprocal of 11/4, and 11/4 is the same as 5/4.