Final answer:
The simplest form of the fraction that represents the ratio of 42 inches to 5 feet, after converting 5 feet to 60 inches, is 7/10, which is not one of the options.
Step-by-step explanation:
The question asks us to express the ratio of 42 inches to 5 feet as a fraction in simplest form. To compare these two measurements, we first need to convert them to the same unit. In this case, we will convert feet to inches because we know that 1 foot equals 12 inches.
Multiplying 5 feet by 12 inches per foot, we get 5 feet × 12 inches/foot = 60 inches. Now we have both measurements in inches, and we can express the ratio as 42 inches to 60 inches. This simplifies to the fraction 42/60 because both numbers are divisible by 6, which simplifies further to 7/10.
The correct answer is not listed in the options provided, but the simplest form of the fraction that represents the ratio of 42 inches to 5 feet is 7/10.