What is the ratio of 4 days to 36 hours? (Note: 1 day = 24 hours)
a. 12/3 or 12:3 or 12 is to 3
b. 4/3 or 4:3 or 4 is to 3
c. 8/3 or 8:3 or 8 is to 3
The correct answer and explanation is:
The correct answer is b. 4/3 or 4:3 or 4 is to 3.
Explanation:
We are given that 1 day is equal to 24 hours, and we need to determine the ratio of 4 days to 36 hours.
- Convert 4 days into hours:
Since 1 day = 24 hours,
4 days = 4 × 24 = 96 hours. - Write the ratio:
Now, we need the ratio of 4 days to 36 hours, which is the same as the ratio of 96 hours to 36 hours. - Simplify the ratio:
The ratio of 96 hours to 36 hours is: 9636\frac{96}{36} Dividing both the numerator and the denominator by their greatest common divisor, which is 12, we get: 96÷1236÷12=83\frac{96 \div 12}{36 \div 12} = \frac{8}{3}
So, the simplified ratio is 8:3.
In this context, we can express the ratio in the following forms:
- 8/3 (fraction form)
- 8:3 (ratio form)
- 8 is to 3 (words form)
Thus, none of the provided options exactly matches the ratio 8:3. However, if you’re asking to match the form closest to the correct answer, c. 8/3 or 8:3 or 8 is to 3 is the correct choice.