Question & Answer

Find the ratio of the following: 30 minutes to 1.5 hours

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Hint: Ratio is defined for the quantities with the same units. Convert hours into minutes using the conversion factor of 60 minutes per hour. Then obtain the ratio of the given numbers.

Complete step-by-step answer:
A ratio is a quantitative relation between two amounts showing the number of times one value contains or is contained within the other. It is a dimensionless quantity and does not have any units.
In this problem, we need to find the ratio of the quantity, 30 minutes, to the quantity, 1.5 hours.
Before taking the ratio, we need to express the numbers in the same units. Hence, we convert the 1.5 hours into minutes.
We know that 1 hour is equivalent to 60 minutes.
1 hour = 60 minutes
Then, 1.5 hours is equal to 1.5 multiplied with 60.
1.5 hours = \[1.5 \times 60\]
Simplifying, we have:
1.5 hours = 90 minutes
Now, we can find the ratio between 30 and 90, since they are in the same units.
Ratio = \[\dfrac{{30\min }}{{90\min }}\]
Canceling the common factors in the numerator and denominator, we get as follows:
Ratio = \[\dfrac{1}{3}\]
Hence, the required answer is \[\dfrac{1}{3}\].

Note: Do not take the ratio of the numbers whose quantities are different. You might directly take the ratio 30 to 1.5 which is 20 which is a wrong answer. The key concept is that ratio is a unitless quantity .