Question

Find the ratio of the following,
30 minutes to 1.5 minutes

Answer 1

Hint: A ratio is the comparison of two quantities. It is the quantitative relation between two amounts showing the number of times one value contains or is contained with the other. The ratio can be calculated as $\dfrac{\text{numerator}}{\text{denominator}}$ . The ratio can also be expressed as a numerator : denominator.

Complete step-by-step answer:
We need to find the ratio of two numbers.
First, we need to check the units of the terms. It seems that the units are the same, that is minutes.
Now, let's understand by taking a ratio.
The quantitative relation between two amounts showing the number of times one value contains or is contained with the other.
We have to find the ratio of 30 minutes to 1.5 minutes.
The ratio of 30 minutes to 1.5 minutes is given by $\dfrac{30}{1.5}$ .
Removing the decimal point from the denominator, we need to multiply the denominator and numerator by 10.
We get,
$\dfrac{30}{1.5}\times \dfrac{10}{10}=\dfrac{300}{15}$ .
Solving this further we get,
The ratio of 30 minutes to 1.5 minutes is $\dfrac{300}{15}=\dfrac{20}{1}$ .
The ratio can also be written as a numerator : denominator.
Writing in this form we get,
The ratio of 30 minutes to 1.5 minutes is 20 : 1.


Note: We always need to check that we can only take the ratio of two numbers only when the units are the same. Luckily, in this case, all the units are in minutes, so we don’t need to convert the units. Also, the ratio of 30 minutes to 1.5 minutes says that the numerator is 30 minutes and the denominator is 1.5 minutes.