Question

Find the ratio of the following in the simplest form 48min to 2hours 40min.

Answer 1

Hint: To find the ratio we convert the two quantities into the same units using the relation between hours and minutes. (1hr = 60min).
Complete Step-by-Step solution:
Given Data:
Two quantities are 48min and 2hours 40min.
To find the ratio both the quantities should be in the same units.
Let us convert both units into minutes,
2 hours 40min = (2 x 60) + 40 = 120 + 40 = 160 min (1hr = 60min)
Ratio = 48: 160
          = $\dfrac{{48}}{{160}} = \dfrac{3}{{10}}$
          = 3: 10.
Hence, the ratio in simplest form of the given data is 3: 10.
Note – The key in solving such problems is to know the definition of ratio. Ratio indicates the number of times one number contains the other. It can be found by dividing both the numbers. It is expressed by the ‘is-to’ symbol (:).
Simplest form is the form where the two numbers cannot be reduced into other natural numbers by factoring.