Question

What is the fraction of 20 minutes of 2 hours?

Answer 1

Hint:In order to solve this question first, we convert the units of both quantities into the same unit. Then we assume a variable equal to the fraction of both the numbers which have the same numbers. Then we put them in fraction form and then cancel the common factor from numerator and denominator. Keep the answer in the fraction part only because they are not asking for a decimal answer.


Complete step by step answer:
We are given 20 minutes and 2 hours.
To find,
The fraction of 20 minutes of 2 hours.
To find the fraction of both the quantities we have to divide both of these before dividing the numbers we convert all the numbers into the same unit.
Here we may convert minutes in hours or hours in minutes.
So for finding fractions I am converting hours into minutes.
We know that there are 60 minutes in one hour.
Minutes in two hours are \[60 \times 2 = 120\].
Now we find a fraction of 20 minutes out of 120 minutes.
Let the obtained fraction is \[x\].
\[x = \dfrac{{20}}{{120}}\]
Now canceling the common factor from the equation.
\[x = \dfrac{1}{6}\]
Final answer:
The fraction of 20 minutes and 2 hours is \[x = \dfrac{1}{6}\].

Note: Although this question is very easy because we have to divide this number only. Keep your answer fraction only because they asked the fraction. Students often make mistakes that they directly divide both the terms they will not convert to the same unit and they get the wrong answer.