Question

7 hours = ____________ a fraction of a day.

Answer 1

Hint: This problem just deals with basic fractions in mathematics. We should be able to write the mathematical expressions from the given information. Here we are asked to find out the fraction of a day for 7 hours. One day has 24 hours. Hence 24 hours makes one day.

Complete step-by-step answer:
We have to find how much of a day is this 7 hours.
That is, we have to find out what fraction of one day makes the 7 hours.
No. of hours in day = 24 hours.
No. of days in 24 hours = 1 day.
 $ \Rightarrow $ 24 hours = 1 day
 $ \therefore $ 1 hour = $ \dfrac{1}{{24}} $ day
So 7 hours makes how many days, is given below:
 $ \Rightarrow $ 7 hours = $ 7 \times \dfrac{1}{{24}} $ day
As we are calculating for 7 hours, hence multiplying the fraction $ \dfrac{1}{{24}} $ day with 7, in order to get the value of fraction of a day for 7 hours, as given below:
 $ \Rightarrow $ 7 hours = $ \dfrac{7}{{24}} $ day.
 $ \therefore $ 7 hours make a fraction of $ \dfrac{7}{{24}} $ a day.

Final Answer: 7 hours = $ \dfrac{7}{{24}} $ fraction of a day.

Note:
Please note that we can solve this in another way which is slightly different from the method solved here. We know that 24 hours make a day, hence 12 hours makes half a day which is $ \dfrac{1}{2} $ day, and hence 6 hours makes quarter of a day which is $ \dfrac{1}{4} $ day. Therefore 1 hour makes $ \dfrac{1}{{24}} $ day. So in order to find what fraction of a day makes 7 hours is nothing but adding 1 hour to 6 hours which given by the sum of $ \dfrac{1}{4} $ day and $ \dfrac{1}{{24}} $ day, which is equal to $ \dfrac{1}{4} + \dfrac{1}{{24}} = \dfrac{7}{{24}} $ day, which is the same as the final answer obtained.