Question

\[7{\text{ }}hours\] = ........fraction of a day.

Answer 1

Hint: Fraction basically describes some (one or many) parts of the whole or in other words we can also say that fraction simply means, from the whole when it is divided into some parts then that part to whole is known as fraction. If I have \[10\] rupees, I would have given \[7\] to my sister and \[3\] to my brother. Then my sister is having \[\dfrac{7}{{10}}\] fraction and my brother is having \[\dfrac{3}{{10}}\]fraction.

Complete step-by-step answer:
We are given that \[7{\text{ }}hours{\text{ }} = {\text{ }}?\]
Fraction of a day which simply means what fraction of a day is equal to \[7\] hours. As we know \[1\] day = \[24\] hours. Then we can say \[1\] hour \[ = \dfrac{1}{{24}}\]day. It means 1 hour is equal to \[\dfrac{1}{{24}}\]fraction of the day and the question is \[7\] hours is equal to what fraction of the day.
Then \[1\] hour \[ = \dfrac{1}{{24}}\]day
\[ \Rightarrow \] 7 hours \[ = 7 \times \dfrac{1}{{24}}day\]
\[ \Rightarrow \]\[7\]hours \[ = \dfrac{7}{{24}}\] day
Fractions of whole = 1 (total)

\[7\]hours is equal to \[\dfrac{7}{{24}}\]fraction of the day and rest of the fraction is \[\dfrac{{17}}{{24}}\] which on combining \[\dfrac{7}{{24}}\]& \[\dfrac{{17}}{{24}}\]gives \[\dfrac{{24}}{{24}}\]= 1

Note: Fractions of 3 types are proper fraction, mixed fraction and improper fraction. Mixed fraction is converted to fraction as \[3\dfrac{1}{2}\] means \[\dfrac{{3 \times 2 + 1}}{2}\] = \[\dfrac{7}{2}\]. Proper fraction means when the numerator is smaller than the denominator for example \[\dfrac{7}{2}\] & \[\dfrac{2}{{11}}\]etc. Improper fraction means when numerator is greater than or equal to the numerator for example \[\dfrac{5}{2}\] & \[\dfrac{8}{5}\]. The reciprocal of a fraction is another fraction with the numerator and denominator exchanged. The product of a fraction and its reciprocal is 1, hence the reciprocal is the multiplicative inverse of a fraction.