Answer

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**Hint**: Here in this question, we have to express 9 hours as percent compared to 4 days. To solve this first, find how many hours are there in 4 days and remember 1 day is having 24 hours. Write the fraction put numerator has 9 hours and denominator has total hours which 4 days have and next multiply the resultant value of fraction to the 100 we get the required solution.

**Complete step by step solution:**

Now consider the question

Express 9 hours as percent of 4 days.

As we know,

1 day = 24 hours

Therefore, 4 days = \[4 \times 24 = 96\] hours.

So, we have to find, what percent of 96 is 9

Assume, if \[x\% \] of 96 is equal to 9, then we have to find the percentage value \[x\]

\[ \Rightarrow \dfrac{x}{{100}} \times 96 = 9\]

On cross multiplication, we have

\[ \Rightarrow x \times 96 = 9 \times 100\]

First, we simplify the term.

\[ \Rightarrow 96x = 900\]

Multiply both side by 96, then

\[ \Rightarrow x = \dfrac{{900}}{{96}}\]

Divide both numerator and denominator by 12, we have

\[ \Rightarrow x = \dfrac{{75}}{8}\]

Or

\[ \Rightarrow x = 9.375\]

Hence, 9 hours is the \[\dfrac{{75}}{8}\% \] or \[9.375\% \] of 4 days.

**So, the correct answer is “ \[9.375\% \] ”.**

**Note**: Here the question is related to the percentage. By using the specific methods and rules we

can convert the number. As we know that the percentage formula \[ = \left( {\dfrac{{Value}}{{Total\,value}}} \right) \times 100\] . Using the simple arithmetic operation i.e., multiplication and division to get the required solution.

The above question can also solve by using a percentage formula

9 hours as a percent of 4 days

4 days = 96 hours

\[ \Rightarrow \left( {\dfrac{9}{{96}}} \right) \times 100 = \dfrac{{900}}{{96}} = \dfrac{{75}}{8}\% \]

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