College

What is the percentage of 1 day that is 4 hours?

[tex]\[ \text{Percentage} = \left(\frac{4 \text{ hours}}{1 \text{ day}}\right) \times 100 \][/tex]

Answer :

To find the percentage that 4 hours is of 1 day, we can follow these steps:

1. Understand the total hours in a day: There are 24 hours in one day.

2. Determine the part of the day: We want to find what percentage 4 hours is of a full day.

3. Set up the fraction: We write the fraction for this relationship, which is 4 hours (the part we are interested in) over 24 hours (the total):

[tex]\[
\text{Fraction} = \frac{4}{24}
\][/tex]

4. Convert the fraction to a percentage: To convert a fraction to a percentage, we multiply it by 100. This gives us:

[tex]\[
\text{Percentage} = \left(\frac{4}{24}\right) \times 100
\][/tex]

5. Calculate the result: Perform the multiplication to find the percentage:

[tex]\[
\frac{4}{24} = \frac{1}{6} \approx 0.1667
\][/tex]

[tex]\[
0.1667 \times 100 = 16.67
\][/tex]

Therefore, 4 hours is approximately 16.67% of one day.