How many minutes are in 2/5 of a day
The Correct Answer and Explanation is:
To find how many minutes are in ( \frac{2}{5} ) of a day, we can break down the problem into several steps.
Step 1: Understand how many minutes are in a day.
A full day consists of 24 hours. To calculate how many minutes are in one day, we use the fact that each hour contains 60 minutes. So, the total number of minutes in one day is:
[
24 \, \text{hours} \times 60 \, \text{minutes/hour} = 1440 \, \text{minutes/day}
]
Step 2: Find ( \frac{2}{5} ) of a day.
Now that we know there are 1440 minutes in a full day, we need to find ( \frac{2}{5} ) of this amount. To do this, multiply the total minutes in a day by ( \frac{2}{5} ):
[
\frac{2}{5} \times 1440 = \frac{2 \times 1440}{5} = \frac{2880}{5} = 576 \, \text{minutes}
]
Final Answer:
There are 576 minutes in ( \frac{2}{5} ) of a day.
Explanation:
This problem involves a simple fraction of time, where we first convert the whole day into minutes and then calculate the fraction of those minutes. By understanding that one day equals 1440 minutes, we can multiply that total by the fraction ( \frac{2}{5} ) to obtain the correct number of minutes.
This approach is a typical example of how to handle fractions of larger quantities like time, distance, or other measurements. In many real-life scenarios, such as planning or allocating time, breaking down larger units into smaller parts helps with efficiency and accuracy.