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Chapter 8: Problem 13

Complete. 645 min = _________hr

Short Answer

Expert verified
10.75 hours.

Step by step solution

01

Understand the conversion factor

To convert minutes to hours, know that 1 hour is equal to 60 minutes.
02

Set up the conversion

To convert 645 minutes to hours, divide 645 by 60 (since there are 60 minutes in an hour).
03

Perform the division

Calculate \(\frac{645}{60}\). This division gives the number of hours.
04

Write the solution

The calculation \(\frac{645}{60}\) equals 10.75. Therefore, 645 minutes is equal to 10.75 hours.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

minutes to hours
When dealing with time, it's crucial to know how to convert between different units. One common conversion is changing minutes to hours. This is useful in various real-life scenarios, such as figuring out travel times, work hours, or even just understanding a movie's length.
To perform this conversion, remember the key fact: 1 hour is equal to 60 minutes. This means if you have a certain number of minutes, you can convert them to hours by dividing by 60.
Knowing this conversion factor helps in breaking down time into smaller or more understandable pieces.
division
Division is a fundamental mathematical operation that helps in breaking down quantities into equal parts. In the context of converting minutes to hours, division plays a central role.
To convert 645 minutes into hours, you divide 645 by 60. This means you are trying to find out how many complete 60-minute segments fit into 645 minutes.
Performing the division: \[\begin{equation} \frac{645}{60} = 10.75 \end{equation}\]
In this example, 645 minutes divided by 60 minutes results in 10.75 hours. The number before the decimal (10) indicates full hours, and the decimal part (.75) represents the remaining fraction of an hour.
mathematical conversion
Mathematical conversion often involves using specific relationships between different units to change one unit to another.
For time conversion, understanding the relationship between hours and minutes is essential. The conversion factor being 60 minutes per hour allows us to perform these conversions.
Let's summarize the steps to convert 645 minutes to hours:
  • Know the conversion factor: 1 hour = 60 minutes.
  • Set up the division: Divide the total minutes (645) by 60.
  • Calculate: \[\begin{equation} \frac{645}{60} = 10.75 \end{equation}\]
  • Interpret the result: 645 minutes is equal to 10.75 hours.

By following these steps, you can convert any number of minutes into hours easily and accurately.

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