Which Expression Converts 100 Inches Per Minute To Feet Per Minute?A. 100 Inches 1 Minute × 60 Minutes 1 Hour \frac{100 \text{ Inches}}{1 \text{ Minute}} \times \frac{60 \text{ Minutes}}{1 \text{ Hour}} 1 Minute 100 Inches ​ × 1 Hour 60 Minutes ​ B. $\frac{100 \text{ Inches}}{1 \text{ Minute}} \times \frac{1 \text{

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Introduction

When working with different units of measurement, it's essential to understand how to convert between them. In this article, we'll focus on converting inches per minute to feet per minute. This conversion is crucial in various fields, such as engineering, physics, and everyday applications. We'll explore the correct expression to use for this conversion and provide a step-by-step guide to help you understand the process.

Understanding the Units

Before we dive into the conversion, let's understand the units involved:

  • Inches (in): A unit of length in the imperial system, equal to 1/12 of a foot.
  • Minutes (min): A unit of time, equal to 1/60 of an hour.
  • Feet (ft): A unit of length in the imperial system, equal to 12 inches.

The Conversion Expression

To convert inches per minute to feet per minute, we need to use the correct expression. Let's examine the options provided:

A. 100 inches1 minute×60 minutes1 hour\frac{100 \text{ inches}}{1 \text{ minute}} \times \frac{60 \text{ minutes}}{1 \text{ hour}}

B. 100 inches1 minute×1 hour60 minutes\frac{100 \text{ inches}}{1 \text{ minute}} \times \frac{1 \text{ hour}}{60 \text{ minutes}}

Analyzing Option A

Option A involves multiplying the number of inches per minute by the number of minutes in an hour. However, this expression is incorrect because it doesn't account for the conversion from inches to feet.

Analyzing Option B

Option B involves multiplying the number of inches per minute by the number of hours in a minute. However, this expression is also incorrect because it doesn't account for the conversion from inches to feet.

The Correct Expression

To convert inches per minute to feet per minute, we need to use the following expression:

100 inches1 minute×1 foot12 inches\frac{100 \text{ inches}}{1 \text{ minute}} \times \frac{1 \text{ foot}}{12 \text{ inches}}

This expression involves multiplying the number of inches per minute by the conversion factor from inches to feet.

Step-by-Step Guide

Now that we have the correct expression, let's walk through the conversion step by step:

  1. Identify the number of inches per minute: In this case, we have 100 inches per minute.
  2. Convert inches to feet: We'll use the conversion factor of 1 foot = 12 inches to convert the number of inches to feet.
  3. Multiply the number of inches per minute by the conversion factor: We'll multiply 100 inches per minute by 1/12 to get the number of feet per minute.

Calculating the Result

Let's calculate the result using the correct expression:

100 inches1 minute×1 foot12 inches=10012 feet per minute\frac{100 \text{ inches}}{1 \text{ minute}} \times \frac{1 \text{ foot}}{12 \text{ inches}} = \frac{100}{12} \text{ feet per minute}

Simplifying the Result

To simplify the result, we can divide 100 by 12 to get:

8.33 feet per minute8.33 \text{ feet per minute}

Conclusion

In conclusion, to convert 100 inches per minute to feet per minute, we need to use the correct expression: 100 inches1 minute×1 foot12 inches\frac{100 \text{ inches}}{1 \text{ minute}} \times \frac{1 \text{ foot}}{12 \text{ inches}}. By following the step-by-step guide, we can calculate the result and simplify it to get the final answer.

Common Applications

The conversion from inches per minute to feet per minute has various applications in real-life scenarios, such as:

  • Construction: When working with building materials, it's essential to understand how to convert between units of measurement to ensure accurate calculations.
  • Engineering: In engineering, conversions between units of measurement are crucial for designing and building structures, machines, and systems.
  • Everyday Life: Understanding how to convert between units of measurement can help you make informed decisions in your daily life, such as when shopping for materials or calculating distances.

Final Thoughts

Q: What is the difference between inches and feet?

A: Inches and feet are two different units of length in the imperial system. One foot is equal to 12 inches. When working with measurements, it's essential to understand the difference between these units to ensure accurate calculations.

Q: Why do I need to convert inches per minute to feet per minute?

A: Converting inches per minute to feet per minute is necessary in various fields, such as construction, engineering, and everyday applications. This conversion helps ensure accurate calculations and measurements, which is crucial for designing and building structures, machines, and systems.

Q: How do I convert inches to feet?

A: To convert inches to feet, you can use the conversion factor of 1 foot = 12 inches. Simply divide the number of inches by 12 to get the equivalent number of feet.

Q: What is the correct expression to convert inches per minute to feet per minute?

A: The correct expression to convert inches per minute to feet per minute is:

100 inches1 minute×1 foot12 inches\frac{100 \text{ inches}}{1 \text{ minute}} \times \frac{1 \text{ foot}}{12 \text{ inches}}

Q: How do I calculate the result of the conversion?

A: To calculate the result of the conversion, simply multiply the number of inches per minute by the conversion factor. In this case, we multiply 100 inches per minute by 1/12 to get the number of feet per minute.

Q: What is the result of converting 100 inches per minute to feet per minute?

A: The result of converting 100 inches per minute to feet per minute is:

8.33 feet per minute8.33 \text{ feet per minute}

Q: Can I use a calculator to convert units of measurement?

A: Yes, you can use a calculator to convert units of measurement. However, it's essential to understand the correct expression and conversion factors to ensure accurate calculations.

Q: Why is it essential to understand unit conversions in real-life scenarios?

A: Understanding unit conversions is essential in real-life scenarios because it helps ensure accurate calculations and measurements. This is crucial for designing and building structures, machines, and systems, as well as making informed decisions in everyday life.

Q: Can I use online conversion tools to convert units of measurement?

A: Yes, you can use online conversion tools to convert units of measurement. However, it's essential to understand the correct expression and conversion factors to ensure accurate calculations.

Q: What are some common applications of unit conversions?

A: Some common applications of unit conversions include:

  • Construction: When working with building materials, it's essential to understand how to convert between units of measurement to ensure accurate calculations.
  • Engineering: In engineering, conversions between units of measurement are crucial for designing and building structures, machines, and systems.
  • Everyday Life: Understanding how to convert between units of measurement can help you make informed decisions in your daily life, such as when shopping for materials or calculating distances.

Q: Can I convert units of measurement in my head?

A: Yes, you can convert units of measurement in your head by using mental math and conversion factors. However, it's essential to practice and become familiar with the correct expressions and conversion factors to ensure accurate calculations.