Convert And Simplify Your Answer. Write It As A Proper Fraction, Whole Number, Or Mixed Number.___ Feet = 2 3 \frac{2}{3} 3 2 ​ Of A Mile

Introduction

In mathematics, converting and simplifying measurements is an essential skill that helps us understand and work with different units of measurement. In this article, we will focus on converting feet to miles, a common conversion in everyday life. We will explore how to convert $\frac{2}{3}$ of a mile to feet, and simplify the result to a whole number or mixed number.

Understanding the Conversion

To convert feet to miles, we need to know that there are 5,280 feet in one mile. This is a fundamental conversion factor that we will use to convert $\frac{2}{3}$ of a mile to feet.

Converting $\frac{2}{3}$ of a Mile to Feet

To convert $\frac{2}{3}$ of a mile to feet, we can multiply the fraction by the conversion factor of 5,280 feet per mile.

$\frac{2}{3} \times 5,280 = 3,520$

Simplifying the Result

The result of the conversion is 3,520 feet. However, we can simplify this result to a mixed number or whole number.

Converting to a Mixed Number

To convert 3,520 feet to a mixed number, we can divide the number by 12 (the number of inches in a foot).

$3,520 ÷ 12 = 293 \frac{4}{12}$

We can simplify the fraction $\frac{4}{12}$ to $\frac{1}{3}$.

$293 \frac{4}{12} = 293 \frac{1}{3}$

Converting to a Whole Number

To convert 3,520 feet to a whole number, we can divide the number by 12 (the number of inches in a foot).

$3,520 ÷ 12 = 293.33$

We can round the result to the nearest whole number.

$293.33 ≈ 293$

Conclusion

In this article, we have learned how to convert $\frac{2}{3}$ of a mile to feet, and simplify the result to a whole number or mixed number. We have used the conversion factor of 5,280 feet per mile to convert the fraction, and then simplified the result using division and rounding. This skill is essential in mathematics and everyday life, and we hope that this article has helped you understand and work with different units of measurement.

Common Conversions

Here are some common conversions that you may find useful:

• 1 mile = 5,280 feet
• 1 mile = 63,360 inches
• 1 mile = 1,760 yards
• 1 foot = 12 inches
• 1 foot = 0.3333 miles

Practice Problems

Here are some practice problems to help you practice converting and simplifying measurements:

• Convert 2 miles to feet.
• Convert 3,000 feet to miles.
• Convert 1,000 yards to feet.
• Convert 5,000 inches to feet.

Answer Key

Here are the answers to the practice problems:

• 2 miles = 10,560 feet
• 3,000 feet = 0.5657 miles
• 1,000 yards = 3,280 feet
• 5,000 inches = 416.67 feet

Conclusion

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Introduction

In our previous article, we explored the concept of converting and simplifying measurements, with a focus on converting feet to miles. We also provided common conversions and practice problems to help you practice and reinforce your skills. In this article, we will answer some frequently asked questions about converting and simplifying measurements.

Q&A

Q: What is the most common conversion factor for feet to miles?

A: The most common conversion factor for feet to miles is 5,280 feet per mile.

Q: How do I convert a fraction of a mile to feet?

A: To convert a fraction of a mile to feet, you can multiply the fraction by the conversion factor of 5,280 feet per mile.

Q: Can I convert feet to miles using a calculator?

A: Yes, you can convert feet to miles using a calculator. Simply enter the number of feet and divide it by 5,280.

Q: How do I simplify a mixed number to a whole number?

A: To simplify a mixed number to a whole number, you can add the whole number part to the fraction part and then round to the nearest whole number.

Q: What is the difference between a whole number and a mixed number?

A: A whole number is a number that is not a fraction, while a mixed number is a number that is a combination of a whole number and a fraction.

Q: Can I convert inches to feet?

A: Yes, you can convert inches to feet by dividing the number of inches by 12.

Q: How do I convert yards to feet?

A: To convert yards to feet, you can multiply the number of yards by 3.

Q: Can I convert miles to yards?

A: Yes, you can convert miles to yards by multiplying the number of miles by 1,760.

Q: What is the most common conversion factor for yards to feet?

A: The most common conversion factor for yards to feet is 3 feet per yard.

Q: How do I convert a fraction of a yard to feet?

A: To convert a fraction of a yard to feet, you can multiply the fraction by the conversion factor of 3 feet per yard.

Q: Can I convert feet to inches?

A: Yes, you can convert feet to inches by multiplying the number of feet by 12.

Q: How do I convert a mixed number to a decimal?

A: To convert a mixed number to a decimal, you can add the whole number part to the fraction part and then divide by the denominator.

Q: What is the difference between a decimal and a fraction?

A: A decimal is a number that is written in the form of a point, while a fraction is a number that is written in the form of a numerator and a denominator.

Q: Can I convert a decimal to a fraction?

A: Yes, you can convert a decimal to a fraction by dividing the decimal by the denominator and then simplifying the result.

Conclusion

In conclusion, converting and simplifying measurements is an essential skill that helps us understand and work with different units of measurement. We have answered some frequently asked questions about converting and simplifying measurements, and provided common conversions and practice problems to help you practice and reinforce your skills.

Practice Problems

Here are some practice problems to help you practice converting and simplifying measurements:

• Convert 2 miles to feet.
• Convert 3,000 feet to miles.
• Convert 1,000 yards to feet.
• Convert 5,000 inches to feet.
• Convert 2 yards to feet.
• Convert 3 miles to yards.
• Convert 1,000 feet to inches.
• Convert 2.5 miles to feet.
• Convert 3.5 yards to feet.

Answer Key

Here are the answers to the practice problems:

• 2 miles = 10,560 feet
• 3,000 feet = 0.5657 miles
• 1,000 yards = 3,280 feet
• 5,000 inches = 416.67 feet
• 2 yards = 6 feet
• 3 miles = 5,280 yards
• 1,000 feet = 12,000 inches
• 2.5 miles = 13,200 feet
• 3.5 yards = 10.5 feet