Billy Walks A Mile To School Each Day.Write This Distance As Hundredths In Fraction Form And In Decimal Form.
Understanding the Problem
Billy walks a mile to school each day. We need to express this distance in two different forms: hundredths in fraction form and decimal form.
Converting Distance to Fraction Form
To convert the distance to fraction form, we need to express it as a ratio of two numbers. Since we are dealing with hundredths, we can write the distance as a fraction with the denominator 100.
Expressing Distance as a Fraction
The distance Billy walks is 1 mile. To express this in fraction form, we can write it as:
1 mile = 1/1 mile
However, since we want to express it in hundredths, we can multiply the numerator and denominator by 100 to get:
1 mile = 100/100 mile
This can be simplified to:
1 mile = 1/1 × 100/100 = 100/100
Expressing Distance in Hundredths Fraction Form
To express the distance in hundredths fraction form, we can write it as:
1 mile = 100/100
This means that Billy walks 100 hundredths of a mile to school each day.
Converting Distance to Decimal Form
To convert the distance to decimal form, we need to divide the numerator by the denominator.
Converting Fraction to Decimal
The fraction 100/100 can be converted to decimal form by dividing the numerator by the denominator:
100 ÷ 100 = 1
Expressing Distance in Decimal Form
The distance Billy walks is 1 mile, which can be expressed in decimal form as:
1 mile = 1.00
This means that Billy walks 1.00 miles to school each day.
Conclusion
In conclusion, we have successfully converted the distance Billy walks to school each day from fraction form to decimal form. We expressed the distance in hundredths fraction form as 100/100 and in decimal form as 1.00.
Key Takeaways
- To convert a fraction to decimal form, we need to divide the numerator by the denominator.
- To express a distance in hundredths fraction form, we can multiply the numerator and denominator by 100.
- The decimal form of a fraction can be obtained by dividing the numerator by the denominator.
Practice Problems
- Convert the fraction 3/4 to decimal form.
- Express the distance 2.5 miles in hundredths fraction form.
Answer Key
- 3/4 = 0.75
- 2.5 miles = 250/100 = 2.5/1 × 100/100 = 250/100
Understanding the Basics
Before we dive into the FAQs, let's quickly review the basics of converting distance to fraction and decimal form.
- To convert a fraction to decimal form, we need to divide the numerator by the denominator.
- To express a distance in hundredths fraction form, we can multiply the numerator and denominator by 100.
- The decimal form of a fraction can be obtained by dividing the numerator by the denominator.
Q&A
Q: What is the difference between fraction form and decimal form?
A: Fraction form and decimal form are two different ways of expressing a number. Fraction form is a ratio of two numbers, while decimal form is a number with a decimal point.
Q: How do I convert a fraction to decimal form?
A: To convert a fraction to decimal form, you need to divide the numerator by the denominator. For example, to convert the fraction 3/4 to decimal form, you would divide 3 by 4, which equals 0.75.
Q: How do I express a distance in hundredths fraction form?
A: To express a distance in hundredths fraction form, you can multiply the numerator and denominator by 100. For example, to express the distance 2.5 miles in hundredths fraction form, you would multiply the numerator and denominator by 100, resulting in 250/100.
Q: What is the decimal form of the fraction 1/2?
A: To find the decimal form of the fraction 1/2, you need to divide the numerator by the denominator. 1 divided by 2 equals 0.5.
Q: How do I convert a decimal to fraction form?
A: To convert a decimal to fraction form, you need to express the decimal as a ratio of two numbers. For example, to convert the decimal 0.5 to fraction form, you would express it as 1/2.
Q: What is the fraction form of the distance 1.5 miles?
A: To find the fraction form of the distance 1.5 miles, you need to express it as a ratio of two numbers. 1.5 can be expressed as 3/2.
Q: How do I convert a mixed number to decimal form?
A: To convert a mixed number to decimal form, you need to convert the whole number part to decimal form and then add the decimal part. For example, to convert the mixed number 2 1/2 to decimal form, you would convert the whole number part to decimal form (2 = 2.0) and then add the decimal part (1/2 = 0.5), resulting in 2.5.
Q: What is the decimal form of the mixed number 3 1/4?
A: To find the decimal form of the mixed number 3 1/4, you need to convert the whole number part to decimal form (3 = 3.0) and then add the decimal part (1/4 = 0.25), resulting in 3.25.
Conclusion
In conclusion, we have answered some of the most frequently asked questions about converting distance to fraction and decimal form. We hope this article has been helpful in clarifying any confusion and providing a better understanding of the basics of converting distance to fraction and decimal form.
Key Takeaways
- To convert a fraction to decimal form, you need to divide the numerator by the denominator.
- To express a distance in hundredths fraction form, you can multiply the numerator and denominator by 100.
- The decimal form of a fraction can be obtained by dividing the numerator by the denominator.
- To convert a decimal to fraction form, you need to express the decimal as a ratio of two numbers.
- To convert a mixed number to decimal form, you need to convert the whole number part to decimal form and then add the decimal part.
Practice Problems
- Convert the fraction 2/3 to decimal form.
- Express the distance 3.25 miles in hundredths fraction form.
- Convert the decimal 0.75 to fraction form.
- Express the mixed number 4 1/2 in decimal form.
Answer Key
- 2/3 = 0.67
- 3.25 miles = 325/100
- 0.75 = 3/4
- 4 1/2 = 4.5