Lome Walks For 22 1 2 22 \frac{1}{2} 22 2 1 Minutes And Runs For 7 1 2 7 \frac{1}{2} 7 2 1 Minutes To School. What Percentage Of The Total Time Does He Spend Walking?
Introduction
In this article, we will explore the concept of percentages and how to calculate them using real-world examples. We will use the scenario of Lome's commute to school to demonstrate how to find the percentage of time spent walking.
Understanding the Problem
Lome walks for minutes and runs for minutes to school. To find the percentage of time spent walking, we need to first find the total time taken for the commute. We can then calculate the percentage of time spent walking by dividing the time spent walking by the total time and multiplying by 100.
Calculating the Total Time
To find the total time, we need to add the time spent walking and the time spent running.
Total time = Time spent walking + Time spent running
Total time = $22 \frac{1}{2}$ + $7 \frac{1}{2}$
To add these fractions, we need to find a common denominator. The least common multiple of 2 and 2 is 2. Therefore, we can rewrite the fractions as:
$22 \frac{1}{2}$ = $22 \frac{1}{2} \times \frac{2}{2}$
$22 \frac{1}{2}$ = $44 \frac{2}{4}$
=
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Now we can add the fractions:
Total time = $44 \frac{2}{4}$ + $14 \frac{2}{4}$
Total time = $58 \frac{4}{4}$
Total time = 58 minutes
Calculating the Percentage of Time Spent Walking
Now that we have the total time, we can calculate the percentage of time spent walking. We will divide the time spent walking by the total time and multiply by 100.
Percentage of time spent walking = (Time spent walking ÷ Total time) × 100
Percentage of time spent walking = ($22 \frac{1}{2}$ ÷ 58) × 100
To divide the fractions, we need to find a common denominator. The least common multiple of 2 and 58 is 116. Therefore, we can rewrite the fractions as:
$22 \frac{1}{2}$ = $22 \frac{1}{2} \times \frac{58}{58}$
$22 \frac{1}{2}$ = $1286 \frac{58}{116}$
58 = 58 × 1
58 = 58 × 1
Now we can divide the fractions:
Percentage of time spent walking = ($1286 \frac{58}{116}$ ÷ $58 \times 1$) × 100
Percentage of time spent walking = $22 \frac{1}{2}$ × 100
Percentage of time spent walking = 37.93%
Conclusion
In this article, we used the scenario of Lome's commute to school to demonstrate how to calculate the percentage of time spent walking. We first found the total time by adding the time spent walking and the time spent running. We then calculated the percentage of time spent walking by dividing the time spent walking by the total time and multiplying by 100. The result was 37.93%.
Real-World Applications
Calculating percentages is an essential skill in many real-world applications. For example, in business, percentages are used to calculate profit margins, interest rates, and sales tax. In finance, percentages are used to calculate investment returns, credit card interest rates, and loan interest rates. In everyday life, percentages are used to calculate tips, sales tax, and interest rates on loans.
Tips and Tricks
When calculating percentages, it's essential to remember the following tips and tricks:
- Always find a common denominator when adding or subtracting fractions.
- When dividing fractions, find a common denominator and then divide the numerators.
- When multiplying fractions, multiply the numerators and multiply the denominators.
- When calculating percentages, always multiply by 100.
Common Mistakes
When calculating percentages, it's essential to avoid the following common mistakes:
- Forgetting to find a common denominator when adding or subtracting fractions.
- Forgetting to multiply by 100 when calculating percentages.
- Not checking the units of measurement when calculating percentages.
Conclusion
Introduction
In our previous article, we explored the concept of percentages and how to calculate them using the scenario of Lome's commute to school. We calculated the percentage of time spent walking by dividing the time spent walking by the total time and multiplying by 100. In this article, we will answer some frequently asked questions about calculating percentages.
Q: What is a percentage?
A: A percentage is a way to express a value as a fraction of 100. It is calculated by dividing a value by a total value and multiplying by 100.
Q: How do I calculate a percentage?
A: To calculate a percentage, you need to follow these steps:
- Find the value you want to calculate as a percentage.
- Divide the value by the total value.
- Multiply the result by 100.
Q: What is the formula for calculating a percentage?
A: The formula for calculating a percentage is:
Percentage = (Value ÷ Total Value) × 100
Q: How do I calculate a percentage when the value is a fraction?
A: To calculate a percentage when the value is a fraction, you need to follow these steps:
- Find a common denominator for the fraction.
- Divide the numerator by the denominator.
- Multiply the result by 100.
Q: What is the difference between a percentage and a proportion?
A: A percentage is a way to express a value as a fraction of 100, while a proportion is a way to express a relationship between two values. For example, if you have a value of 25 and a total value of 100, the percentage is 25%. However, if you have a value of 25 and a total value of 50, the proportion is 25:50 or 1:2.
Q: How do I calculate a percentage when the value is a decimal?
A: To calculate a percentage when the value is a decimal, you need to follow these steps:
- Multiply the decimal by 100.
- Add the percentage sign (%).
Q: What is the difference between a percentage increase and a percentage decrease?
A: A percentage increase is an increase in a value as a percentage of the original value, while a percentage decrease is a decrease in a value as a percentage of the original value. For example, if a value increases from 100 to 120, the percentage increase is 20%. However, if a value decreases from 100 to 80, the percentage decrease is 20%.
Q: How do I calculate a percentage increase or decrease?
A: To calculate a percentage increase or decrease, you need to follow these steps:
- Find the original value.
- Find the new value.
- Divide the difference between the new and original values by the original value.
- Multiply the result by 100.
Conclusion
In conclusion, calculating percentages is an essential skill in many real-world applications. By following the tips and tricks outlined in this article, you can avoid common mistakes and ensure accurate results. Remember to always find a common denominator when adding or subtracting fractions, and to multiply by 100 when calculating percentages. With practice and patience, you can become proficient in calculating percentages and apply this skill to real-world problems.
Common Mistakes
When calculating percentages, it's essential to avoid the following common mistakes:
- Forgetting to find a common denominator when adding or subtracting fractions.
- Forgetting to multiply by 100 when calculating percentages.
- Not checking the units of measurement when calculating percentages.
Tips and Tricks
When calculating percentages, it's essential to remember the following tips and tricks:
- Always find a common denominator when adding or subtracting fractions.
- When dividing fractions, find a common denominator and then divide the numerators.
- When multiplying fractions, multiply the numerators and multiply the denominators.
- When calculating percentages, always multiply by 100.
Real-World Applications
Calculating percentages is an essential skill in many real-world applications. For example, in business, percentages are used to calculate profit margins, interest rates, and sales tax. In finance, percentages are used to calculate investment returns, credit card interest rates, and loan interest rates. In everyday life, percentages are used to calculate tips, sales tax, and interest rates on loans.
Conclusion
In conclusion, calculating percentages is an essential skill in many real-world applications. By following the tips and tricks outlined in this article, you can avoid common mistakes and ensure accurate results. Remember to always find a common denominator when adding or subtracting fractions, and to multiply by 100 when calculating percentages. With practice and patience, you can become proficient in calculating percentages and apply this skill to real-world problems.