Express Each Fraction As A Percent.1. $\frac{7}{8}$2. $\frac{8}{5}$3. $\frac{17}{20}$4. 1 50 \frac{1}{50} 50 1

Mar 13, 2025 by ADMIN 113 views

**Expressing Fractions as Percentages: A Comprehensive Guide**

Introduction

In mathematics, fractions and percentages are two essential concepts that are often used interchangeably. However, they represent different values and are used in various contexts. In this article, we will focus on expressing fractions as percentages, which is a crucial skill in mathematics and real-world applications.

What are Fractions and Percentages?

A fraction is a way of expressing a part of a whole as a ratio of two numbers. It consists of a numerator (the number on top) and a denominator (the number on the bottom). For example, the fraction 3/4 represents three parts out of four equal parts.

On the other hand, a percentage is a way of expressing a value as a fraction of 100. It is a ratio of a number to 100, and it is often denoted by the symbol "%". For example, 25% is equal to 25/100.

Expressing Fractions as Percentages

To express a fraction as a percentage, we need to divide the numerator by the denominator and multiply the result by 100. This will give us the percentage equivalent of the fraction.

1. Expressing 7/8 as a Percentage

To express 7/8 as a percentage, we need to divide 7 by 8 and multiply the result by 100.

numerator = 7
denominator = 8
percentage = (numerator / denominator) * 100
print(percentage)

When we run this code, we get the result: 87.5%

Therefore, 7/8 is equal to 87.5%.

2. Expressing 8/5 as a Percentage

To express 8/5 as a percentage, we need to divide 8 by 5 and multiply the result by 100.

numerator = 8
denominator = 5
percentage = (numerator / denominator) * 100
print(percentage)

When we run this code, we get the result: 160%

Therefore, 8/5 is equal to 160%.

3. Expressing 17/20 as a Percentage

To express 17/20 as a percentage, we need to divide 17 by 20 and multiply the result by 100.

numerator = 17
denominator = 20
percentage = (numerator / denominator) * 100
print(percentage)

When we run this code, we get the result: 85%

Therefore, 17/20 is equal to 85%.

4. Expressing 1/50 as a Percentage

To express 1/50 as a percentage, we need to divide 1 by 50 and multiply the result by 100.

numerator = 1
denominator = 50
percentage = (numerator / denominator) * 100
print(percentage)

When we run this code, we get the result: 2%

Therefore, 1/50 is equal to 2%.

Conclusion

In this article, we have learned how to express fractions as percentages. We have used Python code to calculate the percentage equivalent of each fraction. We have also seen that expressing fractions as percentages is a crucial skill in mathematics and real-world applications.

Real-World Applications

Expressing fractions as percentages has many real-world applications. For example:

In finance, percentages are used to calculate interest rates, investment returns, and credit card balances.
In science, percentages are used to calculate the concentration of a solution, the percentage of a substance in a mixture, and the percentage of a population that has a certain characteristic.
In everyday life, percentages are used to calculate discounts, sales tax, and tips.

Tips and Tricks

Here are some tips and tricks for expressing fractions as percentages:

Make sure to divide the numerator by the denominator and multiply the result by 100.
Use a calculator or Python code to calculate the percentage equivalent of a fraction.
Practice, practice, practice! Expressing fractions as percentages is a skill that requires practice to develop.

Common Mistakes

Here are some common mistakes to avoid when expressing fractions as percentages:

Forgetting to divide the numerator by the denominator.
Forgetting to multiply the result by 100.
Using the wrong numerator or denominator.

Conclusion

Q&A: Expressing Fractions as Percentages

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

A: A fraction is a way of expressing a part of a whole as a ratio of two numbers, while a percentage is a way of expressing a value as a fraction of 100.

Q: How do I express a fraction as a percentage?

A: To express a fraction as a percentage, you need to divide the numerator by the denominator and multiply the result by 100.

Q: What is the formula for expressing a fraction as a percentage?

A: The formula for expressing a fraction as a percentage is:

(Numator / Denominator) x 100

Q: How do I calculate the percentage equivalent of a fraction?

A: To calculate the percentage equivalent of a fraction, you can use a calculator or Python code. Here is an example of how to calculate the percentage equivalent of 7/8 using Python:

numerator = 7
denominator = 8
percentage = (numerator / denominator) * 100
print(percentage)

Q: What is the percentage equivalent of 3/4?

A: To calculate the percentage equivalent of 3/4, you can use the formula:

(3 / 4) x 100 = 75%

Q: What is the percentage equivalent of 9/10?

A: To calculate the percentage equivalent of 9/10, you can use the formula:

(9 / 10) x 100 = 90%

Q: How do I express a decimal as a percentage?

A: To express a decimal as a percentage, you can multiply the decimal by 100.

Q: What is the percentage equivalent of 0.5?

A: To calculate the percentage equivalent of 0.5, you can multiply 0.5 by 100:

0.5 x 100 = 50%

Q: How do I express a percentage as a fraction?

A: To express a percentage as a fraction, you can divide the percentage by 100 and simplify the result.

Q: What is the fraction equivalent of 25%?

A: To calculate the fraction equivalent of 25%, you can divide 25 by 100 and simplify the result:

25 / 100 = 1/4

Q: What is the fraction equivalent of 75%?

A: To calculate the fraction equivalent of 75%, you can divide 75 by 100 and simplify the result:

75 / 100 = 3/4

Conclusion

In conclusion, expressing fractions as percentages is a crucial skill in mathematics and real-world applications. We have learned how to express fractions as percentages using Python code and have seen the importance of this skill in finance, science, and everyday life. With practice and patience, you can develop this skill and become proficient in expressing fractions as percentages.

Common Mistakes

Here are some common mistakes to avoid when expressing fractions as percentages:

Forgetting to divide the numerator by the denominator.
Forgetting to multiply the result by 100.
Using the wrong numerator or denominator.

Tips and Tricks

Here are some tips and tricks for expressing fractions as percentages:

Make sure to divide the numerator by the denominator and multiply the result by 100.
Use a calculator or Python code to calculate the percentage equivalent of a fraction.
Practice, practice, practice! Expressing fractions as percentages is a skill that requires practice to develop.

Real-World Applications

Expressing fractions as percentages has many real-world applications. For example:

In finance, percentages are used to calculate interest rates, investment returns, and credit card balances.
In science, percentages are used to calculate the concentration of a solution, the percentage of a substance in a mixture, and the percentage of a population that has a certain characteristic.
In everyday life, percentages are used to calculate discounts, sales tax, and tips.