Change The Fraction $\frac{1}{5}$ To A Percent.A) $12\%$ B) $20\%$ C) $45\%$ D) $50\%$

Understanding the Basics

In mathematics, fractions and percentages are two ways to express a part of a whole. A fraction represents a part of a whole as a ratio of two numbers, while a percentage represents a part of a whole as a fraction of 100. In this article, we will focus on converting fractions to percentages, specifically the fraction $\frac{1}{5}$.

What is a Fraction?

A fraction is a way to express a part of a whole as a ratio of two numbers. It consists of a numerator (the top number) and a denominator (the bottom number). For example, the fraction $\frac{1}{5}$ represents one part out of five equal parts.

What is a Percentage?

A percentage is a way to express a part of a whole as a fraction of 100. It is a number that represents a part of a whole as a fraction of 100, with the percentage sign (%) indicating that the number is a percentage. For example, 20% represents 20 parts out of 100 equal parts.

Converting Fractions to Percentages

To convert a fraction to a percentage, we need to divide the numerator by the denominator and multiply the result by 100. In the case of the fraction $\frac{1}{5}$, we can convert it to a percentage as follows:

$\frac{1}{5} = \frac{1}{5} \times \frac{100}{100} = \frac{20}{100} = 20\%$

Step-by-Step Guide to Converting Fractions to Percentages

1. Identify the numerator and denominator: Identify the top and bottom numbers of the fraction.
2. Divide the numerator by the denominator: Divide the numerator by the denominator to get a decimal or fraction.
3. Multiply the result by 100: Multiply the result by 100 to convert it to a percentage.
4. Add the percentage sign: Add the percentage sign (%) to the result to indicate that it is a percentage.

Example 1: Converting $\frac{1}{5}$ to a Percentage

$\frac{1}{5} = \frac{1}{5} \times \frac{100}{100} = \frac{20}{100} = 20\%$

Example 2: Converting $\frac{3}{4}$ to a Percentage

$\frac{3}{4} = \frac{3}{4} \times \frac{100}{100} = \frac{75}{100} = 75\%$

Example 3: Converting $\frac{2}{3}$ to a Percentage

$\frac{2}{3} = \frac{2}{3} \times \frac{100}{100} = \frac{66.67}{100} = 66.67\%$

Conclusion

Converting fractions to percentages is a simple process that involves dividing the numerator by the denominator and multiplying the result by 100. By following the step-by-step guide outlined in this article, you can easily convert fractions to percentages and understand the relationship between fractions and percentages.

Answer to the Question

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

A: A fraction represents a part of a whole as a ratio of two numbers, while a percentage represents a part of a whole as a fraction of 100.

Q: How do I convert a fraction to a percentage?

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

Q: What is the formula for converting a fraction to a percentage?

A: The formula for converting a fraction to a percentage is:

$\frac{numerator}{denominator} \times \frac{100}{100} = \frac{percentage}{100}$

Q: Can I convert a percentage to a fraction?

A: Yes, you can convert a percentage to a fraction by dividing the percentage by 100 and simplifying the result.

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

A: To convert a mixed number to a percentage, you need to convert the mixed number to an improper fraction, then convert the improper fraction to a percentage.

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

A: A decimal represents a part of a whole as a fraction of 10, while a percentage represents a part of a whole as a fraction of 100.

Q: Can I convert a decimal to a percentage?

A: Yes, you can convert a decimal to a percentage by multiplying the decimal by 100 and adding the percentage sign.

Q: How do I convert a percentage to a decimal?

A: To convert a percentage to a decimal, you need to divide the percentage by 100.

Q: What is the relationship between fractions, decimals, and percentages?

A: Fractions, decimals, and percentages are all ways to express a part of a whole. Fractions represent a part of a whole as a ratio of two numbers, decimals represent a part of a whole as a fraction of 10, and percentages represent a part of a whole as a fraction of 100.

Q: Why is it important to convert fractions to percentages?

A: Converting fractions to percentages is important because it allows you to compare and contrast different parts of a whole in a more meaningful way. It also allows you to express a part of a whole in a more intuitive and familiar way.

Q: Can I use a calculator to convert fractions to percentages?

A: Yes, you can use a calculator to convert fractions to percentages. Simply enter the fraction and the calculator will display the percentage.

Q: What are some common mistakes to avoid when converting fractions to percentages?

A: Some common mistakes to avoid when converting fractions to percentages include:

• Forgetting to multiply the result by 100
• Forgetting to add the percentage sign
• Not simplifying the result
• Not using the correct formula

Conclusion

Converting fractions to percentages is a simple process that involves dividing the numerator by the denominator and multiplying the result by 100. By following the step-by-step guide outlined in this article, you can easily convert fractions to percentages and understand the relationship between fractions, decimals, and percentages.