Convert $\frac{1}{5}$ To A Percentage: $\square$ %Convert $\frac{12}{100}$ To A Decimal: $\square$

Introduction

In mathematics, converting fractions and decimals to percentages and decimals is an essential skill that is used in various fields, including finance, science, and engineering. In this article, we will discuss how to convert fractions and decimals to percentages and decimals.

Converting Fractions to Percentages

A fraction is a way of expressing a part of a whole as a ratio of two numbers. To convert a fraction to a percentage, we need to divide the numerator by the denominator and multiply by 100.

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

To convert $\frac{1}{5}$ to a percentage, we need to divide 1 by 5 and multiply by 100.

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

Therefore, $\frac{1}{5}$ is equal to 20%.

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

To convert $\frac{3}{4}$ to a percentage, we need to divide 3 by 4 and multiply by 100.

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

Therefore, $\frac{3}{4}$ is equal to 75%.

Converting Decimals to Percentages

A decimal is a way of expressing a number as a fraction with a denominator of 10 or a power of 10. To convert a decimal to a percentage, we need to multiply the decimal by 100.

Example 1: Converting 0.25 to a Percentage

To convert 0.25 to a percentage, we need to multiply 0.25 by 100.

$0.25 \times 100 = 25\%$

Therefore, 0.25 is equal to 25%.

Example 2: Converting 0.75 to a Percentage

To convert 0.75 to a percentage, we need to multiply 0.75 by 100.

$0.75 \times 100 = 75\%$

Therefore, 0.75 is equal to 75%.

Converting Fractions to Decimals

To convert a fraction to a decimal, we need to divide the numerator by the denominator.

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

To convert $\frac{1}{5}$ to a decimal, we need to divide 1 by 5.

$\frac{1}{5} = 0.2$

Therefore, $\frac{1}{5}$ is equal to 0.2.

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

To convert $\frac{3}{4}$ to a decimal, we need to divide 3 by 4.

$\frac{3}{4} = 0.75$

Therefore, $\frac{3}{4}$ is equal to 0.75.

Converting Decimals to Fractions

To convert a decimal to a fraction, we need to express the decimal as a fraction with a denominator of 10 or a power of 10.

Example 1: Converting 0.25 to a Fraction

To convert 0.25 to a fraction, we need to express 0.25 as a fraction with a denominator of 10.

$0.25 = \frac{25}{100} = \frac{1}{4}$

Therefore, 0.25 is equal to $\frac{1}{4}$.

Example 2: Converting 0.75 to a Fraction

To convert 0.75 to a fraction, we need to express 0.75 as a fraction with a denominator of 10.

$0.75 = \frac{75}{100} = \frac{3}{4}$

Therefore, 0.75 is equal to $\frac{3}{4}$.

Conclusion

In conclusion, converting fractions and decimals to percentages and decimals is an essential skill that is used in various fields. By following the steps outlined in this article, you can easily convert fractions and decimals to percentages and decimals.

Practice Problems

1. Convert $\frac{2}{3}$ to a percentage.
2. Convert 0.5 to a percentage.
3. Convert $\frac{4}{5}$ to a decimal.
4. Convert 0.8 to a decimal.
5. Convert $\frac{1}{2}$ to a fraction.
6. Convert 0.25 to a fraction.

Answer Key

1. $\frac{2}{3} = \frac{2}{3} \times 100 = 66.67\%$
2. $0.5 \times 100 = 50\%$
3. $\frac{4}{5} = 0.8$
4. $0.8 = \frac{80}{100} = \frac{4}{5}$
5. $\frac{1}{2} = \frac{1}{2} = 0.5$
6. $0.25 = \frac{25}{100} = \frac{1}{4}$
   Converting Fractions and Decimals to Percentages and Decimals: Q&A ====================================================================

Introduction

In our previous article, we discussed how to convert fractions and decimals to percentages and decimals. In this article, we will answer some frequently asked questions about converting fractions and decimals to percentages and decimals.

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

A: A fraction is a way of expressing a part of a whole as a ratio of two numbers, while a decimal is a way of expressing a number as a fraction with a denominator of 10 or a power of 10.

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 by 100.

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

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

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

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

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