Converting a fraction to a percentage

Understanding Fractions and Percentages

Converting Fractions to Decimals

To convert a fraction to a decimal, divide the numerator (the top number) by the denominator (the bottom number).
For instance, to convert the fraction 1/4 to a decimal, perform the division 1 ÷ 4. The result is 0.25.

Converting Decimals to Percentages

After converting the fraction to a decimal, you can then convert the decimal to a percentage.
To convert a decimal to a percentage, multiply the decimal by 100 and add the percent symbol (%).
Using the earlier example, 0.25 (decimal form of 1/4) multiplied by 100 results in 25%.

Shortcut to Convert Fractions to Percentages

As a shortcut, to directly convert a fraction to a percentage, multiply the fraction by 100 and add the percent symbol (%).
For example, to convert the fraction 1/4 to a percentage directly, perform the multiplication (1/4) x 100. The result is 25%.

Practical Applications of Converting Fractions to Percentages

Understanding how to convert fractions to percentages helps in various fields such as mathematics, finance, data analysis, and statistics.
Converting fractions to percentages also aids in making comparisons between different quantities easier to understand.

Example of Converting a Fraction to a Percentage

For instance, to convert the fraction 3/5 to a percentage, convert the fraction to a decimal by dividing 3 by 5 to get 0.6. Then convert the decimal to a percentage by multiplying by 100 to get 60%. So, 3/5 as a percentage is 60%.
Similarly, you can convert the fraction 3/5 to a percentage directly by multiplying by 100 to get 60%. So, 3/5 as a percentage is 60%.