Convert Percents to Decimals and Fractions

A percent (symbol: %) is a way to express a number as a fraction of 100. It literally means “per hundred.”

How to convert a decimal to a percent?

1. Multiply the decimal by 100 (or move the decimal point two places to the right).
   
2. Add the percent symbol (%) at the end.
   Example: 0.43 = 43%

How to convert a percent to a decimal?

1. Divide the decimal by 100 (or move the decimal point two places to the left).
2. Remove the percent symbol (%).
   Example: 7% = 0.07

The following diagram shows how to convert from fractions to decimals to percents and vice versa. Scroll down the page for more examples and solutions.

 

Percent Worksheets:
Practice your skills with the following percent worksheets:
Online & Printable Percent Worksheets

How to convert a percent to a fraction?

1. Place the percent value as the numerator of a fraction with a denominator of 100.
2. Simplify the fraction.
   Example: 15% = \( \frac{15}{100} \) = \( \frac{3}{20} \)

How to convert a fraction to a percent?
Method 1: Convert to Decimal First

1. Divide the numerator of the fraction by its denominator to get a decimal.
2. Multiply the decimal by 100 (or move the decimal point two places to the right).
3. Add the percent symbol (%) at the end.

Method 2: Multiply by \( \frac{100}{1} \)

1. Multiply the fraction by \( \frac{100}{1} \).
2. Simplify the resulting fraction.
3. Add the percent symbol (%) at the end.

How to convert a fraction to a decimal?
Divide the numerator of the fraction by its denominator to get a decimal.
Example: 23/100 = 0.23

How to convert a decimal to a fraction?
In this lesson, we will assume that the decimal is terminating.
Method 1: Read the decimal

1. Say the decimal out loud, paying attention to the place value of the last digit.
2. Write as a fraction: The digits after the decimal point become the numerator. The denominator is a power of 10 corresponding to the place value of the last digit.
3. Reduce the fraction to its simplest form.
   Examples:
   0.8: “eight tenths” → \( \frac{8}{10} \) = \( \frac{4}{5} \)
   0.25: “twenty-five hundredths” → \( \frac{25}{100} \) = \( \frac{1}{4} \)

Method 2: Count decimal places

1. Count the number of decimal places given in the decimal.
2. Write the decimal without the point as the numerator.
3. Write 10, 100, or 1000 etc. as the denominator based on the given decimal places.
4. Simplify the fraction.
   Examples:
   1 decimal place → 10 (e.g., 0.3 = \( \frac{3}{10} \)
   2 decimal places → 100 (e.g., 0.25 = \( \frac{25}{100} \) = \( \frac{1}{4} \)

Have a look at the following lesson if you need to learn how to convert a repeating decimal to a fraction.
Convert a repeating decimal to a fraction

Converting Percents into Fractions and Decimals
This video contains numerous examples of how to convert percents into fractions and decimals.

• Show Step-by-step Solutions

Converting Between Fractions, Decimals, and Percentages
Learn to convert percents to fractions and decimals.

• Show Step-by-step Solutions

Converting between fractions, decimals and percentages
Learn to convert percents to fractions and decimals.

• Show Step-by-step Solutions

Try out our new and fun Fraction Concoction Game.

Add and subtract fractions to make exciting fraction concoctions following a recipe. There are four levels of difficulty: Easy, medium, hard and insane. Practice the basics of fraction addition and subtraction or challenge yourself with the insane level.

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