Loading Calculator...
Please wait a moment
Please wait a moment
Convert fractions to decimals and percentages with adjustable precision. Includes common fraction reference table.
Decimal = Numerator ÷ Denominator
Percentage = (Numerator ÷ Denominator) × 100
Example: 3/4 = 3 ÷ 4 = 0.75 = 75%
| Fraction | Decimal | Percentage |
|---|---|---|
| 1/2 | 0.500000 | 50% |
| 1/3 | 0.333333 | 33.33% |
| 2/3 | 0.666667 | 66.67% |
| 1/4 | 0.250000 | 25% |
| 3/4 | 0.750000 | 75% |
| 1/5 | 0.200000 | 20% |
| 2/5 | 0.400000 | 40% |
| 3/5 | 0.600000 | 60% |
| 4/5 | 0.800000 | 80% |
| 1/8 | 0.125000 | 12.5% |
| 3/8 | 0.375000 | 37.5% |
| 5/8 | 0.625000 | 62.5% |
| 7/8 | 0.875000 | 87.5% |
| 1/10 | 0.100000 | 10% |
A fraction represents a part of a whole. It consists of two numbers: the numerator (top number) and the denominator (bottom number). The numerator indicates how many parts you have, while the denominator indicates how many equal parts make up the whole. For example, in 3/4, you have 3 parts out of 4 equal parts total.
A decimal is another way to represent parts of a whole using the base-10 number system. The digits after the decimal point represent tenths, hundredths, thousandths, and so on. For example, 0.75 means 7 tenths and 5 hundredths, or 75 hundredths. Decimals are often easier to work with in calculations than fractions.
To convert a fraction to a decimal, simply divide the numerator by the denominator. For example, to convert 3/4 to a decimal, divide 3 by 4 to get 0.75. Some fractions result in repeating decimals (like 1/3 = 0.333...), while others result in terminating decimals (like 1/4 = 0.25). Understanding this conversion is essential for mathematics, science, and everyday calculations.
A percentage is a fraction with a denominator of 100. The word "percent" means "per hundred." To convert a decimal to a percentage, multiply by 100. For example, 0.75 × 100 = 75%. Percentages are widely used in finance, statistics, discounts, grades, and many other practical applications. They make comparisons easier and more intuitive.
Divide the numerator by the denominator:
Example 1: 1/2 = 1 ÷ 2 = 0.5
Example 2: 3/4 = 3 ÷ 4 = 0.75
Example 3: 5/8 = 5 ÷ 8 = 0.625
Example 4: 1/3 = 1 ÷ 3 = 0.333... (repeating)
Divide the numerator by the denominator, then multiply by 100:
Example 1: 1/2 = (1 ÷ 2) × 100 = 50%
Example 2: 3/4 = (3 ÷ 4) × 100 = 75%
Example 3: 1/5 = (1 ÷ 5) × 100 = 20%
Count decimal places, use as denominator power of 10, simplify:
Example 1: 0.5 = 5/10 = 1/2
Example 2: 0.75 = 75/100 = 3/4
Example 3: 0.125 = 125/1000 = 1/8
Cooking and Baking: Converting recipe measurements from fractions (1/2 cup) to decimals (0.5 cups) for precision scaling.
Construction and Engineering: Converting fractional measurements (3/16 inch) to decimal equivalents for CAD software and precision tools.
Financial Calculations: Converting fractional interest rates, stock prices, and investment returns to percentages and decimals.
Academic Testing: Converting test scores from fractions (15/20) to percentages (75%) and letter grades.
Data Analysis: Converting survey results and statistical data from fractions to percentages for easier interpretation.
To convert a fraction to a decimal, divide the numerator (top number) by the denominator (bottom number). For example, 3/4 = 3 ÷ 4 = 0.75.
A repeating decimal is a decimal number where one or more digits repeat infinitely. For example, 1/3 = 0.333... where the 3 repeats forever. These are also called recurring decimals and are often written with a bar over the repeating digit(s).
1/4 equals 0.25 as a decimal and 25% as a percentage. This is one of the most common fractions used in everyday life, representing one quarter or one-fourth of a whole.
To convert a decimal to a percentage, multiply by 100 and add the % symbol. For example, 0.75 × 100 = 75%. Alternatively, move the decimal point two places to the right.
Decimals are often easier to work with in calculations, especially when using calculators or computers. They're also easier to compare (is 0.75 or 0.8 larger?) and are the standard format for money, measurements in science, and many technical applications.