Decimal = Numerator ÷ Denominator
For mixed numbers: First convert to improper fraction by multiplying the whole number by the denominator and adding the numerator.
Repeating decimals: Some fractions produce decimals that repeat indefinitely. We detect these patterns and show them with an overline or parentheses.
Simple: Enter numerator and denominator (e.g., 3/4)
Mixed: Enter whole number, numerator, and denominator (e.g., 2 1/4)
Negative: Use negative sign on numerator or whole number
Fraction to decimal conversion is the process of transforming a fraction (a ratio of two integers) into its equivalent decimal representation. This is achieved by dividing the numerator by the denominator. For example, the fraction 3/4 becomes 0.75 when converted to decimal form.
Understanding how to convert between fractions and decimals is essential in mathematics, science, engineering, and everyday life. Decimals are often more practical for calculations, comparisons, and measurements, while fractions can represent exact values that decimals cannot (like 1/3).
Terminating Decimals
These decimals end after a finite number of digits. They occur when the denominator (in lowest terms) has only 2 and 5 as prime factors. Examples: 1/4 = 0.25, 3/8 = 0.375
Repeating Decimals
These decimals have a pattern that repeats infinitely. They occur when the denominator has prime factors other than 2 and 5. Examples: 1/3 = 0.333..., 2/7 = 0.285714285714...
Fraction to decimal conversions are based on exact division. Repeating decimals may be rounded according to specified precision. For critical applications requiring exact values, consider using fractions or symbolic computation.