Fraction Converter
Convert between fractions, decimals, percentages, and ratios. Simplify fractions and work with mixed numbers instantly.
Enter Fraction Details
Fraction Type
Simple Fraction
Select the type of fraction you want to convert
Fraction
1/4
/
Enter numerator and denominator (e.g., 1/4)
Common Fractions
Quick Select
Quickly select common fraction values
Original Fraction
1/4
Simplified: 1/4
Conversion Results
Decimal
0.25
Numerator ÷ Denominator
Percentage
25%
Decimal × 100%
Ratio
1:4
Numerator:Denominator
Mixed Number
0 1/4
Whole + Remainder
Fraction Details
Improper Fraction
1/4
Decimal Places
2
Percentage Range
25%
Reciprocal
4/1
Visual Representation
Fraction Part: 1/4
Whole Remainder: 3/4
Common Fraction Equivalents
| Fraction | Decimal | Percentage | Ratio | Common Use |
|---|
Calculation Steps
1
Fraction to Decimal
1 ÷ 4 = 0.25
2
Decimal to Percentage
0.25 × 100 = 25%
3
Fraction to Ratio
1/4 = 1:4
About Fraction Conversion
Fractions represent parts of a whole. Converting fractions to other formats helps in different mathematical contexts and real-world applications.
Fraction Conversion Formulas
Fraction to Decimal
Decimal = Numerator ÷ Denominator
Example: 1/4 = 1 ÷ 4 = 0.25
Fraction to Percentage
Percentage = (Numerator ÷ Denominator) × 100%
Example: 1/4 = (1 ÷ 4) × 100 = 25%
Fraction to Ratio
Ratio = Numerator:Denominator
Example: 1/4 = 1:4
Fraction Simplification
Divide both by GCD
Example: 2/8 = 1/4 (GCD=2)
Types of Fractions
Proper Fractions
Numerator < Denominator (e.g., 1/4, 2/3). Value is less than 1.
Improper Fractions
Numerator ≥ Denominator (e.g., 5/4, 7/3). Value is 1 or greater.
Mixed Numbers
Whole number + proper fraction (e.g., 1 1/4, 2 2/3).
Equivalent Fractions
Different fractions representing same value (e.g., 1/2 = 2/4 = 3/6).
Note: Fractions should always be simplified to their lowest terms for clarity. When converting repeating decimals to fractions (like 0.333... = 1/3), the conversion may show approximate values. Always ensure the denominator is not zero.