Add, subtract, multiply, and divide fractions with step-by-step solutions and simplified results.
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Addition/Subtraction require a common denominator: LCM of denominators. Multiply numerators and denominators for multiplication. Division is multiplication by the reciprocal of the divisor.
Divide numerator and denominator by their greatest common divisor (Euclidean algorithm). Keep denominator positive by convention.
Fraction → Decimal: n/d; Fraction → Percent: (n/d)×100. Decimal → Fraction uses continued fractions for best rational approximation constrained by a maximum denominator and tolerance.
For a/b, write a = q·b + r with 0 ≤ r < b. Then a/b = q r/b is the mixed form.
Operate on fractions, convert formats, and show exact steps with rational arithmetic.
Operations, simplify, convert, compare, list sums, scaling, reciprocal/power.
Use integers for numerators/denominators. Convert modes accept decimals/percents.
See working with LCD, GCD, and continued fractions where relevant.
Display precision does not affect exact fractional results.
Proper: |n| < d; Improper: |n| ≥ d; improper can be mixed.
Fractions are exact; decimal approximations use continued fractions.
Use parentheses or step-by-step modes for multi-step expressions.
Master fraction mathematics with our comprehensive fraction calculator. Perform fraction addition, subtraction, multiplication, and division with step-by-step solutions. Convert between fractions, decimals, and percentages, simplify fractions to lowest terms, work with mixed numbers and improper fractions, and compare fractions using common denominators. Perfect for students learning fraction concepts, teachers creating math problems, and professionals needing precise fractional calculations with detailed mathematical explanations.
Add, subtract, multiply, and divide fractions with automatic simplification and step-by-step solutions showing common denominators and mathematical processes.
Convert seamlessly between fractions, decimals, percentages, and mixed numbers with precise calculations and detailed conversion steps.
Learn fraction concepts with detailed explanations, visual step-by-step solutions, and examples covering all aspects of fraction mathematics.
Our fraction calculator serves as your comprehensive tool for all fraction-related mathematics. Whether you're a student learning basic fraction operations, a teacher creating fraction problems and worksheets, or a professional needing precise fractional calculations, this tool provides accurate results with educational value. Perfect for homework help, fraction practice, cooking recipe conversions, construction measurements, and any situation requiring fractional arithmetic. The calculator handles complex fraction operations, provides step-by-step solutions for learning, and supports various fraction formats including proper fractions, improper fractions, mixed numbers, and decimal equivalents.
Enhance your mathematical calculations with our comprehensive tool suite. Use the Percentage Calculator for fraction-to-percentage conversions, the Scientific Calculator for advanced mathematical functions, or the Basic Calculator for simple arithmetic operations alongside your fraction work.
Important: This fraction calculator is designed for educational, mathematical learning, and computational purposes using standard arithmetic algorithms including Euclidean GCD/LCM methods and continued fraction representations. While calculations are mathematically accurate and follow established number theory principles, the tool is intended for learning, homework assistance, and general mathematical problem-solving rather than specialized mathematical research or professional applications. For academic submissions, engineering calculations, or professional mathematical work requiring high precision, verify results using multiple methods and appropriate mathematical software. The calculator handles standard fraction operations but may not account for specialized mathematical contexts or advanced computational requirements.