Fraction Operations & Simplifier Calculator (Add, Subtract, Multiply, Divide)
Perform arithmetic operations on two fractions (addition, subtraction, multiplication, division), find common denominators, and convert results to exact decimals and percentages.
Calculator Inputs
Live Real-TimeDecimal Representation
Resulting Numerator
23 num
Resulting Denominator
20 den
Percentage Equivalent (%)
115%
Improper Fraction: Result is greater than 1.0, meaning the numerator exceeds the denominator.
Fraction Calculation Breakdown
Detailed Calculation Breakdown
Calculation Methodology
Add/Subtract: (a/b) ± (c/d) = (ad ± bc) / bd. Multiply: (a/b) * (c/d) = ac / bd. Divide: (a/b) / (c/d) = (a/b) * (d/c) = ad / bc.
Important Legal & Educational Disclaimer
This mathematical tool computes rational fraction arithmetic and decimal conversions.
This calculator is designed for educational and informational purposes only based on public statutory frameworks. The outputs do not constitute binding financial, tax, or legal advice. We assume no liability for decisions made based on these estimations. Always verify with the relevant official authorities or a certified professional advisor.
Frequently Asked Questions
Related Calculators
Recommended tools and calculators tailored to your current calculation
Greatest Common Divisor (GCD) & Least Common Multiple (LCM) Calculator
Calculate the Greatest Common Divisor (GCD/GCF) and Least Common Multiple (LCM) using Euclidean algorithm principles to simplify fractions and synchronize periodic cycles.
Roman Numerals to Arabic Numbers Converter & Parser (I, V, X, L, C, D, M)
Convert standard decimal numbers to classical Roman Numerals (and vice-versa) with place-value decomposition into thousands, hundreds, tens, and units.
Prime Number Checker & Prime Factorization Calculator
Test if any integer is Prime or Composite, compute prime factorization decomposition, and determine the trial division square root bound.
Date Duration, Calendar Days & Workdays Counter Calculator
Calculate date duration breakdown into exact calendar days, weeks, calendar months, Gregorian years, net 5-day workdays, and total elapsed hours for project management.
Percentage Increase, Decrease & Change Calculator ((New-Old)/Old × 100)
Calculate percentage increase, percentage decrease, absolute difference, growth rate, and ratio between two numerical values with step-by-step mathematical breakdown.
Time Duration, Decimal Hours & Hourly Wage Calculator (HH:MM:SS)
Convert hours, minutes, and seconds into exact decimal hours, total minutes, and total seconds alongside billing wage earnings for payroll and freelancer timesheets.
Digital Storage & Internet Speed Converter (GB, TB, MB, KB, Mbps, MB/s)
Convert across digital data storage capacities and network transfer rates: Gigabytes (GB), Terabytes (TB), Megabytes (MB), Kilobytes (KB), Bits, and Megabits per second (Mbps).
Scientific Notation & Standard Form Converter Calculator (a × 10ⁿ)
Perform multiplication, division, and conversions between standard decimal numbers and scientific exponential notation (a × 10ⁿ) with positive and negative powers of ten.