Free Online Fraction Calculator — Solve Fractions with Step-by-Step Solutions
Fraction Calculator makes adding, subtracting, multiplying, and dividing fractions effortless. Enter any fractions or mixed numbers and get instant results with detailed step-by-step breakdowns, automatic simplification, and decimal equivalents — all free, all private, all in your browser.
Calculate Fractions Instantly
Step-by-Step Solution
How to Use the Fraction Calculator
Enter First Fraction
Enter the numerator and denominator of the first fraction in the input fields. You can also enter a whole number for mixed fractions.
Select Operation
Select the mathematical operation you want to perform: addition, subtraction, multiplication, or division.
Enter Second Fraction
Enter the numerator and denominator of the second fraction. Add a whole number if it is a mixed fraction.
Click Calculate
Click the Calculate button to instantly get the result with a detailed step-by-step solution.
Copy or Reset
Copy the result for your use or click Reset to clear all fields and perform a new calculation.
Key Features of Our Fraction Calculator
100% Free Forever
Perform unlimited fraction calculations without any charges, subscriptions, or hidden fees. Completely free for everyone.
Mathematically Exact
Uses integer arithmetic and GCD algorithms to deliver precise results simplified to the lowest terms every time.
Instant Results
Get your fraction answer in under 100 milliseconds with detailed step-by-step solution breakdowns instantly.
Private and Secure
All calculations happen in your browser. No data leaves your device — no server, no cookies, no tracking.
No Signup Needed
Start calculating immediately without creating accounts, entering emails, or any registration process whatsoever.
Works on All Devices
Fully responsive design optimized for mobile phones, tablets, and desktops with touch-friendly 44px controls.
How Fraction Calculations Work
Addition: a/b + c/d = (a×d + b×c) / (b×d) Subtraction: a/b − c/d = (a×d − b×c) / (b×d) Multiplication: a/b × c/d = (a×c) / (b×d) Division: a/b ÷ c/d = (a×d) / (b×c)Calculation Components
- Numerator: The top number of a fraction that represents how many parts you have. In 3/4, the numerator is 3.
- Denominator: The bottom number of a fraction that represents the total number of equal parts. In 3/4, the denominator is 4.
- Mixed Number Conversion: A mixed number like 2 1/3 is converted to an improper fraction: (2 × 3 + 1) / 3 = 7/3 before calculation.
- Cross Multiplication: For addition and subtraction, cross multiplication is used to find a common denominator: (a×d ± b×c) / (b×d).
- GCD Simplification: The Greatest Common Divisor (GCD) is found using the Euclidean algorithm to reduce the result to lowest terms.
- Sign Handling: Negative signs are normalized to the numerator for clean display. A negative denominator is resolved by flipping both signs.
For example, if a student in India needs to add 1/3 and 2/5, the calculator cross-multiplies to get (1×5 + 3×2) / (3×5) = (5 + 6) / 15 = 11/15. The result is already in simplest form since GCD(11, 15) = 1. The step-by-step breakdown shows every part of this process clearly, making it an ideal study aid for Class 6 to Class 10 NCERT mathematics chapters on fractions.
Practical Fraction Calculation Examples
Recipe Scaling for Indian Cooking
Scenario: Priya in Mumbai needs to combine 3/4 cup of atta and 1/2 cup of maida for a recipe.
Input: 3/4 + 1/2
Result: 5/4 = 1 1/4 cups total flour needed
Use Case: Scaling recipes up or down for family gatherings and festivals like Diwali or Holi.
NCERT Math Homework Problem
Scenario: Arjun, a Class 7 student in Delhi, needs to solve 2 1/3 − 5/6 for his NCERT homework.
Input: 2 1/3 − 5/6
Result: 7/3 − 5/6 = 14/6 − 5/6 = 9/6 = 3/2 = 1 1/2
Use Case: Verifying homework answers and understanding the step-by-step solution process.
Land Area Division in India
Scenario: Ramesh in Karnataka wants to divide 7/8 acres of land equally among 2 family members.
Input: 7/8 ÷ 2/1
Result: 7/8 × 1/2 = 7/16 acres per person
Use Case: Property division calculations for agricultural land and family inheritance.
International DIY Woodworking
Scenario: James in the US needs to multiply 3/8 inch by 5/16 for a woodworking cut measurement.
Input: 3/8 × 5/16
Result: 15/128 inches ≈ 0.1172 inches
Use Case: Precision measurements in carpentry, construction, and engineering projects worldwide.
What Is the Fraction Calculator?
The Fraction Calculator is a free, browser-based mathematical tool designed to help students, teachers, engineers, cooks, and everyday users perform arithmetic operations on fractions quickly and accurately. Whether you are a Class 6 student working through NCERT fraction problems, a homemaker scaling a recipe, a carpenter measuring wood cuts, or a professional solving complex mathematical equations, this tool makes fraction arithmetic simple and transparent.
Unlike basic calculators that only show decimal answers, this Fraction Calculator provides the complete mathematical journey. You see every step of the calculation — from converting mixed numbers to improper fractions, finding common denominators, performing the operation, and simplifying the result to its lowest terms. This educational approach has made it a trusted resource for students across India preparing for school exams, competitive tests, and Olympiad competitions.
Built with expertise in mathematics education and web development, this tool follows E-E-A-T principles by providing accurate, transparent calculations that any user can verify. Every result is backed by the step-by-step solution, giving users confidence in the answer and helping them learn the mathematical process. The tool works entirely in your browser with no server dependency, ensuring both speed and complete privacy of your data.