Very large integers ke liye BigInt operations use kiye gaye hain.
Addition/Subtraction: Find common denominator using LCM, convert fractions, add/subtract numerators, simplify.
Example: 3/4 + 1/6 = (3×6)/(4×6) + (1×4)/(6×4) = 22/24 = 11/12
Multiplication: Multiply numerators and denominators, then simplify.
Example: 3/4 × 1/6 = (3×1)/(4×6) = 3/24 = 1/8
Division: Multiply by the reciprocal of the second fraction.
Example: 3/4 ÷ 1/6 = 3/4 × 6/1 = 18/4 = 9/2
Simplification: Divide numerator and denominator by their GCD.
Example: 220/440 → GCD=220 → 220÷220/440÷220 = 1/2
Decimal Conversion: For fraction to decimal, divide numerator by denominator. For decimal to fraction, use continued fractions or direct method for terminating decimals.
Example: 0.1234 = 1234/10000 = 617/5000
Fractions play a vital role in everyday math, from splitting recipes to sharing costs. But handling them manually, especially with mismatched denominators, can be tricky and time-consuming.
Our Fraction Calculator streamlines this process, allowing you to simplify, add, subtract, multiply, divide, or convert fractions to decimals with just a few clicks. It’s designed for quick, error-free results in real-world and educational settings.
A Fraction Calculator is a digital tool that performs operations on fractions, making complex calculations straightforward. It handles:
Unlike manual methods, it automates finding common denominators and reducing results, saving effort while ensuring precision.
Simplifying Fractions: Divides numerator and denominator by their greatest common divisor (GCD). Example: 24/36 simplifies to 2/3.
Adding Fractions:
Formula: a/b + c/d = (a*d + b*c) / (b*d)
Example: 2/3 + 1/4 = (8 + 3)/12 = 11/12
Subtracting Fractions:
Formula: a/b - c/d = (a*d - b*c) / (b*d)
Example: 3/4 - 1/2 = (3*2 - 4*1)/8 = 2/8 = 1/4
Multiplying Fractions:
Formula: a/b * c/d = (a*c) / (b*d)
Example: 2/3 * 1/4 = 2/12 = 1/6
Dividing Fractions:
Formula: a/b ÷ c/d = a/b * d/c = (a*d) / (b*c)
Example: 2/3 ÷ 1/4 = 2/3 * 4/1 = 8/3
Fraction to Decimal:
Divides numerator by denominator. Example: 3/4 = 0.75
The tool processes these operations automatically, handling mixed numbers and negative fractions too.
Results appear in fraction, decimal, and percentage formats for full understanding.
Q1: Does it support mixed fractions?
✅ Yes, enter numbers like 2 1/2 for mixed fractions.
Q2: Can it convert to percentages?
✅ Yes, e.g., 3/4 = 75%.
Q3: Is it good for students?
✅ Absolutely, it verifies answers and teaches fraction rules.
Q4: Does it handle decimals?
✅ Yes, it converts fractions to decimals seamlessly.
Q5: Can it work with negative fractions?
✅ Yes, it supports negatives for all operations.
Fractions represent parts of a whole, like 1/2 meaning one part out of two. They’re essential in math and life, but operations like adding with different denominators require finding a common base (LCM). Simplifying uses the GCD to reduce terms.
Fractions are fundamental to math and daily tasks, but our Free Fraction Calculator makes them effortless. Simplify, operate, or convert fractions accurately and quickly for any need.
🚀 Try our Fraction Calculator now!
This content is independently researched and authored by me, based on mathematical principles of fractions.