Fraction Calculator
Calculate fractions instantly. Add, subtract, multiply, divide, simplify fractions, convert fractions to decimals, and solve mixed fraction problems online.
Fraction arithmetic solves addition, subtraction, multiplication, and division of rational numbers $\frac{a}{b}$ by determining the Least Common Multiple (LCM) of denominators and reducing final results to lowest terms via the Euclidean Greatest Common Divisor (GCD) algorithm.
Add, subtract, multiply, divide, and simplify fractions instantly.
Rational Arithmetic & Euclidean GCD Reduction
Exact Rational Arithmetic (Integer GCD / LCM Reduction)Addition: $\frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd}$. Division: $\frac{a}{b} \div \frac{c}{d} = \frac{ad}{bc}$. Supports automatic conversion between proper fractions, improper fractions, mixed numbers, and IEEE 754 decimal equivalents.
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How the Fraction Calculator Works
Follow these simple steps to get accurate results instantly.
Enter Fractions
Enter two fractions such as 1/2 and 3/4.
Choose Operation
Select addition, subtraction, multiplication, or division.
Calculate
The calculator performs fraction arithmetic automatically.
View Results
Get simplified fractions, mixed fractions, and decimal values.
Fraction Calculator Formula
a/b + c/d = (ad + bc) / bd
Fractions are calculated by finding common denominators for addition and subtraction, and by multiplying numerators and denominators for multiplication and division.
Example Calculation
Input: 1/2 + 3/4
Output: 5/4 = 1.25
Common Uses
- • School Mathematics
- • Homework
- • Algebra
- • Engineering Calculations
- • Fraction Simplification
- • Decimal Conversion
Frequently Asked Questions
Verified answers to essential calculation and diagnostic questions.
A Fraction Calculator performs addition, subtraction, multiplication, division, and simplification of fractions.
Yes. The calculator automatically reduces fractions to their simplest form.
Yes. The calculator displays decimal equivalents alongside fraction results.
Yes. Mixed numbers and improper fractions can be converted automatically.
Written & maintained by Aditya Singh
Aditya Singh is a software engineer and the founder of DevCalc, based in Uttar Pradesh, India. He builds and maintains every calculator on this site, using standard, verified formulas — the same ones used by banks, institutions, and educators — with careful attention to accuracy. Read more about the author →