HomeMathFinanceHealthContact

Fraction Calculator

Add, subtract, multiply, divide fractions and simplify to lowest terms.

/
/

What is Fraction Calculator?

A fraction represents a part of a whole, expressed as one integer (numerator) divided by another (denominator). Fractions are essential in arithmetic, algebra, cooking measurements, probability calculations, and many fields of science and engineering.

Introduction

The Fraction Calculator on Calculator Expert performs all four arithmetic operations on fractions — addition, subtraction, multiplication, and division — and automatically simplifies the result to its lowest terms. It also converts fractions to decimals and mixed numbers.

Formula

Addition: a/b + c/d = (a×d + c×b) / (b×d) → simplify
Subtraction: a/b − c/d = (a×d − c×b) / (b×d) → simplify
Multiplication: a/b × c/d = (a×c) / (b×d) → simplify
Division: a/b ÷ c/d = (a×d) / (b×c) → simplify

Visual Chart

Reference Table

FractionDecimalPercentage
1/20.500050%
1/30.333333.33%
3/40.750075%
2/50.400040%
7/80.875087.5%

How to Use This Calculator

Enter your values in the empty input fields above and click "Calculate." All fields start empty so you can input any values you need. The result is displayed instantly with the working formula. Calculator Expert provides accurate, ad-free calculations for students, teachers, and professionals.

Methods

Method 1: LCD Method: Find the Least Common Denominator of both fractions, convert each to an equivalent fraction with that denominator, then add or subtract the numerators.

Method 2: Cross Multiplication Method: Multiply the numerator of each fraction by the denominator of the other, then combine. This avoids finding the LCD explicitly.

Limitations

Denominators cannot be zero. Very large numerators and denominators (over 10⁹) may cause precision issues. Mixed numbers must be converted to improper fractions before entry. The calculator works with integers only in numerator and denominator fields.

Ponderal Index Connection

In medical nutrition, fractions of macronutrients (carbohydrates, proteins, fats) are expressed as fractions of total caloric intake. For instance, a diet plan might specify that 3/10 of calories come from fat — a direct fraction application.

Practical Uses

Fractions are used in cooking recipes (½ cup, ¾ teaspoon), carpentry and measurement, probability theory, financial ratios, musical time signatures, and pharmaceutical dosage calculations.