Fraction Calculator
“Our fraction calculator online helps you simplify, add, subtract, multiply and divide fractions instantly.” Enter fractions and select an operation to calculate
Result
Calculation Steps
Fraction Types
| Type | Description | Example |
|---|---|---|
| Proper Fraction | Numerator is less than denominator | 3/4 |
| Improper Fraction | Numerator is greater than or equal to denominator | 5/4 |
| Mixed Number | Whole number and a proper fraction combined | 1 1/4 |
| Equivalent Fractions | Different fractions that represent the same value | 1/2 = 2/4 = 3/6 |
| Reciprocal | Inverted fraction (numerator and denominator swapped) | Reciprocal of 3/4 is 4/3 |
Fraction Operations Formulas
Fraction Calculator Introduction
“Our fraction calculator online helps you simplify, add, subtract, multiply and divide fractions instantly.”The Fraction Calculator allows you to perform arithmetic operations (addition, subtraction, multiplication, and division) on fractions. It provides step-by-step solutions and converts the result to simplified form, decimal, and percentage.
What are Fractions?
Fractions represent parts of a whole. They consist of a numerator (top number) and a denominator (bottom number). The numerator represents how many parts we have, while the denominator represents how many equal parts the whole is divided into.
Understanding Fraction Operations
Each operation with fractions follows specific rules:
- Addition/Subtraction: Requires a common denominator
- Multiplication: Multiply numerators and denominators directly
- Division: Multiply by the reciprocal of the second fraction
Addition Examples
- 1/2 + 1/4 = 3/4
- 2/3 + 1/6 = 5/6
- 3/5 + 2/7 = 31/35
Multiplication Examples
- 1/2 × 1/3 = 1/6
- 2/5 × 3/4 = 3/10
- 4/7 × 2/3 = 8/21
Simplifying Fractions
A fraction is in simplest form when the numerator and denominator have no common factors other than 1. To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).
Converting Between Fractions and Decimals
To convert a fraction to a decimal, divide the numerator by the denominator. To convert a decimal to a fraction, write the decimal as a fraction with a denominator of 1, then multiply numerator and denominator by 10 for each decimal place, and simplify.
Common Fraction-Decimal Equivalents
| Fraction | Decimal | Percentage |
|---|---|---|
| 1/2 | 0.5 | 50% |
| 1/4 | 0.25 | 25% |
| 3/4 | 0.75 | 75% |
| 1/3 | 0.333... | 33.33% |
| 2/3 | 0.666... | 66.67% |
Limitations of Fraction Calculators
While fraction calculators provide accurate results for arithmetic operations, they may not handle very large numbers efficiently. For complex mathematical problems involving fractions, specialized mathematical software may be required.