Add, subtract, multiply, and divide fractions with step-by-step solutions. Simplify fractions and convert between fractions and decimals.
Our advanced Fraction Calculator is an essential mathematical tool for students, teachers, engineers, and professionals working with fractional numbers in 2025. Whether you're simplifying complex fractions, performing fraction operations, converting between fractions and decimals, solving algebra problems, or working with mixed numbers, this calculator provides precise fraction calculations with step-by-step solutions.
Calculate fraction addition, subtraction, multiplication, division, simplification, decimal conversions, percentage equivalents, and mixed number operations with our comprehensive mathematics tool. Perfect for homework help, test preparation, engineering calculations, and everyday math problems.
Shows complete calculation process: Finding common denominators, cross-multiplication, simplification steps, and final reduction to lowest terms for learning and verification.
Handles proper fractions (3/4), improper fractions (11/4), mixed numbers (2¾), decimals (0.75), and percentages (75%) with automatic conversion between all formats.
Calculates with fractions of any size, handles negative fractions, works with complex fractions (fractions within fractions), and performs multiple operations in sequence.
Provides pie charts, fraction bars, and visual models to help understand fraction concepts, equivalent fractions, and operation results intuitively.
Used by students, teachers, parents, engineers, and professionals worldwide. No registration required - calculate fractions instantly with step-by-step solutions!
| Operation | Formula | Example | Result |
|---|---|---|---|
| Addition | a/b + c/d = (ad + bc)/bd | 1/2 + 1/3 | 5/6 |
| Subtraction | a/b - c/d = (ad - bc)/bd | 3/4 - 1/2 | 1/4 |
| Multiplication | a/b × c/d = ac/bd | 2/3 × 3/5 | 2/5 |
| Division | a/b ÷ c/d = a/b × d/c | 3/4 ÷ 2/3 | 9/8 = 1⅛ |
| Simplification | Find GCD of numerator & denominator | 8/12 (GCD=4) | 2/3 |
Steps: 1) Find the Least Common Denominator (LCD), 2) Convert each fraction to equivalent fractions with the LCD, 3) Add numerators, 4) Simplify. Example: 1/4 + 1/6. LCD = 12. Convert: 3/12 + 2/12 = 5/12. Our calculator shows all these steps automatically.
Proper fractions: Numerator < Denominator (e.g., 3/4). Improper fractions: Numerator ≥ Denominator (e.g., 5/4). Mixed numbers: Combine whole number and proper fraction (e.g., 1¼). Our calculator handles all three formats and converts between them automatically.
Divide both numerator and denominator by their Greatest Common Divisor (GCD). Example: Simplify 18/24. GCD of 18 and 24 is 6. 18÷6 = 3, 24÷6 = 4. Simplified fraction = 3/4. Our calculator finds the GCD automatically and shows the simplification process step-by-step.
To decimal: Divide numerator by denominator (3/4 = 3 ÷ 4 = 0.75). To percentage: Convert to decimal then multiply by 100 (3/4 = 0.75 = 75%). To fraction from decimal: Write decimal as fraction over 10, 100, 1000, etc., then simplify (0.625 = 625/1000 = 5/8). Our calculator provides all conversions automatically.
1/2
0.5
50%
1/3
0.333
33.3%
2/3
0.667
66.7%
1/4
0.25
25%
3/4
0.75
75%
1/5
0.2
20%
2/5
0.4
40%
3/5
0.6
60%