Fraction Calculator
Fractions, Mixed Numbers, Simplification, and Conversion
What Can this Calculator Do?
- Perform addition, subtraction, multiplication, and division on fractions and mixed numbers
- Simplify fractions instantly
- Convert decimals to fractions, and fractions to decimals
- Show step-by-step solution breakdowns for improved learning
Fraction & Mixed Number Calculator
Fractions & Mixed Numbers: Concepts & Tips
A fraction represents part of a whole and is written as numerator/denominator, for example, 3/4. A mixed number has a whole part and a fraction part, like 2⅔.
Add/Subtract: Make denominators the same, then add or subtract the numerators.
Example: 1/3 + 1/6 = (2/6) + (1/6) = 3/6 = 1/2
Multiply: Multiply numerators together, multiply denominators together.
Example: 2/5 × 3/7 = 6/35
Divide: Multiply by the reciprocal of the divisor.
Example: 3/4 ÷ 2/5 = 3/4 × 5/2 = 15/8 = 1⅞
Simplifying Fractions: Divide numerator and denominator by their greatest common divisor (GCD).
Example: 12/18 = (12÷6)/(18÷6) = 2/3
Mixed Numbers to Improper Fractions: Multiply whole number by denominator, add the numerator, put over the denominator.
Example: 2 1/4 = (2×4)+1 = 9/4
If unsure, remember: improper fractions (numerator larger than denominator) and mixed numbers are equal representations.
Fraction to Decimal: Divide numerator by denominator (e.g., 3/8 = 0.375).
Decimal to Fraction: Write in fraction form and reduce (e.g., 0.375 = 375/1000 = 3/8).
Fraction Calculator – Add, Subtract, Multiply & Divide Fractions Instantly
Fractions don’t have to be frustrating. Whether you’re a student, teacher, parent, or math enthusiast, our Fraction Calculator simplifies even the trickiest fraction problems in seconds. Easily perform addition, subtraction, multiplication, or division of fractions—with step-by-step breakdowns and simplified answers.
🧠 What Is a Fraction Calculator?
A Fraction Calculator is a digital math tool that performs operations on fractions such as:
- ➕ Addition
- ➖ Subtraction
- ✖️ Multiplication
- ➗ Division
It also simplifies complex fractions, converts between improper and mixed numbers, and finds common denominators automatically.
📊 Fraction Operations Explained
| Operation | Example | Result |
|---|---|---|
| Addition | 1/2 + 2/3 | 7/6 or 1 1/6 |
| Subtraction | 3/4 – 1/5 | 11/20 |
| Multiplication | 2/3 × 4/5 | 8/15 |
| Division | 5/6 ÷ 2/3 | 15/12 or 1 1/4 |
Our calculator automatically simplifies the final answer.
🔢 Example Calculation
Problem: 3/4 + 5/6
Step 1: Find common denominator → LCM of 4 & 6 = 12
Step 2: Convert
- 3/4 = 9/12
- 5/6 = 10/12
Step 3: Add → 9/12 + 10/12 = 19/12 = 1 7/12
✅ Final Answer: 1 7/12
🛠️ Features of the Fraction Calculator
- 🔁 Convert improper to mixed numbers (and vice versa)
- ➗ Auto-simplifies answers
- ✅ Supports negative fractions and whole numbers
- 📱 Mobile-friendly for students on the go
- 🧮 Shows steps for full understanding
🧑🏫 Who Should Use This Tool?
- 🎓 Students from grade school to college
- 👩🏫 Teachers preparing lessons
- 👨👩👧 Parents helping with homework
- 👷 Engineers needing quick math
- 🧁 Cooks adjusting recipes with fractional measurements
🔥 Features Included
- Fraction calculator
- Add fractions calculator
- Simplify fractions online
- Multiply and divide fractions
- Mixed number calculator
- Improper fraction to mixed number
- Step-by-step fraction solver
- Fraction to decimal converter
🧭 Related Tools on Desmos Calculators
- Decimal to Fraction Calculator – convert recurring decimals into precise fractions
- Percent Calculator – work with percentages easily
- Scientific Calculator – more advanced math functions
🔗 External References
✅ Final Thoughts
The Fraction Calculator takes the confusion out of fractions and makes solving them fast, accurate, and even fun. Whether you’re preparing for exams, adjusting recipes, or solving real-world problems, this tool is here to help you get the job done—without error or stress.
➗ Try it now and turn fractional confusion into full confidence!