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Fraction Calculator
Calculate with fractions, mixed numbers, and decimals
Enter fractions
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๐ก Share this calculation with others - they'll see the same values and results
๏ฟฝ Learn About Fractions
Master fraction concepts with step-by-step guides, real-world examples, and expert tips.
๐
Complete Fraction Guide
Master all fraction operations with real-world examples, tips, and common mistake solutions
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Decimal to Fraction
Convert decimals to fractions with automatic simplification and mixed number conversion
Coming Soon: Educational Guides
๐ How to Add Fractions
Step-by-step guide with common denominators
๐ Mixed Numbers Guide
Converting between mixed and improper fractions
โ ๏ธ Common Mistakes
Avoid typical fraction calculation errors
๐งฎ Simplifying Fractions
Reducing fractions to lowest terms
๐ Real World Examples
Fractions in cooking, construction, and more
๐ Word Problems
Solving fraction problems step-by-step
๐ Examples, Rules & Help
โกQuick Examples - Try These Calculations
๐How It Works
Understanding Fractions & Mixed Numbers
Proper: numerator < denominator (e.g., 3/4). Improper: numerator โฅ denominator (e.g., 7/4). Mixed numbers combine a whole and a fraction (e.g., 1 3/4).
Convert mixed to improper:
abcโaรc + bc
Common Denominators (Add/Subtract)
To add or subtract fractions, use a common denominator (often the LCM of denominators).
abยฑcd
=ad ยฑ bcbd
12+13=36+26
=56
Multiply, Divide, and Simplify
Multiply: multiply numerators and denominators, then simplify. Divide: multiply by the reciprocal of the second fraction.
abรcd=aรcbรd
abรทcd=abรdc=aรdbรc
๐Real-World Applications
๐ณ Recipe Scaling & Cooking
Double a recipe calling for 2/3 cup flour, or combine 1/4 cup + 3/8 cup of ingredients
๐จ Construction & Carpentry
Add lumber lengths like 2 3/4 inches + 1 5/8 inches, or find what's left from 8 1/2 feet
๐งต Sewing & Crafts
Calculate fabric needs: 1/2 yard + 3/4 yard, or divide 2 1/4 yards into equal pieces
๐ Home Improvement & DIY
Calculate pipe lengths like 3 1/2 feet + 2 3/4 feet, or find remaining material from 10 1/4 boards
โFrequently Asked Questions
Can I enter decimals in fractions?
Yes. Decimals like 0.5/1 or 1/2.5 are accepted โ we'll convert and simplify.
How do I type a mixed number?
Type a space between the whole and the fraction: for example, 2 1/3. Negative mixed numbers like -1 2/3 are also supported.
Why don't I see a result when dividing by zero?
Division by zero is undefined. If a denominator becomes 0 anywhere, the calculator will show an error and hide previous results.
What about negative denominators?
A negative denominator is equivalent to a negative numerator. We normalize signs and simplify the fraction.
Is there a character limit?
Yes โ expressions are limited to 30 characters to keep things fast and readable.
๐ฏCommon Use Cases
๐งฎ Classroom Practice
- โข Convert mixed โ improper
- โข Find common denominators
- โข Simplify using GCD
- โข Work with negative values
๐ฝ๏ธ Recipe Math
- โข Double or halve recipes
- โข Combine 1/4 cup + 2/3 cup
- โข Convert to mixed amounts
- โข Keep results simplified
๐ Everyday Measurements
- โข 3/8 in + 5/16 in
- โข Reduce to lowest terms
- โข Switch to decimals when needed
- โข Mixed number outputs
๐ฌ Labs & Ratios
- โข Multiply/divide fractions
- โข Use reciprocals for division
- โข Track units
- โข Avoid divide-by-zero
๐กCalculator Tips & Best Practices
โญSimplify When Possible
After each operation, reduce by the greatest common divisor (GCD).
๐Add/Subtract Needs a Common Denominator
Use the least common multiple (LCM) of denominators for fewer simplification steps.
๐กDivision = Multiply by Reciprocal
a/b รท c/d = a/b ร d/c. Then simplify.
โ ๏ธWatch for Zero Denominators
If any denominator is 0, the expression is invalid โ fix before proceeding.
๐Use Parentheses for Clarity
Group operations like (1/2 + 3/4) / 5.
๐ References & Further Reading
Concepts and practice for fraction operations
External Link
Note: These references provide additional mathematical context and verification of the formulas used in this calculator.