All-in-One Fraction Calculator Tool
Simplify, convert between decimals and fractions, perform operations with mixed numbers, and handle big number fractions with our comprehensive calculator.
This advanced fraction calculator helps students, teachers, and professionals work with fractions in various forms. Whether you need to simplify a fraction, convert between decimals and fractions, or perform calculations with mixed numbers, this tool provides accurate results instantly.
Key Features
- Perform all basic arithmetic operations with fractions
- Shows results in simplified form
- Provides decimal equivalent of the result
- Step-by-step solution available for educational purposes
FAQ
The calculator finds a common denominator for addition and subtraction, then performs the operation on the numerators. For multiplication, it multiplies numerators and denominators directly. Division is performed by multiplying by the reciprocal of the second fraction.
The calculator will show an error message because division by zero is undefined in mathematics. Always ensure denominators are non-zero values.
Key Features
- Perform operations with mixed numbers and fractions
- Convert between mixed numbers and improper fractions
- Option to view step-by-step conversion process
- Handles negative mixed numbers correctly
FAQ
Mixed numbers are first converted to improper fractions before performing operations. For example, 2 1/2 becomes 5/2. After calculations, results are converted back to mixed numbers if appropriate.
Yes, you can enter negative values for the whole number part. The fraction part will automatically be treated as negative as well. For example, -1 1/2 is interpreted as -3/2.
Key Features
- Reduces fractions to lowest terms
- Shows the greatest common divisor (GCD) used
- Handles improper fractions and converts them to mixed numbers
- Works with negative fractions
FAQ
The calculator finds the greatest common divisor (GCD) of the numerator and denominator using the Euclidean algorithm, then divides both numbers by the GCD to get the simplified form.
The calculator will return the same fraction with a message indicating it's already simplified. For example, entering 3/4 will return "3/4 is already in simplest form."
Key Features
- Converts terminating decimals to exact fractions
- Option for exact conversion of repeating decimals
- Shows both improper fraction and mixed number results
- Handles negative decimals correctly
FAQ
When the "Exact conversion" option is checked, the calculator uses algebra to solve for the exact fractional representation of repeating decimals. For example, 0.333... becomes exactly 1/3.
The calculator can handle up to 15 decimal places accurately. For more precise conversions, consider using the exact repeating decimal option when appropriate.
Key Features
- Converts fractions to decimal representation
- Customizable decimal precision
- Identifies repeating decimal patterns
- Handles improper fractions and negative values
FAQ
The calculator identifies repeating patterns and displays them with a bar over the repeating digits. For example, 1/3 becomes 0.\overline{3}.
The calculator will show an error because division by zero is undefined. Always ensure the denominator is a non-zero value.
Key Features
- Handles very large numbers (up to 1000 digits)
- Performs all basic arithmetic operations
- Option to simplify results (using big number GCD)
- Shows decimal approximation for big number results
FAQ
The calculator can handle numbers with up to 1000 digits, which is sufficient for most practical purposes. For even larger numbers, specialized mathematical software may be needed.
The calculator uses an implementation of the Euclidean algorithm optimized for big numbers to find the greatest common divisor efficiently, even for very large values.
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