Fraction Calculator
Add, subtract, multiply, and divide fractions with step-by-step breakdowns and automatic simplification.
Configure Inputs
Dynamic Formula Guide & Calculations
1How the Formula Works Step-by-Step
This fraction calculator executes purely in your browser utilizing exact rational arithmetic. By finding the Least Common Multiple (LCM) for addition/subtraction and the Greatest Common Divisor (GCD) for simplification, it ensures mathematically perfect results without floating-point inaccuracies, before finally rendering decimal equivalents.
2Real-World Application & Practical Example
Example: Adding Mixed Numbers
Scenario: You need to add 1 1/2 and 3/4.
Steps:
- Toggle "Enable Mixed Numbers".
- In Fraction A, enter
1as the whole number,1as numerator, and2as denominator. - Set the operation to
+ (Add). - In Fraction B, leave whole number empty, enter
3as numerator, and4as denominator.
Result: The calculator converts 1 1/2 to 3/2, finds the common denominator (4), and calculates 6/4 + 3/4 = 9/4. It outputs the proper fraction 9/4, the mixed number 2 1/4, and the decimal 2.25.
!Common Calculations Mistakes to Avoid
- Incorrect Measurement Units: Ensure you don't mix up metric (meters, kg) and imperial (feet, lbs) inputs.
- Rounding Errors: Avoid rounding intermediate numbers before finishing the final equation.
- Confusing Proportions: Double check ratio terms and decimal places before clicking calculate.
- Input Overrides: Make sure no extra spaces or invalid characters are pasted inside numerical inputs.
Frequently Asked Questions
Can I use negative numbers?
Yes, you can enter a negative whole number or a negative numerator to represent a negative fraction.
Why do I see 'Denominator cannot be zero'?
In mathematics, division by zero is undefined. A fraction represents division, so the bottom number (denominator) must always be non-zero.
How does it simplify fractions?
It uses the Euclidean algorithm to find the Greatest Common Divisor (GCD) of the numerator and denominator, then divides both by that number to reduce the fraction to its simplest form.
Was this tool helpful?
Let us know how we can improve.
Related Calculators
Complementary tools designed to analyze, project, and calculate other closely connected values.