Fraction Calculator
Add, subtract, multiply and divide fractions with simplified results and steps.
About Fraction Calculator
A fraction is simplified by dividing the numerator and denominator by their greatest common divisor (GCD). The result is the smallest whole-number ratio equal to the original.
Formulas
Simplified fraction
Simplified = (Numerator ÷ GCD) / (Denominator ÷ GCD)
- n
- Numerator
- d
- Denominator
- GCD(n,d)
- Greatest common divisor of numerator and denominator
Decimal and percentage
Decimal = Numerator ÷ Denominator; Percent = Decimal × 100
- n
- Numerator
- d
- Denominator
Worked example
With the default values below, Fraction Calculator returns Simplified Fraction of 3/4. Change any input above and every figure here is recalculated in your browser.
Inputs used
- Numeratoraccepts -1,000,000–1,000,000
- 18
- Denominatoraccepts -1,000,000–1,000,000
- 24
Results
- Simplified Fraction
- 3/4
- As Decimal
- 0.750000
- As Percentage
- 75.0000%
Step by step
- 1Identify the original fraction
- 2Find the GCD of numerator and denominator= 6
- 3Divide both parts by the GCD= 3/4
- 4Convert to decimal= 0.750000
- 5Convert to percentage= 75.0000%
Assumptions and limits
- The result is derived only from the 2 inputs listed above. Anything not among them is not part of the calculation.
- In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
- Figures are rounded for display to 6 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.
How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.
Frequently Asked Questions
What is a greatest common divisor?
The GCD is the largest number that divides both the numerator and denominator exactly. Dividing both by it reduces the fraction to lowest terms.
How do I convert a fraction to a percent?
Divide the numerator by the denominator to get a decimal, then multiply by 100. For example, 18/24 = 0.75 = 75%.