Fraction Inputs
- 1Enter the numerator and denominator for Fraction 1.
- 2Select the desired arithmetic operator (+, −, ×, ÷) from the dropdown.
- 3Enter the numerator and denominator for Fraction 2.
- 4View the exact reduced fraction result and its decimal equivalent below.
A fraction represents a numerical part of a whole. The top number (numerator) indicates how many equal parts you have, while the bottom number (denominator) indicates the total number of equal parts that make up one whole.
Find a common denominator then add the numerators.
(a/b) + (c/d) = (a·d + b·c) / (b·d) | Example: 1/3 + 1/6 = (6 + 3)/18 = 9/18 = 1/2Find a common denominator then subtract the numerators.
(a/b) - (c/d) = (a·d - b·c) / (b·d) | Example: 3/4 - 1/2 = (6 - 4)/8 = 2/8 = 1/4Multiply numerators together and denominators together.
(a/b) × (c/d) = (a·c) / (b·d) | Example: 2/3 × 3/4 = 6/12 = 1/2Multiply by the reciprocal (flip the second fraction).
(a/b) ÷ (c/d) = (a·d) / (b·c) | Example: (1/2) ÷ (3/4) = 4/6 = 2/3(1 × 2 + 1 × 1) / 6 = 3/6 = 1/2(3/4) ÷ (2/1) = (3 × 1) / (4 × 2) = 3/8(2 × 3) / (3 × 4) = 6/12, simplified by GCD 6 = 1/2- Automatic Simplification: The calculator automatically reduces fractions to lowest integer terms using the Greatest Common Divisor (GCD).
- Zero Denominator: The denominator of a fraction cannot be 0 because division by zero is mathematically undefined.
- Decimal Conversion: Every fraction can be converted to a decimal by dividing the numerator by the denominator (e.g. 3/4 = 0.75).
How do I add fractions with different denominators?
Find a common denominator by multiplying the denominators, convert each numerator proportionally, add the numerators together, and simplify the result.
How do I divide one fraction by another?
Invert (flip) the second fraction to get its reciprocal, then multiply the first fraction by this reciprocal.
What is a simplified or reduced fraction?
A fraction is simplified when its numerator and denominator share no common factors other than 1 (e.g., 4/8 simplifies to 1/2).
What is the difference between proper and improper fractions?
A proper fraction has a numerator smaller than its denominator (e.g. 3/5). An improper fraction has a numerator equal to or greater than its denominator (e.g. 7/4).