Fraction Division Calculator
Calculates fraction division using the reciprocal method (Keep, Change, Flip). Simplifies results automatically using GCD logic.
About
Dividing fractions requires a specific sequence of operations often summarized as "Keep, Change, Flip." Students frequently forget to invert the second fraction or simplify the final result. This calculator enforces the correct order of operations. It visualizes the conversion of division into multiplication by the reciprocal. The tool then multiplies numerators and denominators respectively. Finally, it employs a Greatest Common Divisor (GCD) algorithm to reduce the fraction to its simplest form. Carpenters, chefs, and students rely on this for scaling measurements accurately.
Formulas
The fundamental rule for dividing rational numbers is multiplication by the reciprocal of the divisor.
Provided that b, c, d ≠ 0.
Reference Data
| Step | Action | Math Notation |
|---|---|---|
| 1. Keep | Retain the first fraction. | ab |
| 2. Change | Switch operator to multiply. | ÷ → × |
| 3. Flip | Invert second fraction (Reciprocal). | cd → dc |
| 4. Solve | Multiply across. | adbc |
| 5. Reduce | Simplify using GCD. | gcd(x, y) |