Fraction Calculator
Add, subtract, multiply, and divide fractions with automated simplification and mixed numbers.
Resulting Fraction
—
—
How to Calculate and Simplify Fractions
- Enter the numerator and denominator for both fractions.
- Select your operation: Addition (+), Subtraction (-), Multiplication (×), or Division (÷).
- View the simplified fraction, mixed fraction format, and decimal value.
Fraction Computation Logic
-
Addition:
(a/b) + (c/d) = (a·d + b·c) / (b·d) -
Subtraction:
(a/b) - (c/d) = (a·d - b·c) / (b·d) -
Multiplication:
(a/b) × (c/d) = (a·c) / (b·d) -
Division:
(a/b) ÷ (c/d) = (a·d) / (b·c)
Worked Numerical Solutions
-
Addition:
1/3 + 1/6 = 3/6which simplifies by GCD 3 to1/2 (0.5). -
Multiplication:
2/5 × 3/4 = 6/20which simplifies to3/10 (0.3).
Common Applications
- School mathematics and homework verification.
- Carpentry, woodworking, and fractional imperial measurements.
- Recipe ingredient conversions involving partial cups and spoons.
Frequently Asked Questions
What happens if a denominator is zero?
Division by zero is mathematically undefined. The calculator validates denominators and alerts you immediately.
Does the tool output mixed fractions?
Yes, improper fractions with numerators greater than denominators display both proper mixed and decimal forms.