Fraction Calculator
Quickly add, subtract, multiply, and divide fractions with step-by-step solutions. See simplified results, decimal equivalents, and mixed numbers automatically calculated for better understanding.
Result
Simplified Fraction:5/6
Decimal:0.8333
Solution Steps:
- 1.Find common denominator: 6
- 2.Convert fractions: 3/6 + 2/6
- 3.Add numerators: 5/6
Practical Examples
Case 1: Recipe Scaling
Original Recipe: 3/4 cup flour
Scale Factor: 2/3 (smaller batch)
Scale Factor: 2/3 (smaller batch)
Calculation: 3/4 × 2/3 = 6/12 = 1/2
Result: 1/2 cup flour needed
Result: 1/2 cup flour needed
Use Case: Essential for cooking and baking when adjusting recipe portions
Case 2: Construction Materials
Board Length: 5/8 inch thick
Additional Layer: 3/8 inch
Additional Layer: 3/8 inch
Calculation: 5/8 + 3/8 = 8/8 = 1
Total Thickness: 1 inch
Total Thickness: 1 inch
Use Case: Critical for carpentry and construction measurements
Fraction Types
Proper Fractions1/2, 3/4, 5/8
Numerator < Denominator
- • Value is less than 1
- • Represents part of a whole
- • Cannot be simplified to mixed numbers
Improper Fractions7/4, 9/2, 11/3
Numerator ≥ Denominator
- • Value is greater than or equal to 1
- • Can be converted to mixed numbers
- • Represents more than one whole
Operation Methods
Addition & Subtraction
Find common denominator, then add/subtract numerators
- • Example: 1/3 + 1/4 = 4/12 + 3/12 = 7/12
Multiplication
Multiply numerators and denominators directly
- • Example: 2/3 × 3/4 = 6/12 = 1/2
Division
Multiply by the reciprocal (flip second fraction)
- • Example: 2/3 ÷ 3/4 = 2/3 × 4/3 = 8/9
Example Cases
Example 1: Recipe Scaling
Problem: 2/3 cup + 1/4 cup
Application: Combining ingredients
Application: Combining ingredients
Solution: 8/12 + 3/12 = 11/12 cup
Use: Total amount needed
Use: Total amount needed
Common Use: Kitchen measurements when following recipes or scaling portions for more servings.
Example 2: Construction Materials
Problem: 3/4 inch × 2/3 inch
Application: Board dimensions
Application: Board dimensions
Solution: 6/12 = 1/2 square inch
Use: Cross-sectional area
Use: Cross-sectional area
Common Use: Calculating areas, volumes, or material requirements in construction and woodworking.