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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.

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Result

Simplified Fraction:5/6
Decimal:0.8333

Solution Steps:

  1. 1.Find common denominator: 6
  2. 2.Convert fractions: 3/6 + 2/6
  3. 3.Add numerators: 5/6

Practical Examples

Case 1: Recipe Scaling

Original Recipe: 3/4 cup flour
Scale Factor: 2/3 (smaller batch)
Calculation: 3/4 × 2/3 = 6/12 = 1/2
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
Calculation: 5/8 + 3/8 = 8/8 = 1
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
Solution: 8/12 + 3/12 = 11/12 cup
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
Solution: 6/12 = 1/2 square inch
Use: Cross-sectional area

Common Use: Calculating areas, volumes, or material requirements in construction and woodworking.

Frequently Asked Questions

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