Fraction Calculator
Add, subtract, multiply, and divide fractions with step-by-step solutions and detailed explanations.
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Test Your Skills
Practice fraction calculations and earn achievements
Practice Mode
- • Start with easier operations (+, -)
- • Smaller numbers (1-5)
- • No time pressure
- • Perfect for learning
Challenge Mode
- • All operations (+, -, ×, ÷)
- • Larger numbers (1-10)
- • 60-second time limit
- • Mistakes reduce time
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Understanding Fractions
A Comprehensive Guide to Fraction Calculations
Fractions are a fundamental concept in mathematics, representing parts of a whole. Whether you're working with measurements, recipes, or solving equations, understanding fractions is essential. This guide will help you master fraction calculations.
Adding Fractions
Learn how to add fractions with different denominators by finding common denominators.
Subtracting Fractions
Master the art of subtracting fractions, including handling mixed numbers and improper fractions.
Multiplying Fractions
Discover the straightforward method of multiplying fractions and simplifying the results.
Dividing Fractions
Learn the "keep, change, flip" method for dividing fractions and understand why it works.
Simplifying Fractions
Master the art of reducing fractions to their simplest form using the greatest common divisor.
Common Denominators
Learn how to find common denominators and convert fractions to equivalent forms.
Master Fraction Calculations with Real Examples
Learn step-by-step how to solve fraction problems with practical examples
1. Adding Fractions
1. Find a common denominator
2. Convert fractions to equivalent forms
3. Add the numerators
4. Simplify the result
Example:
1/4 + 1/2 = ?
Step 1: Common denominator is 4
Step 2: 1/4 + 2/4
Step 3: 3/4
Tip:
The least common denominator (LCD) is the smallest number that both denominators divide into evenly.
2. Subtracting Fractions
1. Find a common denominator
2. Convert fractions to equivalent forms
3. Subtract the numerators
4. Simplify the result
Example:
3/4 - 1/2 = ?
Step 1: Common denominator is 4
Step 2: 3/4 - 2/4
Step 3: 1/4
3. Multiplying Fractions
1. Multiply the numerators
2. Multiply the denominators
3. Simplify the result
Example:
1/2 × 2/3 = ?
Step 1: 1 × 2 = 2
Step 2: 2 × 3 = 6
Step 3: 2/6 = 1/3
4. Dividing Fractions
1. Keep the first fraction
2. Change division to multiplication
3. Flip the second fraction
4. Multiply and simplify
Example:
1/2 ÷ 1/4 = ?
Step 1: Keep 1/2
Step 2: Change ÷ to ×
Step 3: Flip 1/4 to 4/1
Step 4: 1/2 × 4/1 = 4/2 = 2
Tips & Best Practices for Fraction Calculations
Essential Tips:
- • Always simplify fractions to their lowest terms
- • Find the least common denominator for addition/subtraction
- • Cross-cancel when multiplying fractions
- • Remember to flip the second fraction when dividing
- • Convert mixed numbers to improper fractions first
Best Practices:
- • Show all steps in your calculations
- • Double-check your work
- • Use prime factorization for finding LCD
- • Keep track of negative signs
- • Practice with real-world examples
Real-Life Applications:
- • Cooking and recipes
- • Construction measurements
- • Time calculations
- • Financial calculations
- • Science experiments
Watch Out For:
- • Forgetting to find common denominators
- • Not simplifying final answers
- • Mixing up multiplication and division rules
- • Ignoring negative signs
- • Forgetting to convert mixed numbers