Fraction Calculator
Master fractions with our comprehensive calculator. Add, subtract, multiply, divide, simplify, and convert fractions with detailed step-by-step explanations. Perfect for students, teachers, and anyone working with fractions.
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Fraction Calculator Guide
Enter fractions using the numerator/denominator format. Click "Mixed Number" for whole number + fraction input. Select your operation and get instant results with detailed explanations.
How to Use
- Enter first fraction (numerator/denominator)
- Choose operation (+, -, ×, ÷)
- Enter second fraction
- Click Calculate for step-by-step solution
Understanding Fractions
Fractions are a fundamental concept in mathematics that represent parts of a whole. Whether you're dividing a pizza among friends or measuring ingredients for a recipe, fractions help us express quantities that aren't whole numbers. Our calculator makes working with fractions simple and educational.
Types of Fractions
Proper Fractions
Where the numerator is smaller than the denominator (like 3/4)
Improper Fractions
Where the numerator is larger than or equal to the denominator (like 7/4)
Mixed Numbers
A whole number combined with a proper fraction (like 1 3/4)
Why Fractions Matter
From cooking measurements to engineering calculations, fractions appear everywhere in real life. Understanding how to work with them opens up a world of precise calculations and problem-solving skills.
Fractions in Real Life
Cooking
Measuring ingredients like 1/2 cup flour or 3/4 teaspoon salt
Construction
Cutting materials to precise measurements
Time
Telling time like quarter past or half past
Money
Splitting bills or calculating discounts
Mastering Fraction Operations
Adding Fractions
When adding fractions, they need the same denominator. If they don't, find the least common multiple (LCM) of the denominators first.
Example: 1/4 + 1/6 = 3/12 + 2/12 = 5/12
Subtracting Fractions
Similar to addition, fractions need common denominators. Remember to subtract the numerators while keeping the denominator the same.
Example: 3/4 - 1/4 = 2/4 = 1/2
Multiplying Fractions
Multiplication is straightforward - multiply the numerators together and the denominators together.
Example: 1/2 × 3/4 = (1×3)/(2×4) = 3/8
Dividing Fractions
To divide fractions, multiply by the reciprocal of the second fraction (flip the numerator and denominator).
Example: 1/2 ÷ 1/4 = 1/2 × 4/1 = 4/2 = 2
Simplification is Key
Always simplify your final answer by finding the greatest common divisor (GCD) of the numerator and denominator. This gives you the fraction in its simplest form.