Fraction Calculator
Quickly calculate fraction operations including addition, subtraction, multiplication, and division. This tool is designed for students, teachers, and everyday users needing fast, accurate solutions—instantly.
Enter fractions as mixed numbers (whole + numerator/denominator) or simple fractions (numerator/denominator)
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How It Works
Understanding Fractions
A fraction represents a part of a whole. It consists of a numerator (top number) and a denominator (bottom number). The numerator represents how many parts we have, while the denominator represents the total number of equal parts in the whole.
For example, in the fraction 3/4, the numerator is 3, and the denominator is 4. This means we have 3 parts out of a total of 4 equal parts, or three-quarters of the whole.
Types of Fractions
Proper Fractions
The numerator is less than the denominator (e.g., 3/4, 1/2).
Improper Fractions
The numerator is greater than or equal to the denominator (e.g., 5/4, 7/3).
Mixed Numbers
A whole number and a proper fraction (e.g., 1 1/2, 2 3/4).
Fraction Operations
Addition and Subtraction
To add or subtract fractions, you need a common denominator. Convert each fraction to an equivalent fraction with the same denominator, then add or subtract the numerators.
1/4 + 3/4 = 4/4 = 1
3/4 - 1/4 = 2/4 = 1/2
Multiplication
To multiply fractions, multiply the numerators together and the denominators together, then simplify if possible.
2/3 × 3/4 = 6/12 = 1/2
Division
To divide fractions, multiply the first fraction by the reciprocal of the second fraction (flip the numerator and denominator of the second fraction).
2/3 ÷ 3/4 = 2/3 × 4/3 = 8/9
Real-Life Applications of Fractions
Fractions are used in daily life in various ways:
- Cooking and baking (measuring ingredients)
- Telling time (quarters and halves of hours)
- Construction and carpentry (measurements)
- Financial calculations (interest rates, discounts)
- Music (time signatures, note durations)
- Probability and statistics