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Add, subtract, multiply, and divide fractions with step-by-step solutions. Convert fractions to decimals, percentages, and mixed numbers. Simplify fractions to lowest terms instantly.
Added 1/2 and 1/4 to get 3/4
a/b + c/d = (ad + bc) / bd1/2 + 1/4LCD of 2 and 4 = 42/4 + 1/42 + 1 = 3This calculator provides mathematical calculations for educational and informational purposes. Always verify important calculations.
Results are automatically simplified to lowest terms. Decimal values may be rounded for display.
A fraction calculator is a mathematical tool that helps you perform arithmetic operations with fractions quickly and accurately. Fractions are used in everyday life—from cooking and construction to finance and science. Our calculator supports all basic operations (addition, subtraction, multiplication, division), simplification to lowest terms, and conversion between different formats. Each calculation includes step-by-step solutions to help you understand the process.
Our fraction calculator provides six powerful operations:
Addition – Add fractions with different denominators using LCD (Least Common Denominator)
Subtraction – Subtract fractions with step-by-step solutions
Multiplication – Multiply numerators and denominators directly
Division – Flip and multiply (multiply by reciprocal)
Simplification – Reduce fractions to lowest terms using GCD
Conversion – Convert between decimals, percentages, mixed numbers, and improper fractions
a/b + c/d = (ad + bc) / bdExample: 1/2 + 1/4 = (1×4 + 1×2) / (2×4) = 6/8 = 3/4
a/b - c/d = (ad - bc) / bdExample: 3/4 - 1/2 = (3×2 - 1×4) / (4×2) = 2/8 = 1/4
a/b × c/d = (a × c) / (b × d)Example: 2/3 × 3/4 = (2×3) / (3×4) = 6/12 = 1/2
a/b ÷ c/d = a/b × d/c = (a × d) / (b × c)Example: 1/2 ÷ 1/4 = 1/2 × 4/1 = 4/2 = 2
To add fractions with different denominators, first find the Least Common Denominator (LCD). Convert each fraction to an equivalent fraction with the LCD, then add the numerators while keeping the denominator. For example, 1/2 + 1/3: LCD is 6, so 3/6 + 2/6 = 5/6.
A mixed number combines a whole number with a proper fraction. For example, 2 3/4 means 2 whole units plus 3/4. To calculate with mixed numbers, convert them to improper fractions first: 2 3/4 = (2×4 + 3)/4 = 11/4.
To simplify a fraction, find the Greatest Common Divisor (GCD) of the numerator and denominator, then divide both by this number. For example, to simplify 12/18: GCD of 12 and 18 is 6, so 12/18 = 2/3.
An improper fraction has a numerator larger than or equal to its denominator, like 7/4 or 5/5. These can be converted to mixed numbers: 7/4 = 1 3/4. Despite the name, improper fractions are perfectly valid and often easier to use in calculations.
Divide the numerator by the denominator. For example, 3/4 = 3 ÷ 4 = 0.75. Some fractions create repeating decimals, like 1/3 = 0.333... (repeating).
Convert the fraction to a decimal (divide numerator by denominator), then multiply by 100. For example, 3/4 = 0.75 = 75%. Alternatively, multiply the fraction by 100: (3/4) × 100 = 75%.
Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of a/b is b/a. So a/b ÷ c/d = a/b × d/c. This rule makes division straightforward once you understand it.
LCD stands for Least Common Denominator—the smallest number that both denominators divide into evenly. Find it by listing multiples of each denominator until you find a common one, or calculate LCM (Least Common Multiple). For 1/3 and 1/4, the LCD is 12.