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ToolPrime

Fraction Calculator

Perform arithmetic operations on fractions with step-by-step solutions. Convert between fractions, decimals, and percentages instantly.

Decimal to Fraction

How to Use the Fraction Calculator

  1. Enter the first fraction (numerator and denominator)
  2. Select an operation: add, subtract, multiply, or divide
  3. Enter the second fraction
  4. View the simplified result with decimal and percentage equivalents
  5. Follow the step-by-step solution to understand the math

What Is a Fraction Calculator?

A fraction calculator is a tool that performs arithmetic operations — addition, subtraction, multiplication, and division — on fractions and mixed numbers. It automatically finds the least common denominator (LCD) for addition and subtraction, computes results, and simplifies the answer to its lowest terms using the greatest common divisor (GCD).

Fractions appear everywhere: cooking recipes that call for three-quarters of a cup, woodworking measurements in sixteenths of an inch, financial calculations involving fractional shares, and math homework from elementary school through college. Our calculator shows every step of the solution process, making it both a quick computation tool and a learning aid that helps you understand the underlying math.

Popular Use Cases

Math Homework and Studying

Check your fraction arithmetic step by step. The calculator shows the LCD, conversion, and simplification so you can learn the process, not just the answer.

Cooking and Recipe Scaling

Double or halve recipes that use fractional measurements like 2/3 cup or 3/4 teaspoon without guessing or reaching for measuring spoons.

Woodworking and Construction

Add and subtract fractional inch measurements (e.g., 5/8 + 3/16) common in lumber dimensions, drill bit sizes, and building plans.

Finance and Fractional Shares

Calculate returns on fractional stock shares or split costs that do not divide evenly among participants.

Tips for Working with Fractions

Always Simplify Your Result

A fraction like 6/8 is correct but not in simplest form. Divide numerator and denominator by their GCD (2) to get 3/4. Our calculator does this automatically.

Convert Mixed Numbers First

Before performing operations on mixed numbers like 2 1/3, convert to an improper fraction (7/3). This avoids errors and makes the arithmetic straightforward.

Use Cross-Multiplication to Compare

To quickly check which of two fractions is larger, cross-multiply: for a/b vs c/d, compare a*d to c*b. The side with the larger product is the larger fraction.

Memorize Common Equivalents

Knowing that 1/4 = 0.25, 1/3 = 0.333, 1/2 = 0.5, 2/3 = 0.667, and 3/4 = 0.75 speeds up estimation and helps you spot errors quickly.

Frequently Asked Questions

How do I add fractions with different denominators?
Find the least common denominator (LCD), convert both fractions to use it, then add the numerators. Our calculator does this automatically and shows each step.
Can I convert decimals to fractions?
Yes! Enter a decimal number in the conversion tab and the calculator will show the equivalent fraction in its simplest form.
Does it simplify fractions automatically?
Yes, all results are automatically reduced to their simplest form using the greatest common divisor (GCD).

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