Fraction Calculator

Fraction Calculator
Fraction 1
Fraction 2
Result
Mixed Number
3/4
Improper Fraction
3/4
Decimal Equivalent
0.75

What Is a Fraction Calculator?

A fraction calculator is an essential math utility designed to perform operations like addition, subtraction, multiplication, and division on fractions and mixed numbers. It simplifies complex expressions into simplified proper fractions, mixed numbers, and decimal equivalents.

Fraction Operations Overview

  • Addition: a/b + c/d = (ad + bc) / bd
  • Subtraction: a/b - c/d = (ad - bc) / bd
  • Multiplication: a/b × c/d = ac / bd
  • Division: a/b ÷ c/d = ad / bc

Frequently Asked Questions

How do you add or subtract fractions with different denominators?

To add or subtract fractions with different denominators, first find the Least Common Denominator (LCD). Convert each fraction to an equivalent fraction with the LCD as its denominator, perform the operation on the numerators, and simplify the resulting fraction to lowest terms.

What is the difference between a proper, improper, and mixed fraction?

A proper fraction has a numerator smaller than its denominator (e.g., 3/4). An improper fraction has a numerator equal to or greater than its denominator (e.g., 7/4). A mixed fraction (or mixed number) combines a whole number with a proper fraction (e.g., 1 3/4).

How do you multiply and divide fractions?

To multiply fractions, multiply the numerators together and the denominators together. To divide fractions, multiply the first fraction by the reciprocal (flip) of the second fraction.

Does this calculator simplify fractions automatically?

Yes. All results are automatically reduced to their simplest proper form or mixed number format using the Greatest Common Divisor (GCD).

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Features & Highlights

  • Add, Subtract, Multiply, Divide
  • Mixed & Improper Formats
  • Decimal Equivalent Output