Advanced Fraction Calculator

Add, Subtract, Multiply, and Divide Fractions

Perform fraction operations with step-by-step solutions

Enter fraction (a/b), mixed number (c a/b), or decimal (0.75)
Invalid fraction format
Enter fraction (a/b), mixed number (c a/b), or decimal (0.75)
Invalid fraction format

Result:

Calculation Steps:

    Enter fraction (a/b), mixed number (c a/b), or decimal (0.75)
    Invalid fraction format
    Enter fraction (a/b), mixed number (c a/b), or decimal (0.75)
    Invalid fraction format

    Result:

    Calculation Steps:

      Enter fraction (a/b), mixed number (c a/b), or decimal (0.75)
      Invalid fraction format
      Enter fraction (a/b), mixed number (c a/b), or decimal (0.75)
      Invalid fraction format

      Result:

      Calculation Steps:

        Enter fraction (a/b), mixed number (c a/b), or decimal (0.75)
        Invalid fraction format
        Enter fraction (a/b), mixed number (c a/b), or decimal (0.75)
        Invalid fraction format

        Result:

        Calculation Steps:

          Enter fraction (a/b), mixed number (c a/b), or decimal (0.75)
          Invalid fraction format

          Simplified Fraction:

          Simplification Steps:

            Enter fraction (a/b), mixed number (c a/b), or decimal (0.75)
            Invalid fraction format

            Conversion Result:

            Conversion Steps:

              Calculation History

              Fraction Calculator FAQs

              How do you add fractions?

              To add fractions: 1) Find a common denominator, 2) Convert both fractions to equivalent fractions with the common denominator, 3) Add the numerators, 4) Simplify the result if possible.

              How do you multiply fractions?

              Multiply the numerators together and the denominators together. Then simplify the resulting fraction if possible.

              What does it mean to simplify a fraction?

              Simplifying a fraction means reducing it to its lowest terms by dividing both numerator and denominator by their greatest common divisor (GCD).

              How do you convert a fraction to a decimal?

              Divide the numerator by the denominator. For example, 3/4 = 3 ÷ 4 = 0.75.

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              Fraction Calculator Guide

              What is a Fraction?

              A fraction represents a part of a whole or, more generally, any number of equal parts. A fraction consists of a numerator displayed above a line, and a denominator displayed below that line.

              For example:

              • 1/2 represents one half
              • 3/4 represents three quarters
              • 2/3 represents two thirds

              Fractions are used in many areas of mathematics and everyday life, especially for representing parts of a whole, ratios, and division.

              Types of Fractions

              • Proper fractions - Numerator is less than denominator (e.g., 3/4)
              • Improper fractions - Numerator is greater than denominator (e.g., 5/3)
              • Mixed numbers - Combination of whole number and fraction (e.g., 1 1/2)
              • Equivalent fractions - Different fractions representing the same value (e.g., 1/2 and 2/4)

              Fraction Operations

              1. Adding Fractions

              a/b + c/d = (ad + bc)/bd

              Example: 1/4 + 1/2 = (1×2 + 1×4)/(4×2) = 6/8 = 3/4

              2. Subtracting Fractions

              a/b - c/d = (ad - bc)/bd

              Example: 1/2 - 1/4 = (1×4 - 1×2)/(2×4) = 2/8 = 1/4

              3. Multiplying Fractions

              a/b × c/d = (a×c)/(b×d)

              Example: 2/3 × 3/4 = (2×3)/(3×4) = 6/12 = 1/2

              4. Dividing Fractions

              a/b ÷ c/d = (a×d)/(b×c)

              Example: 2/3 ÷ 3/4 = (2×4)/(3×3) = 8/9