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Fraction Calculator - Add, Subtract, Multiply, Divide Fractions

How the Fraction Calculator Works

Addition: a/b + c/d = (ad + bc) / bd | Multiplication: a/b x c/d = ac / bd

A fraction represents a part of a whole, consisting of a numerator (top number) and denominator (bottom number). This calculator performs arithmetic operations on fractions and automatically simplifies results.

  1. 1

    Enter First Fraction

    Input the numerator and denominator for the first fraction

  2. 2

    Enter Second Fraction

    Input the numerator and denominator for the second fraction

  3. 3

    Select Operation

    Choose the operation: add, subtract, multiply, or divide

  4. 4

    View Result

    The result displays in simplified form and as a decimal

Use Cases

Cooking and Recipes

Scale recipe ingredients up or down by multiplying or dividing fractions

Construction and DIY

Calculate precise measurements for materials using fractional inches

Education

Practice fraction arithmetic and verify homework answers

Financial Calculations

Compute fractional shares, ratios, and proportional allocations

Tips

  • 1

    Always simplify fractions by dividing numerator and denominator by their GCD

  • 2

    Find a common denominator before adding or subtracting fractions

  • 3

    To divide fractions, flip the second fraction and multiply

  • 4

    Convert improper fractions to mixed numbers for clearer representation

Common Mistakes

  • Adding numerators and denominators separately - must find common denominator first

  • Forgetting to flip the second fraction when dividing - (a/b) / (c/d) = (a/b) x (d/c)

  • Not simplifying the final result - always reduce to lowest terms

  • Confusing fractions with ratios - 3/4 means 3 out of 4 parts, while 3:4 compares two quantities

FAQs

How do I add fractions with different denominators?

Find the least common denominator (LCD), convert each fraction, then add the numerators. Example: 1/3 + 1/4 = 4/12 + 3/12 = 7/12.

How do I convert a fraction to a decimal?

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

What is an improper fraction?

An improper fraction has a numerator greater than or equal to its denominator (like 7/4). It can be written as a mixed number: 7/4 = 1 3/4.

How do I simplify a fraction?

Divide both numerator and denominator by their greatest common divisor. Example: 12/18 / 6 = 2/3.

How do I multiply fractions?

Multiply numerators together and denominators together. Example: 2/3 x 4/5 = 8/15.