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HomemathFraction Calculator

Fraction Calculator

Add, subtract, multiply, and divide fractions. Simplify results to lowest terms automatically.

Add, subtract, multiply, and divide fractions — results automatically simplify to lowest terms and display as mixed numbers when appropriate. Eliminates common denominator mistakes and arithmetic errors.

Fractions appear in recipes, construction measurements, sewing patterns, music theory, and elementary through middle school math. This tool shows step-friendly results for learning and verification.

Enter whole numbers, proper fractions, or mixed numbers. The calculator handles negative values and reduces fractions like 6/8 to 3/4 automatically.

Free, instant, no account. Students can check homework; cooks can scale recipes.

Formula

a/b ± c/d = (ad ± bc) / bd · a/b × c/d = ac/bd · a/b ÷ c/d = ad/bc

Common Uses

  • Homework verification
  • Recipe scaling with fractional cups
  • Construction fractional inch math
  • Simplify fractions to lowest terms
  • Convert improper fractions to mixed numbers

How to Use the Fraction Calculator

  1. 1

    Enter first fraction

    Input the numerator and denominator of the first fraction.

  2. 2

    Choose operation

    Select add, subtract, multiply, or divide.

  3. 3

    Enter second fraction

    Input the numerator and denominator of the second fraction.

  4. 4

    View simplified result

    See the result automatically simplified to lowest terms.

💡 Tips & Tricks

  • Always simplify your answer by dividing by the GCD of numerator and denominator.
  • Convert mixed numbers to improper fractions before calculating.
  • Use the GCD calculator to help simplify fractions manually.

Frequently Asked Questions

How do I add fractions with different denominators?
Find the least common denominator (LCD), convert both fractions to equivalent fractions with the LCD, then add the numerators.
How do I simplify a fraction?
Divide both the numerator and denominator by their greatest common divisor (GCD). The result is the fraction in its simplest form.
How do I multiply fractions?
Multiply the numerators together and the denominators together. Then simplify the result. For example, 2/3 × 3/4 = 6/12 = 1/2.
How do I divide fractions?
Multiply the first fraction by the reciprocal of the second. For example, 2/3 ÷ 4/5 = 2/3 × 5/4 = 10/12 = 5/6.