Fraction Calculator Online - Solve Fractions with Ease

Professional online fraction calculator to add, subtract, multiply, divide fractions, simplify fractions, calculate mixed numbers, and auto-reduce results

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First Fraction

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Simplified Fraction Form

Decimal Form

Fraction Text Form

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Fraction Calculator: Principles & Methods

A fraction consists of a numerator and a denominator, representing a part of a whole. This online fraction calculator can quickly perform addition, subtraction, multiplication, and division of fractions, and automatically reduce the result to its simplest form. Our fraction calc tool supports both proper fractions and mixed numbers, making subtracting fractions, adding fractions, and all other operations easy to solve.

Adding Fractions

To add fractions with a calculator for fractions, first find a common denominator, convert each fraction to have the same denominator, then add the numerators. Example: 1/2 + 1/3 = 3/6 + 2/6 = 5/6. For mixed numbers, convert them to improper fractions first: 1 1/2 + 2 1/3 = 3/2 + 7/3 = 9/6 + 14/6 = 23/6 = 3 5/6.

Subtracting Fractions

Substracting fractions follows the same common denominator rule as addition, then subtract the numerators. Example: 3/4 - 1/2 = 3/4 - 2/4 = 1/4. If the minuend is smaller than the subtrahend, the result will be negative: 1/3 - 1/2 = 2/6 - 3/6 = -1/6.

Multiplying Fractions

When using a calculator with fractions for multiplication, no common denominator is needed. Simply multiply the numerators together and the denominators together, then simplify. Example: 2/3 × 3/4 = (2×3)/(3×4) = 6/12 = 1/2. Mixed number example: 1 1/2 × 2 1/3 = 3/2 × 7/3 = 21/6 = 3 1/2.

Dividing Fractions

For fraction division with our fractions calculator, invert the divisor (find its reciprocal) and multiply. Example: 1/2 ÷ 3/4 = 1/2 × 4/3 = 4/6 = 2/3. Mixed number example: 2 1/2 ÷ 1 1/4 = 5/2 ÷ 5/4 = 5/2 × 4/5 = 20/10 = 2.

Simplifying Fractions (Reducing)

Simplifying a fraction means dividing both the numerator and denominator by their Greatest Common Divisor (GCD) to get the simplest form. Example: The GCD of 8/12 is 4, so 8/12 = (8÷4)/(12÷4) = 2/3. Our fraction solver automatically reduces all results to lowest terms.

Converting Mixed Numbers & Improper Fractions

Mixed number to improper fraction: Multiply the whole number by the denominator, add the numerator, keep the denominator. Example: 2 1/3 = (2×3+1)/3 = 7/3.
Improper fraction to mixed number: Divide numerator by denominator, the quotient is the whole number, remainder is the new numerator, keep the denominator. Example: 7/3 = 2 1/3.