Fractions Calculator

  • Enter the numerator and denominator for both fractions.
  • Select the operation (addition, subtraction, multiplication, or division).
  • Click "Calculate" to perform the calculation.
  • View the result in fraction, decimal, and mixed number formats.
  • Click "Clear" to reset the inputs and results.
  • Click "Copy" to copy the results and calculation details to the clipboard.

Calculation History:

    What are Fractions?

    Fractions are a way of representing a part of a whole or a division of something into equal parts. They consist of two numbers separated by a horizontal line or slash (“/”). The number above the line is called the numerator, and the number below the line is called the denominator.

    The numerator represents the number of equal parts you have, and the denominator represents the total number of equal parts that make up a whole. Fractions are used to express quantities that are not whole numbers or to represent ratios and proportions.

    All Formulae Related to Fractions

    Here are some common formulae and operations related to fractions:

    1. Fraction Representation:
      • A fraction is represented as “a/b,” where “a” is the numerator (the number of equal parts you have) and “b” is the denominator (the total number of equal parts that make up the whole).
    2. Addition of Fractions:
      • To add two fractions with the same denominator (b), you simply add the numerators and keep the denominator unchanged: (a/b) + (c/b) = (a + c)/b
      • To add fractions with different denominators, you need to find a common denominator first.
    3. Subtraction of Fractions:
      • To subtract two fractions with the same denominator (b), you subtract the second numerator from the first numerator while keeping the denominator unchanged: (a/b) – (c/b) = (a – c)/b
      • To subtract fractions with different denominators, you also need to find a common denominator.
    4. Multiplication of Fractions:
      • To multiply two fractions, you simply multiply the numerators together and the denominators together: (a/b) * (c/d) = (a * c)/(b * d)
    5. Division of Fractions:
      • To divide one fraction by another, you take the reciprocal (invert) of the second fraction and then multiply: (a/b) ÷ (c/d) = (a/b) * (d/c) = (a * d)/(b * c)
    6. Simplifying Fractions:
      • To simplify a fraction, you can divide both the numerator and denominator by their greatest common divisor (GCD) to reduce the fraction to its simplest form.
    7. Conversion to Decimal:
      • To convert a fraction to a decimal, divide the numerator by the denominator: Decimal = Numerator / Denominator
    8. Fraction to Percentage:
      • To convert a fraction to a percentage, multiply by 100: Percentage = Fraction * 100
    9. Percentage to Fraction:
      • To convert a percentage to a fraction, divide by 100 and simplify if necessary: Fraction = Percentage / 100

    Applications of Fractions Calculator in Various Fields

    A fractions calculator is a useful tool that can be applied in various fields and everyday situations. Here are some common applications of fractions calculators across different areas:

    1. Education:
      • Mathematics Education: Fractions calculators help students learn and practice fraction operations, including addition, subtraction, multiplication, and division.
      • Science and Engineering: Students and professionals in science and engineering fields use fractions calculators to perform calculations involving measurements and conversions.
    2. Culinary Arts:
      • Cooking and Baking: Chefs and home cooks use fractions calculators to adjust recipe quantities, convert measurements, and scale recipes up or down.
    3. Construction and Carpentry:
      • Measurement and Layout: Builders and carpenters rely on fractions calculators to make precise measurements, calculate dimensions, and determine material requirements.
    4. Healthcare:
      • Medication Dosage: Healthcare professionals use fractions calculators to calculate accurate medication dosages based on patients’ weight and other factors.
    5. Finance and Business:
      • Financial Calculations: Accountants and financial analysts may use fractions calculators for financial modeling, interest calculations, and investment analysis.
      • Inventory Management: Businesses use fractions calculators to manage inventory quantities and make adjustments when ordering supplies.
    6. Real Estate:
      • Property Measurements: Real estate agents and surveyors use fractions calculators to calculate property measurements and area, especially when dealing with irregularly shaped land.

    Benefits of Using the Fractions Calculator

    Here are some of the key advantages:

    1. Accuracy: Fractions calculators ensure precise calculations, reducing the risk of human error that can occur when performing fraction operations manually.
    2. Efficiency: Calculations involving fractions can be time-consuming when done by hand. Fractions calculators provide quick and efficient results, saving time and effort.
    3. Ease of Use: These calculators are user-friendly and require minimal mathematical expertise. They are accessible to individuals of all ages and backgrounds.
    4. Learning Aid: Fractions calculators can serve as valuable educational tools for students learning about fractions, helping them understand the concepts and practice operations.
    5. Convenience: In real-world scenarios like cooking or construction, fractions calculators make it easy to scale recipes, measure materials, and make accurate calculations on the spot.
    6. Versatility: Fractions calculators can perform a wide range of fraction-related operations, including addition, subtraction, multiplication, division, simplification, and conversion to decimals or percentages.
    7. Reduced Math Anxiety: For individuals who struggle with math, fractions calculators can reduce anxiety and frustration, making math tasks more approachable.


    1. “Beyond Arithmetic: Fractions in Number Theory and Modular Arithmetic” by Journal of Number Theory
    2. “From Geometry to Fractals: Fractions in Dimension and Chaos” by Fractals

    Last Updated : 27 February, 2024

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