Fraction Calculator: Addition, Subtraction, & Multiplication

Simplify your fraction calculations. Calculate addition, subtraction, multiplication, and division between two simple or mixed fractions with simplified results.

Input Parameters

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Ready to Calculate

Fill in the required parameters on the left and click calculate to see the detailed results and analysis.

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Solving Math Problems with the Fraction Calculator

Fractions are another way to express the division of two integers. Although we often use decimals in daily life, fractions are crucial in engineering, carpentry, and of course, school mathematics. Many students and professionals find it difficult when they have to add or subtract fractions with different denominators. Our Fraction Calculator is here to provide accurate answers along with the simplest form.

Basic Terms in Fractions

Before you start calculating, let's recall the basic structure of a fraction:

  • •Numerator: The number on top that shows how many parts we have.
  • •Denominator: The number at the bottom that shows into how many parts the whole is divided. Remember, the denominator cannot be zero.
  • •Simple Fraction: A fraction where the numerator is smaller than the denominator (e.g., 3/4).
  • •Improper Fraction: A fraction where the numerator is larger than the denominator (e.g., 5/2).
  • •Mixed Fraction: A combination of a whole number and a simple fraction (e.g., 2 1/2).

    • How to Operate Fractions Manually

  • 1Addition & Subtraction: You must first find a common denominator by finding the LCM (Least Common Multiple).
  • 2Multiplication: Simply multiply numerator by numerator, and denominator by denominator.
  • 3Division: Flip the second fraction (numerator becomes denominator, and vice versa), then operate as a multiplication.

    • Why Is It Important to Simplify Fractions?

    In mathematics, stating answers in the simplest form (for example 1/2 rather than 50/100) is the professional standard. Our calculator will automatically find the GCF (Greatest Common Factor) to divide the numerator and denominator until they reach a form that cannot be reduced further.

    Real-World Uses of Fractions

  • •Cooking Recipes: Often use measurements like 1/2 teaspoon or 3/4 cup.
  • •Carpentry & Construction: Length measurements often use inches in fraction form (e.g., 5/8 inch).
  • •Music: Beat values in music notation are all based on fractions (such as 1/4 beat or 1/8 beat).

    • How to Use the Fraction Calculator

    Enter the numerator and denominator numbers in the available columns. Select the desired mathematical operation (Add, Subtract, Multiply, or Divide). Click calculate, and you will get the result in both fraction form and its decimal value.

    ? Frequently Asked Questions

    Q What is LCM in fraction calculation?

    LCM (Least Common Multiple) is used to find a common denominator for two or more fractions so that addition and subtraction operations can be performed.

    Q Can this calculator calculate mixed fractions?

    Yes, this calculator supports input for numerator and denominator. If you want to enter a mixed fraction, first convert it into an improper fraction (e.g., 1 1/2 becomes 3/2).

    Q Why can't the denominator be zero?

    In mathematics, division by zero is undefined. Therefore, the denominator must always be a number other than zero for the fraction to have a valid value.

    Q How to change a fraction to a decimal?

    The way is to divide the numerator by the denominator. Example: 1/4 = 1 divided by 4 = 0.25.

    Q What are equivalent fractions?

    Equivalent fractions are fractions that have the same value even though the numbers are different, for example, 1/2 is equivalent to 2/4 and 5/10.