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Fraction Calculator

Result

Error   /
Decimal:

Calculation Steps

How to Use the Fraction Calculator

Our fraction calculator makes it easy to perform operations with fractions. Here's how to use it:

Entering Fractions

You can enter fractions in three parts:

  • Whole Number: The integer part of a mixed number (optional)
  • Numerator: The top number of the fraction
  • Denominator: The bottom number of the fraction

For example, to enter 2¾, put 2 in the whole number field, 3 in the numerator, and 4 in the denominator.

Operations

Select one of the four basic operations from the dropdown menu:

  • Addition (+): Add two fractions together
  • Subtraction (-): Subtract the second fraction from the first
  • Multiplication (×): Multiply the two fractions
  • Division (÷): Divide the first fraction by the second

Understanding the Results

The calculator displays results in both mixed number and decimal format. You can also view detailed step-by-step calculations by checking the "Show calculation steps" box.

Tips

  • You can enter proper fractions (like ¾) by leaving the whole number blank
  • For whole numbers, enter the value in the whole number field and leave the fraction parts blank
  • For negative fractions, add a minus sign to either the whole number or numerator (not both)

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Working with Fractions

Fractions represent parts of a whole and are fundamental in mathematics. Understanding how to work with fractions is essential for many areas of study and everyday life.

Types of Fractions

  • Proper Fractions: The numerator is less than the denominator (e.g., ¾)
  • Improper Fractions: The numerator is greater than or equal to the denominator (e.g., 7/4)
  • Mixed Numbers: A whole number and a proper fraction combined (e.g., 1¾)

Simplifying Fractions

A fraction is in its simplest form when the numerator and denominator have no common factors. To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).

Common Fraction Operations

Addition and Subtraction: Fractions must have the same denominator to be added or subtracted. If they don't, you need to find a common denominator first.

Multiplication: Multiply the numerators together and the denominators together, then simplify the result if possible.

Division: To divide by a fraction, multiply by its reciprocal (flip the numerator and denominator of the second fraction), then simplify.

Real-World Applications

Fractions are used in many practical situations:

  • Cooking and baking recipes
  • Construction and carpentry
  • Time management
  • Financial calculations
  • Science and engineering

Our fraction calculator simplifies these operations, showing you not just the answer but also the steps to get there, helping you learn and understand the process.