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Fraction Calculator

Add, subtract, multiply, and divide fractions with step-by-step simplification steps.

What is the Fraction Calculator?

The Fraction Calculator performs arithmetic operations (+, -, ×, ÷) on simple fractions and mixed numbers. It highlights the lowest common denominator and delivers a detailed, step-by-step simplification guide.

Key Benefits & Features

Homework Checking

Students can verify math homework answers and understand the steps.

Baking and Cooking

Quickly scale recipes that contain fractional measurements (e.g. 1/3 cup).

Construction

Add and subtract measurements in inches and fractional dimensions.

How to Use the Fraction Calculator Step-by-Step

This utility runs entirely inside your browser using client-side JavaScript. We prioritize your security: none of your inputted text is logged or stored.

  1. 1

    Input the whole numbers, numerators, and denominators for both fractions.

  2. 2

    Select the mathematical operation (+, -, ×, ÷) from the toggle bar.

  3. 3

    Examine the calculated fraction, its simplified mixed number, and the step-by-step solving steps.

Practical Examples

Input Example

1/2 + 1/3

Expected Output
Result: 5/6 (Steps: LCD of 2 and 3 is 6. Convert: 3/6 + 2/6 = 5/6)
Input Example

1 1/2 × 2/3

Expected Output
Result: 1 (Steps: Convert 1 1/2 to 3/2. Multiply: 3/2 × 2/3 = 6/6 = 1)

Frequently Asked Questions (FAQ)

What is a mixed number?

A mixed number consists of a whole number and a proper fraction combined (for example, 1 3/4).

How does the calculator simplify answers?

It determines the Greatest Common Divisor (GCD) of the resulting numerator and denominator and divides both by it to arrive at the simplest form.

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