math arithmetic

Fraction Calculator (Add, Subtract, Multiply & Divide)

Arithmetic tool for solving operations between fractions $a/b$ and $c/d$. Simplifies the output using the Greatest Common Divisor (GCD).

Input Parameters

Numerator 1

Denominator 1

Operation

Numerator 2

Denominator 2

Instant Calculation Result

Estimated Output

Active in Real-Time

Adjust values on the left to calculate live results.

Formula: Addition: (a*d + b*c)/(b*d). Subtraction: (a*d - b*c)/(b*d). Multiplication: (a*c)/(b*d). Division: (a*d)/(b*c). Simplified via GCD.

In-Depth Guide & Mathematical Methodology

➕ Fraction Operations & Simplification Rules

Addition / Subtraction: Find common denominator: (a/b) ± (c/d) = (ad ± bc) / (bd).

Multiplication: Multiply straight across: (a/b) × (c/d) = (ac) / (bd).

Division: Multiply by reciprocal: (a/b) ÷ (c/d) = (a/b) × (d/c) = (ad) / (bc).

Frequently Asked Questions (FAQ)

What is the Fraction Calculator (Add, Subtract, Multiply & Divide) and how does it work?

Arithmetic tool for solving operations between fractions $a/b$ and $c/d$. Simplifies the output using the Greatest Common Divisor (GCD).

How do I use this Fraction Calculator (Add, Subtract, Multiply & Divide)?

Enter Numerator 1 and Denominator 1 for the first fraction. Select Operation (+, -, ×, ÷). Enter Numerator 2 and Denominator 2 for the second fraction. View result as simplified fraction, decimal value, and mixed number.

What mathematical formula is used in this calculation?

Addition: (a*d + b*c)/(b*d). Subtraction: (a*d - b*c)/(b*d). Multiplication: (a*c)/(b*d). Division: (a*d)/(b*c). Simplified via GCD.

Is the Fraction Calculator (Add, Subtract, Multiply & Divide) on FindCalculator free to use?

Yes, all 330+ interactive tools on FindCalculator.online are 100% free, run directly in your browser without registration, and do not store your private calculation data.

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