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Calculators & Converters

Fraction Calculator

Add, subtract, multiply, and divide fractions with instant simplified fraction outputs.

fraction calculator Inputs

Calculation Results
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Tool Documentation & Architecture

About Fraction Calculator

The Fraction Calculator performs addition (+), subtraction (−), multiplication (×), and division (÷) on proper fractions, improper fractions, mixed numbers, and whole numbers with step-by-step simplification and decimal equivalents.

Step-by-Step Guide

How to Use Fraction Calculator

1

Step 1

Enter numerator and denominator for the first fraction.

2

Step 2

Select mathematical operation (+, −, ×, ÷).

3

Step 3

Enter values for the second fraction.

4

Step 4

Inspect the simplified result and step-by-step solution steps below.

Industry Scenarios

Practical Use Cases for Fraction Calculator

Math Homework & STEM Education

Solve and understand fraction arithmetic with step-by-step lowest common denominator (LCD) and reduction breakdowns.

Cooking & Recipe Scaling

Add and divide fractional ingredient measurements (e.g. 1 3/4 cups + 2/3 cup) when scaling recipes up or down.

Sample Data & Transformation

Input & Output Examples

Adding 2/3 + 3/4 with Step-by-Step Breakdown

Input Sample:
Fraction 1: 2/3, Operation: +, Fraction 2: 3/4
Processed Result:
Result: 17/12 = 1 5/12 (Mixed Number) | Decimal: 1.4167 | LCD: 12
Technical Capabilities

Key Features & Performance

  • Performs Addition, Subtraction, Multiplication, and Division on fractions.
  • Supports Mixed Numbers (e.g. 2 1/3) and Negative Fractions.
  • Step-by-Step explanation shows LCD finding, cross-multiplication, and greatest common factor (GCF) reduction.
  • Outputs Simplified Fraction, Mixed Number, and Decimal Equivalent.
  • 100% Client-Side calculation.
  • 1-Click Copy fraction solution.
Technical Glossary

Key Terminology & Definitions

Lowest Common Denominator (LCD)

The lowest common multiple of the denominators of a set of fractions, required to perform fraction addition and subtraction.

Greatest Common Factor (GCF)

The largest positive integer that divides evenly into both the numerator and denominator, used to simplify fractions to lowest terms.

Frequently Asked Questions (PAA)

Fraction Calculator FAQs

Keep the first fraction, change the division sign to multiplication, flip the second fraction upside down (its reciprocal), and multiply across (e.g. 1/2 ÷ 3/4 = 1/2 × 4/3 = 4/6 = 2/3).
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