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Fraction Calculator
Add, Subtract, Multiply & Divide Fractions

Solve fraction problems with step-by-step solutions. Perfect for students, teachers, and professionals.Used by 1 million+ students • Works with proper, improper & mixed fractions

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Fraction Calculator

Solve fraction problems with detailed step-by-step solutions

Fraction Input

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2
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3

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Enter your fractions and select an operation to get step-by-step solutions

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Understanding Fractions: A Complete Guide

Master fraction operations with our comprehensive educational guide

What Are Fractions?

A fraction represents a part of a whole or a division of two numbers. It consists of a numerator (top number) and denominator (bottom number). For example, in 3/4, the numerator is 3 and the denominator is 4, meaning 3 parts out of 4 equal parts.

Types of Fractions:

  • Proper fractions: Numerator < Denominator (e.g., 3/5)
  • Improper fractions: Numerator ≥ Denominator (e.g., 7/4)
  • Mixed numbers: Whole number + fraction (e.g., 2 1/3)

Basic Operations

Addition & Subtraction:

Find a common denominator, convert fractions, then add/subtract numerators.

Multiplication:

Multiply numerators together and denominators together.

Division:

Multiply by the reciprocal of the second fraction.

Real-World Applications of Fractions

Cooking & Recipes

Adjusting ingredient quantities, scaling recipes up or down, measuring portions accurately.

Construction & DIY

Measuring materials, calculating dimensions, determining quantities for projects.

Finance & Business

Calculating percentages, profit margins, investment returns, and financial ratios.

Tips for Success

  • Always simplify: Reduce fractions to their lowest terms for easier understanding.
  • Find patterns: Look for common denominators to make calculations easier.
  • Use visual aids: Draw pie charts or number lines to understand fractions better.
  • Practice regularly: Work with different types of problems to build confidence.

Common Mistakes to Avoid

  • Adding denominators: Never add denominators when adding fractions.
  • Forgetting to simplify: Always reduce your final answer to lowest terms.
  • Division confusion: Remember to multiply by the reciprocal when dividing.
  • Zero denominators: Never use zero as a denominator – it’s undefined.

Step-by-Step Example: Adding Fractions

Problem: 1/4 + 1/6

1
Find the Least Common Denominator (LCD) of 4 and 6
LCD = 12 (smallest number divisible by both 4 and 6)
2
Convert fractions to equivalent fractions with LCD
1/4 = 3/12 and 1/6 = 2/12
3
Add the numerators
3/12 + 2/12 = 5/12
Final Answer: 5/12

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