Free Online Calculator

Fraction Calculator

Simplify fractions, perform arithmetic operations, and get step-by-step solutions with our advanced fraction calculator. Perfect for simplifying 2436\frac{24}{36} to 23\frac{2}{3} or adding 14+16\frac{1}{4} + \frac{1}{6}.

Fraction Calculator

Simplify fractions and perform arithmetic operations with step-by-step solutions

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Master Fraction Operations with Our Advanced Calculator

Our fraction calculator is designed to help students, teachers, and professionals work with fractions efficiently. Whether you're working on elementary math homework, preparing foralgebra exams, or tackling university mathematics courses, this tool provides comprehensive step-by-step solutions that enhance your understanding of fraction operations.

The fraction simplifier handles all basic operations: addition, subtraction, multiplication, and division. It can simplify complex fractions like 2436\frac{24}{36} to 23\frac{2}{3}, add fractions with different denominators like 14+16=512\frac{1}{4} + \frac{1}{6} = \frac{5}{12}, and perform mixed number operations. Our arithmetic calculator is particularly useful for SAT preparation and algebra homework, where fraction manipulation is essential.

Perfect for elementary school students learning basic fraction concepts, middle school studentsmastering fraction operations, high school students preparing for algebra, and college studentsin calculus prerequisites. The fraction calculator provides not just answers, but detailed explanations that help you understand the underlying concepts and improve your mathematical skills.

Types of Fraction Operations

Operation TypeExampleSolutionDifficulty Level
Fraction Simplification

2436\frac{24}{36}

23\frac{2}{3}

Beginner
Fraction Addition

14+16\frac{1}{4} + \frac{1}{6}

512\frac{5}{12}

Intermediate
Fraction Multiplication

23×34\frac{2}{3} \times \frac{3}{4}

12\frac{1}{2}

Beginner
Fraction Division

34÷25\frac{3}{4} \div \frac{2}{5}

158\frac{15}{8}

Intermediate
Mixed Number Operations

213+1142\frac{1}{3} + 1\frac{1}{4}

37123\frac{7}{12}

Advanced

Common Mistakes to Avoid

Adding Without Common Denominator

When adding 14+16\frac{1}{4} + \frac{1}{6}, you must find a common denominator first. Don't add numerators and denominators directly: 1+14+6=210\frac{1+1}{4+6} = \frac{2}{10} is incorrect.

Forgetting to Simplify

Always simplify your final answer. 2436\frac{24}{36} should be simplified to 23\frac{2}{3} by dividing both numerator and denominator by their greatest common divisor (12).

Division by Zero

Never divide by zero. When dividing fractions, ensure the denominator is not zero. The formula $\frac{1}{2} \div \frac{1}{3} = \frac{1}{2} \times \frac{3}{1}$ only works when the denominator is not zero.

How to Work with Fractions

A fraction represents a part of a whole, written as `$\\frac34$` where the top number is the numerator and the bottom number is the denominator. Fractions can be simplified, added, subtracted, multiplied, and divided.

34\frac{3}{4}

where the top number is the numerator and the bottom number is the denominator, with the denominator not equal to zero.

Key Operations

1

Simplification

Divide numerator and denominator by their GCD

2

Addition/Subtraction

Find common denominator, then add/subtract numerators

3

Multiplication

Multiply numerators and denominators directly

4

Division

Multiply by the reciprocal of the second fraction

Key Formulas

12+13=56\frac{1}{2} + \frac{1}{3} = \frac{5}{6}

12÷13=12×31=32\frac{1}{2} \div \frac{1}{3} = \frac{1}{2} \times \frac{3}{1} = \frac{3}{2}

Examples

Fraction Simplification

2436\frac{24}{36}

Solution:

  1. Find GCD of 24 and 36: GCD = 12

  2. Divide both by 12: 24÷1236÷12=23\frac{24 \div 12}{36 \div 12} = \frac{2}{3}

23\frac{2}{3}

Fraction Addition

14+16\frac{1}{4} + \frac{1}{6}

Solution:

  1. Find LCD: 12

  2. Convert: 312+212=512\frac{3}{12} + \frac{2}{12} = \frac{5}{12}

512\frac{5}{12}

Fraction Multiplication

23×34\frac{2}{3} \times \frac{3}{4}

Solution:

  1. Multiply numerators: 2 × 3 = 6

  2. Multiply denominators: 3 × 4 = 12

  3. Simplify: 612=12\frac{6}{12} = \frac{1}{2}

12\frac{1}{2}

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Frequently Asked Questions

What is a fraction?

A fraction represents a part of a whole, written as 34\frac{3}{4} where the top number is the numerator and the bottom number is the denominator. The denominator cannot be zero.

How do I simplify a fraction?

To simplify a fraction, find the greatest common divisor (GCD) of the numerator and denominator, then divide both by the GCD. For example, 2436\frac{24}{36} simplifies to 23\frac{2}{3} by dividing by 12.

How do I add fractions with different denominators?

To add fractions with different denominators, first find the least common denominator (LCD), convert each fraction to have the LCD, then add the numerators. For example, 14+16=312+212=512\frac{1}{4} + \frac{1}{6} = \frac{3}{12} + \frac{2}{12} = \frac{5}{12}.

Can I multiply fractions directly?

Yes, to multiply fractions, multiply the numerators together and the denominators together. Then simplify if possible. For example, 23×34=612=12\frac{2}{3} \times \frac{3}{4} = \frac{6}{12} = \frac{1}{2}.

Is this calculator free to use?

Yes, our fraction calculator is completely free to use with no limitations. You can perform as many fraction operations as you need.

How accurate are the solutions?

Our calculator provides exact fraction solutions and can handle both proper fractions and mixed numbers. It shows step-by-step work to help you understand the process.

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Last updated: 24/08/2025 — Written by the AskMathAI team