How to simplify 8/12?

Divide both 8 and 12 by their Greatest Common Divisor (4) to get 2/3.

What is a reciprocal?

A reciprocal is a fraction flipped upside down. The reciprocal of 1/2 is 2/1 (or 2).

WHOLE

CALCULATOR

Fraction Calculator

Numerator

Denominator

Operation

Numerator

Denominator

Decimal to Fraction Converter

Example: 0.75 = 3/4, 0.333 = 1/3 (approximately)

Understanding Fractions

A fraction represents a part of a whole. It consists of a numerator (top number) and a denominator (bottom number). The numerator tells how many parts we have, and the denominator tells how many equal parts make up the whole.

Addition

a/b + c/d = (a×d + c×b)/(b×d)

Example: 3/4 + 1/6 = (18+4)/24 = 22/24 = 11/12

Subtraction

a/b - c/d = (a×d - c×b)/(b×d)

Example: 3/4 - 1/6 = (18-4)/24 = 14/24 = 7/12

Multiplication

a/b × c/d = (a×c)/(b×d)

Example: 3/4 × 1/6 = 3/24 = 1/8

Division

a/b ÷ c/d = a/b × d/c = (a×d)/(b×c)

Example: 3/4 ÷ 1/6 = 3/4 × 6/1 = 18/4 = 9/2

Fraction Calculator: Simplify, Add, and Subtract Fractions with Ease

Fractions are a fundamental part of mathematics, appearing in everything from cooking recipes and woodworking to financial analysis and engineering. However, performing arithmetic with fractions—especially those with different denominators—can be a daunting task. Our Fraction Calculator is a powerful tool designed to help you add, subtract, multiply, and divide fractions instantly, providing simplified results and mixed number conversions.

Most people struggle with finding the **Least Common Denominator (LCD)** or simplifying large fractions like '48/64'. Our calculator automates the entire process, using the Greatest Common Divisor (GCD) to ensure your answer is always in its simplest form. Whether you are a student checking homework or a professional needing a quick dimension check, this tool is your digital math companion.

In this guide, we'll explain the rules for different fraction operations, discuss how to convert between improper fractions and mixed numbers, and offer tips on visualising fractions in the real world.

Understanding Different Types of Fractions

Fractions represent a part of a whole. Understanding the different types is key to using them correctly:

1. Proper Fractions: Where the numerator (top) is smaller than the denominator (bottom), such as 3/4.

2. Improper Fractions: Where the numerator is larger than or equal to the denominator, such as 7/4. These represent a value greater than or equal to one.

3. Mixed Numbers: A combination of a whole number and a proper fraction, such as 1 3/4. Our calculator automatically provides this format for easy reading.

How to Use the Online Fraction Tool

Step 1: Enter First Fraction: Input the numerator and denominator in the first two boxes.
Step 2: Select Operator: Choose between addition (+), subtraction (−), multiplication (×), or division (÷).
Step 3: Enter Second Fraction: Input the values for the second part of your equation.
Step 4: Review Results: The tool will instantly show the simplified fraction, the mixed number equivalent, and the decimal value.
Step 5: Error Correction: If you enter zero in the denominator, the tool will alert you, as division by zero is mathematically undefined.

Fraction Calculation Examples

Operation	Fractions	Simplified Result	Mixed Number
Addition	1/2 + 1/4	3/4	0 3/4
Subtraction	5/8 - 1/4	3/8	0 3/8
Multiplication	2/3 * 3/4	1/2	0 1/2
Division	3/4 ÷ 1/2	3/2	1 1/2
Complex Add	7/12 + 5/8	29/24	1 5/24

Benefits of Our Fraction Calculator

✓
Automated Simplification
No more long division to find the smallest terms; we do it for you.
✓
Mixed Number Support
Perfect for practical use cases where '1 1/2' is more useful than '3/2'.
✓
Decimal Conversion
Instantly see the value in a format compatible with standard calculators.