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Fraction Calculator

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Fraction Calculator

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Fractions Simplifier


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Online Fraction Calculator

Fractions are a fundamental aspect of mathematics, representing parts of a whole. Our Online Fraction Calculator is here to simplify your calculations, making it easy to handle even the most complex fractions with just a few clicks. Whether you're tackling homework, preparing for a test, or just need a quick calculation, our tool has got you covered!

Key Features

  • Simple Interface: Our user-friendly design allows anyone to calculate fractions easily.
  • Real-Time Results: Get instant calculations without waiting for loading times.
  • Step-by-Step Solutions: Learn as you calculate! We provide detailed breakdowns of each operation.
  • Support for Mixed Numbers: Easily convert between improper fractions and mixed numbers.
  • Multiple Operations: Add, subtract, multiply, and divide fractions seamlessly.
  • Mobile Friendly: Access the calculator from any device, including smartphones and tablets.

How to Use the Fraction Calculator?

  1. Input Fractions: Enter your fractions in the designated fields. You can input whole numbers, numerators, and denominators.
  2. Select Operation: Choose the operation you wish to perform (Addition, Subtraction, Multiplication, or Division).
  3. Click "Calculate": Hit the "Calculate" button to see your results.
  4. View Results: Our calculator will display the result, along with a step-by-step explanation.

Fraction Operations Explained

Addition of Fractions

To add fractions, they must have a common denominator.

Formula: a / b + c / d = (ad + bc) / bd

Example: 1 / 4 + 2 / 4 = 3 / 4

Subtraction of Fractions

Fractions require a common denominator for subtraction.

Formula: a / b - c / d = (ad - bc) / bd

Example: 3 / 4 - 1 / 4 = 1 / 2

Multiplication of Fractions

Formula: a / b x c / d = ac / bd

Example: 1 / 2 x 3 / 4 = 3 / 8

Division of Fractions

Formula: a / b ÷ c / d = a / b x d / c = ad / bc

Example: 1 / 2 ÷ 3 / 4 = 4 / 6 = 2 / 3

Step-by-Step Examples

Adding Fractions

Input: 2 / 3 + 1 / 6

Calculation: Find a common denominator: 6, Convert: 2 / 3 = 4 / 6, Add: 4 / 6 + 1 / 6 = 5 / 6

Output: 5 / 6

Fraction Conversion

Our calculator also allows you to convert between mixed numbers and improper fractions:

Mixed Number to Improper Fraction

Formula: a x (b / c) = (a x c) + b / c

Example: 2 x (1 / 4) = (2 x 4) + 1 / 4 = 9 / 4

Frequently Asked Questions (FAQs)

What is a fraction?

A fraction represents a part of a whole and consists of a numerator (top number) and a denominator.

How do I add fractions with different denominators?

To add fractions with different denominators, find a common denominator, convert the fractions, and then add the numerators.

Can I use this calculator for mixed numbers?

Yes! Our calculator can handle both improper fractions and mixed numbers.

What if I enter an invalid fraction?

The calculator will provide an error message, prompting you to enter valid fractions.

Is there a limit to how many fractions I can calculate at once?

You can calculate one operation at a time; however, you can repeat the process as needed for multiple calculations.