Fraction Calculator

Basic Fraction Calculator

Mixed Number Calculator

Simplify Fraction

Decimal to Fraction

Fraction to Decimal

Fraction Calculator

Use this Fraction Calculator for +-*/ fractions, Basic Fraction Calculator, Mixed Number Calculator, Simplify Fraction, Decimal to Fraction, Fraction to Decimal.

What Can You Do With This Fraction Calculator?

This Fraction Calculator is divided into five sections.

Basic Fraction Calculator: You can add, subtract, multiply, and divide standard fractions (both proper and improper).
Mixed Number Calculator: It allows you to perform mathematical operations on mixed numbers (a whole number combined with a fraction).
Simplify Fraction: You can instantly reduce fraction to its simplest lowest terms.
Decimal to Fraction: Turn decimal number (like 0.75) into a precise, simplified fraction.
Fraction to Decimal: Quickly divide fractions to find their exact decimal equivalents.

How to Use the Fraction Calculator

This Fraction Calculator is divided into five sections.

1. Basic Fraction Calculator

Use this for fractions that do not have whole numbers.

Step 1: In the first group of boxes, enter your top number in the Num (Numerator) field and your bottom number in the Den (Denominator) field.
Step 2: Click the dropdown menu in the middle to select your operation: Addition (+), Subtraction (−), Multiplication (×), or Division (÷).
Step 3: Enter the Numerator and Denominator for your second fraction.
Step 4: Click Calculate. The simplified answer (and its decimal equivalent) will appear in the box below.

2. Mixed Number Calculator

Calculate Mixed Number.Use this when your math problem includes whole numbers (e.g., 2 ½).

Step 1: In the first block, enter your whole number in the Whl field, followed by the fraction in the Num and Den fields.
Step 2: Choose your mathematical operator (+, -, *, /) from the dropdown menu.
Step 3: Enter the whole number and fraction for your second mixed number.
Step 4: Click Calculate. The tool will display the answer, formatting it back into a mixed number if necessary.

3. Simplify Fraction

Use this if you have a fraction that needs reducing (e.g., turning 50/100 into 1/2).

Step 1: Enter your Numerator and Denominator.
Step 2: Click Simplify. The calculator will instantly show the fraction in its lowest possible terms.

4. Decimal to Fraction

Step 1: Type any decimal number (for example, 3.14 or 0.875) into the input box.
Step 2: Click Convert. The tool will output the exact fraction equivalent, perfectly simplified.

5. Fraction to Decimal

Step 1: Enter the Numerator and Denominator of your fraction.
Step 2: Click Convert. The tool will divide the numbers and give you a precise decimal format (up to 6 decimal places).

(Note: Every section features a Reset button. Clicking this will clear your inputs and results, allowing you to start a new calculation with a clean slate.)

How Does this Fraction Calculator Work Behind the Scenes?

While the user interface is simple and clean, there is a lot of clever math and JavaScript logic working in the background. Here is a simplified breakdown of how the calculator processes your inputs:

1. The Magic of GCD (Simplification)

The backbone of this calculator is a mathematical concept called the Greatest Common Divisor (GCD). The tool uses a recursive JavaScript function to find the largest number that divides exactly into both the numerator and denominator. Whenever you calculate or simplify a fraction, the tool divides both numbers by this GCD to ensure your final answer is always in its lowest terms.

2. Processing Basic Math

The tool follows standard rules of mathematics based on the operator you choose:

Multiplication/Division: For multiplication, it simply multiplies the top numbers together and the bottom numbers together. For division, it flips the second fraction upside down and multiplies.
Addition/Subtraction: It uses cross-multiplication to find a common denominator behind the scenes, ensuring the math is flawlessly accurate.

3. Handling Mixed Numbers

To calculate mixed numbers, the program uses a clever shortcut. Before doing any math, it converts your mixed numbers into improper fractions. (For example, it turns $2 2 1$ into $2 5$ ). It calculates the improper fractions using the basic math logic, and then converts the final answer back into a mixed number for you to read easily.

4. Decimal Conversions

When converting a decimal to a fraction, the code counts how many digits are after the decimal point. If you type 0.75 (two decimal places), it multiplies it by $1 0^{2}$ (100) to get the fraction $100 75$ . Then, it runs that fraction through the GCD simplifier to give you $4 3$ .

5. Error Prevention

The code features built-in safety nets. In mathematics, dividing by zero is impossible. If you accidentally leave a denominator empty or type 0, the calculator will immediately trigger an alert warning you that the Denominator cannot be zero, preventing the system from breaking.