Fraction Calculator With Whole Numbers

Fraction Operations:

\[ \text{Result} = \left(\text{Whole}_1 + \frac{\text{Numerator}_1}{\text{Denominator}_1}\right) \pm \times \div \left(\text{Whole}_2 + \frac{\text{Numerator}_2}{\text{Denominator}_2}\right) \]

First Whole Number:

First Fraction Numerator:

First Fraction Denominator:

Operation:

Second Whole Number:

Second Fraction Numerator:

Second Fraction Denominator:

Calculation Result:

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Fraction Calculator?

This calculator performs basic arithmetic operations (addition, subtraction, multiplication, and division) with mixed numbers (whole numbers with fractions). It handles all calculations and simplifies the results to their lowest terms.

2. How Does the Calculator Work?

The calculator follows these steps:

Convert mixed numbers to improper fractions
Perform the selected operation
Simplify the resulting fraction
Convert back to mixed number if needed

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

Convert to 5/2 + 7/4
Find common denominator: 10/4 + 7/4 = 17/4
Simplify to 4 1/4

3. Importance of Fraction Calculations

Details: Fraction operations are fundamental in mathematics, cooking, construction, and many real-world applications where precise measurements are needed.

4. Using the Calculator

Tips:

Enter whole numbers (leave 0 if only fraction)
Enter numerator and denominator (denominator cannot be zero)
Select the operation
Results are automatically simplified

5. Frequently Asked Questions (FAQ)

Q1: What if I get a negative result?
A: Negative results are displayed with a minus sign before the whole number or fraction.

Q2: How are fractions simplified?
A: The calculator divides numerator and denominator by their greatest common divisor (GCD).

Q3: What if I divide by zero?
A: The calculator prevents division by zero by setting denominator to 1 in such cases.

Q4: Can I enter improper fractions?
A: Yes, enter the whole number as 0 and the improper fraction parts.

Q5: What's the maximum number size?
A: The calculator handles numbers within PHP's integer limits (typically ±2 billion).