1. What is the Fractions With Integers Calculator?

The Fractions With Integers Calculator performs basic arithmetic operations between fractions and integers. It supports addition, subtraction, multiplication, and division, providing results in both original and simplified forms.

2. How Does the Calculator Work?

The calculator performs operations according to standard mathematical rules for fractions:

Where:

• \( a \) — Numerator (unitless)
• \( b \) — Denominator (unitless, must be positive)
• \( c \) — Integer (unitless)
• op — Operation (+, -, ×, ÷)

Explanation: The calculator follows standard fraction arithmetic rules and automatically simplifies the result by finding the greatest common divisor.

3. Importance of Fraction Calculations

Details: Fraction operations are fundamental in mathematics, science, engineering, and everyday life. Accurate calculations are essential for precise measurements, ratios, and proportional relationships.

4. Using the Calculator

Tips: Enter numerator and denominator (must be non-zero), the integer value, and select the operation. The calculator will show the result in both original and simplified forms when applicable.

5. Frequently Asked Questions (FAQ)

Q1: What if my denominator is zero?
A: The calculator will not perform the calculation as division by zero is undefined in mathematics.

Q2: How does the simplification work?
A: The calculator uses the greatest common divisor (GCD) algorithm to reduce fractions to their simplest form.

Q3: Can I use negative numbers?
A: Yes, the calculator supports negative numerators and integers, but denominators must be positive.

Q4: What's the maximum number size?
A: The calculator uses standard PHP integer limits (typically ±2,147,483,647 on 32-bit systems).

Q5: Does it show decimal equivalents?
A: Currently it only shows fractional results, but you can easily convert the simplified fraction to decimal by dividing numerator by denominator.