1. What is the Fraction and Decimal Calculator?

This calculator performs basic arithmetic operations between fractions and decimals. It converts the fraction to decimal form and then performs the selected operation (addition, subtraction, multiplication, or division) with the given decimal value.

2. How Does the Calculator Work?

The calculator uses the following formula:

Where:

• \( a \) — Numerator (unitless)
• \( b \) — Denominator (unitless)
• \( d \) — Decimal value (unitless)
• op — Operation (+, -, ×, ÷)

Explanation: The fraction a/b is first converted to decimal form, then the selected operation is performed with the decimal value d.

3. Importance of Fraction-Decimal Calculations

Details: Being able to perform operations between fractions and decimals is essential in many mathematical and real-world applications, including engineering, science, finance, and everyday measurements.

4. Using the Calculator

Tips: Enter the numerator and denominator for the fraction (denominator cannot be zero), enter the decimal value, and select the operation. The result will be shown in decimal form.

5. Frequently Asked Questions (FAQ)

Q1: Can I enter negative values?
A: Yes, both the fraction components and decimal can be negative numbers.

Q2: What happens if I enter zero as denominator?
A: The calculator will return "Undefined (division by zero)" as division by zero is mathematically undefined.

Q3: How precise are the calculations?
A: Results are calculated with floating-point precision and rounded to 4 decimal places for display.

Q4: Can I use this for mixed numbers?
A: For mixed numbers, first convert them to improper fractions before entering the values.

Q5: Does this calculator simplify fractions?
A: No, this calculator works with decimal equivalents. For fraction simplification, you would need a different tool.