1. What is the Fraction and Decimal Calculator?

This calculator performs basic arithmetic operations between fractions (a/b) and decimals (d). It can add, subtract, multiply, or divide a fraction with a decimal number, providing precise results.

2. How Does the Calculator Work?

The calculator uses the following formula:

Where:

• \( a \) — Numerator (unitless)
• \( b \) — Denominator (unitless, cannot be zero)
• \( d \) — Decimal number (unitless)
• \( op \) — Operation (+, -, ×, ÷)

Explanation: The calculator first converts the fraction to its decimal equivalent, then performs the selected operation with the decimal input.

3. Importance of Fraction and Decimal Calculations

Details: Being able to work seamlessly between fractions and decimals is essential in many fields including engineering, science, finance, and everyday calculations.

4. Using the Calculator

Tips: Enter numerator (a), denominator (b), decimal (d), and select an operation. Denominator must not be zero. For division, decimal input must not be zero.

5. Frequently Asked Questions (FAQ)

Q1: What if my denominator is zero?
A: The calculator will not compute as division by zero is undefined.

Q2: Can I input negative numbers?
A: Yes, both numerator and decimal can be negative, but denominator should be positive.

Q3: How precise are the results?
A: Results are rounded to 4 decimal places for readability.

Q4: Can I use this for mixed numbers?
A: Yes, convert the mixed number to an improper fraction first (e.g., 1½ becomes 3/2).

Q5: What about repeating decimals?
A: The calculator works with decimal approximations. For exact fractional results, consider specialized tools.