1. What is Fraction and Decimal Addition?

This calculator combines a fraction (a/b) with a decimal (d) using the formula: (a/b) + d = (a + d×b)/b. This is useful when you need to add quantities expressed in different forms.

2. How Does the Calculator Work?

The calculator uses the following equation:

Where:

• \( a \) — Numerator (unitless)
• \( b \) — Denominator (unitless)
• \( d \) — Decimal to add (unitless)

Explanation: The equation converts the decimal addition into a common denominator with the fraction, then combines them into a single fraction.

3. Importance of the Calculation

Details: This calculation is fundamental in mathematics, engineering, and sciences when working with mixed numerical representations. It ensures accurate combination of fractional and decimal values.

4. Using the Calculator

Tips: Enter the numerator (a), denominator (b must not be zero), and decimal (d). All values are unitless. The calculator will show both the fractional and decimal results.

5. Frequently Asked Questions (FAQ)

Q1: Can the denominator be zero?
A: No, division by zero is undefined. The denominator must be a non-zero value.

Q2: What if I get a very large numerator?
A: The calculator will show the exact fraction and its decimal equivalent. Large numerators are valid results.

Q3: Can I enter negative numbers?
A: Yes, the calculator accepts negative values for numerator and decimal, but denominator must be positive.

Q4: How precise are the results?
A: Results are calculated with floating-point precision and rounded to 4 decimal places.

Q5: Can this be used for mixed numbers?
A: Yes, convert the mixed number to an improper fraction first (e.g., 1½ = 3/2).