1. What is the Fraction Calculator?

This calculator computes the decimal value of a mixed number (whole number plus fraction) with precision to 3 decimal places. It's useful for converting fractions to decimal form for easier calculations and comparisons.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( c \) — Whole number part
• \( a \) — Numerator of the fraction
• \( b \) — Denominator of the fraction (must be ≥1)

Explanation: The calculator adds the whole number to the decimal equivalent of the fraction (numerator divided by denominator), then rounds the result to 3 decimal places.

3. Importance of Accurate Fraction Calculation

Details: Converting fractions to decimals is essential for many mathematical operations, measurements, and comparisons in fields like engineering, cooking, construction, and science.

4. Using the Calculator

Tips: Enter the whole number (0 if none), numerator, and denominator (must be ≥1). The result will be displayed as a decimal rounded to 3 places.

5. Frequently Asked Questions (FAQ)

Q1: What if my denominator is zero?
A: The calculator prevents division by zero by requiring denominator to be ≥1.

Q2: Why round to 3 decimal places?
A: Three decimal places provide sufficient precision for most practical applications while keeping results manageable.

Q3: Can I enter negative numbers?
A: Yes, the calculator accepts negative values for whole number and numerator.

Q4: What about improper fractions?
A: The calculator works with improper fractions (where numerator > denominator) as well as proper fractions.

Q5: How precise is the calculation?
A: The calculation uses PHP's floating-point arithmetic, which has about 14 decimal digits of precision before rounding to 3 places.