1. What is Fraction and Decimal Multiplication?

This calculator multiplies a fraction (a/b) by a decimal (c.d) using the formula: a/b × c.d = a/b × (c + d/10). It provides both the equation and decimal result of the multiplication.

2. How Does the Calculator Work?

The calculator uses the following formula:

Where:

• \( a \) — Numerator of the fraction
• \( b \) — Denominator of the fraction (must be ≥1)
• \( c \) — Whole number part of the decimal
• \( d \) — Decimal digit (must be 0-9)

Explanation: The calculator first converts the decimal c.d to its fractional form (c + d/10), then multiplies it by the fraction a/b.

3. Importance of the Calculation

Details: Multiplying fractions and decimals is fundamental in mathematics, with applications in science, engineering, finance, and everyday measurements.

4. Using the Calculator

Tips: Enter the numerator and denominator for the fraction, and the whole number and single digit for the decimal part. All values must be non-negative integers.

5. Frequently Asked Questions (FAQ)

Q1: Why convert the decimal to a fraction first?
A: This approach makes the multiplication clearer and helps understand the relationship between fractions and decimals.

Q2: What if my decimal has more than one digit?
A: This calculator handles single-digit decimals (0-9). For longer decimals, you would divide by 100, 1000, etc.

Q3: Can I enter negative numbers?
A: This calculator only accepts non-negative integers for all inputs.

Q4: Why is the denominator limited to ≥1?
A: Division by zero is undefined in mathematics, so denominators must be positive integers.

Q5: How precise are the results?
A: Results are rounded to 4 decimal places for readability while maintaining reasonable precision.