1. What is Number Multiplied By Fraction?

This calculator performs the operation of multiplying a number by a fraction, which is mathematically equivalent to multiplying the number by the numerator and then dividing by the denominator.

2. How Does the Calculator Work?

The calculator uses the following formula:

Where:

• \( c \) — The number to be multiplied (unitless)
• \( a \) — The numerator of the fraction (unitless)
• \( b \) — The denominator of the fraction (unitless)

Explanation: The calculation first multiplies the number by the numerator, then divides by the denominator to get the final result.

3. Importance of This Calculation

Details: This operation is fundamental in mathematics and has applications in various fields including physics, engineering, finance, and everyday calculations where proportional relationships are involved.

4. Using the Calculator

Tips: Enter the number (c), the numerator (a), and denominator (b) of the fraction. The denominator must be non-zero. All values can be positive or negative (except denominator which cannot be zero).

5. Frequently Asked Questions (FAQ)

Q1: What happens if the denominator is zero?
A: Division by zero is undefined in mathematics. The calculator will not display a result if zero is entered as the denominator.

Q2: Can I use decimal numbers?
A: Yes, the calculator accepts decimal numbers for all inputs.

Q3: What's the difference between (c × a)/b and c × (a/b)?
A: Mathematically they are equivalent due to the associative property of multiplication and division.

Q4: Can this be used for unit conversions?
A: Yes, this operation is commonly used in unit conversions where the conversion factor is expressed as a fraction.

Q5: How precise are the results?
A: Results are calculated with floating-point precision and rounded to 4 decimal places for display.