1. What is Fraction Divided by Decimal?

This calculator simplifies the operation of dividing a fraction by a decimal number. The result is presented in both simplified fractional form and decimal approximation.

2. How Does the Calculator Work?

The calculator uses the following mathematical principle:

Where:

• \( a \) — Numerator of the fraction (unitless)
• \( b \) — Denominator of the fraction (unitless)
• \( d \) — Decimal number to divide by (unitless)

Explanation: Dividing by a decimal is equivalent to multiplying by its reciprocal. The calculator then simplifies the resulting fraction to its lowest terms.

3. Importance of Simplifying Fractions

Details: Simplified fractions are easier to understand and work with in further calculations. They represent the most reduced form of the mathematical relationship.

4. Using the Calculator

Tips: Enter the numerator and denominator of your fraction (denominator cannot be zero), and the decimal you want to divide by (must be greater than zero).

5. Frequently Asked Questions (FAQ)

Q1: Can I divide by zero?
A: No, neither the denominator (b) nor the decimal (d) can be zero as division by zero is undefined.

Q2: How does the simplification work?
A: The calculator finds the greatest common divisor (GCD) of the numerator and denominator and divides both by this number.

Q3: What if my decimal has many digits?
A: The calculator will convert it to the closest simplified fraction representation.

Q4: Can I use negative numbers?
A: This calculator is designed for positive numbers only. Negative values will be treated as invalid.

Q5: Why show both fraction and decimal results?
A: Fractions are exact while decimals are approximations. Showing both gives you complete information.