1. What is Decimal to Fraction Conversion?

Decimal to fraction conversion is the process of expressing a decimal number as a fraction (a ratio of two integers). This is useful in mathematics, engineering, and everyday measurements where fractional representations are preferred.

2. How Does the Conversion Work?

The conversion follows these mathematical principles:

Where:

• Decimal — The decimal number to convert
• n — Number of decimal places to consider
• 10^n — Creates the denominator (1 followed by n zeros)

Explanation: The decimal is multiplied by a power of 10 to convert it to an integer numerator, with the same power of 10 as the denominator, then simplified.

3. Step-by-Step Conversion Process

Example: Convert 0.75 to a fraction

1. Count decimal places: 2
2. Multiply by 10² (100): 0.75 × 100 = 75
3. Create fraction: 75/100
4. Simplify by GCD (25): 3/4

4. Using the Calculator

Tips: Enter the decimal number and specify how many decimal places to consider. The calculator will show the exact fractional equivalent.

5. Frequently Asked Questions (FAQ)

Q1: What if my decimal repeats infinitely?
A: This calculator handles terminating decimals. For repeating decimals, special algebraic methods are needed.

Q2: How accurate is the conversion?
A: For terminating decimals, it's mathematically exact. The precision depends on the decimal places you specify.

Q3: Why simplify fractions?
A: Simplified fractions are in their lowest terms, making them easier to understand and work with.

Q4: Can I convert negative decimals?
A: Yes, the calculator handles negative numbers by placing the negative sign before the fraction.

Q5: What's the maximum number of decimal places?
A: This calculator allows up to 6 decimal places for practical purposes.