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Calculator For Fractions And Decimals

Conversion Formula:

\[ \text{Fraction} = \frac{\text{decimal} \times \text{denominator}}{\text{denominator}} \]

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1. What is a Fraction to Decimal Calculator?

Definition: This calculator converts between decimal numbers and fractions with a specified denominator.

Purpose: It helps with precise measurements in woodworking, engineering, and other fields where fractional measurements are common.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \text{Fraction} = \frac{\text{decimal} \times \text{denominator}}{\text{denominator}} \]

Where:

Explanation: The decimal is multiplied by the denominator and rounded to the nearest whole number to get the numerator.

3. Importance of Fraction-Decimal Conversion

Details: Accurate conversion between decimals and fractions is essential for precision work in many trades and technical fields.

4. Using the Calculator

Tips: Enter the decimal value and choose an appropriate denominator (common choices are 16, 32, or 64 for precision work).

5. Frequently Asked Questions (FAQ)

Q1: Why does the calculator show both regular and simplified fractions?
A: The regular fraction shows the exact conversion, while the simplified version shows the most reduced form of the fraction.

Q2: What's the most common denominator used in construction?
A: 16ths and 32nds are most common in construction and woodworking measurements.

Q3: Can I convert fractions back to decimals?
A: Yes, simply divide the numerator by the denominator (e.g., 3/4 = 0.75).

Q4: Why does my result sometimes show 0/denominator?
A: This happens when the decimal value is very small (less than 0.5/denominator) and rounds to zero.

Q5: How precise is this conversion?
A: The precision depends on the denominator you choose - higher denominators allow for more precise representations.

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