Q1: How do I convert a decimal to a fraction?
To convert a decimal to a fraction, write the decimal as a fraction with a denominator that is a power of 10, then simplify. For example, 0.75 = 75/100 = 3/4. The calculator uses the greatest common divisor (GCD) to simplify the fraction automatically.
Q2: How are repeating decimals converted to fractions?
Repeating decimals require special conversion methods. For example, 0.333... = 1/3. The calculator approximates repeating decimals to a high precision (1,000,000) and then simplifies, which works well for most practical purposes.
Q3: What if my decimal has many decimal places?
The calculator handles decimals with up to 6 decimal places accurately. For very precise decimals, it uses a precision of 1,000,000 to convert, then simplifies using the greatest common divisor to get the simplest fraction form.
Q4: Can negative decimals be converted to fractions?
Yes, negative decimals can be converted to fractions. The negative sign applies to the entire fraction. For example, -0.5 = -1/2. The calculator preserves the sign in the conversion process.
Q5: What is the simplest form of a fraction?
A fraction is in simplest form when the numerator and denominator have no common factors other than 1. The calculator uses the greatest common divisor (GCD) algorithm to automatically reduce fractions to their simplest form.
Q6: Why might the fraction look different than expected?
The calculator converts decimals to fractions using high precision and then simplifies. Some decimals may result in fractions that look different but are mathematically equivalent. For example, 0.5 = 1/2, and 0.25 = 1/4.