1. What is 0.571428571429 as a Fraction?

The decimal 0.571428571429 is equivalent to the fraction 4/7. This is a repeating decimal that exactly represents the fraction four sevenths.

2. How to Convert Decimals to Fractions

The conversion process involves finding the nearest integer ratio that represents the decimal value:

Steps:

1. Multiply the decimal by a power of 10 to make it an integer
2. Find the greatest common divisor (GCD) of numerator and denominator
3. Divide both by the GCD to simplify

3. Understanding the Conversion

Mathematical Basis: The fraction 4/7 is exactly equal to 0.571428571428... with "571428" repeating infinitely. The calculator shows the closest fraction representation based on the selected precision level.

4. Using the Calculator

Instructions: Enter any decimal number (0.571428571429 is pre-filled), select the desired precision level, and click "Convert" to see the fractional equivalent.

5. Frequently Asked Questions (FAQ)

Q1: Why does 0.571428571429 equal 4/7?
A: When you divide 4 by 7, you get the repeating decimal 0.571428571428..., making 4/7 the exact fractional equivalent.

Q2: What's the difference between precision levels?
A: Low precision gives simple fractions (1/2, 1/4), medium offers more precision (1/8, 1/16), and high calculates the exact fraction.

Q3: Can all decimals be converted to exact fractions?
A: Only terminating or repeating decimals can be exactly converted. Irrational numbers can only be approximated.

Q4: Why does 4/7 repeat?
A: When the denominator (after simplifying) has prime factors other than 2 or 5, the decimal representation repeats.

Q5: How accurate is this conversion?
A: The high-precision mode is mathematically exact for rational numbers. Lower precision modes provide practical approximations.