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Express 0.1846 as a fraction.

Express 00.18461846 as a fraction.

Full solution

Q. Express 00.18461846 as a fraction.
  1. Identify Place Value: Identify the place value of the last digit in the decimal. 0.18460.1846 has four digits after the decimal point, so the last digit is in the ten-thousandth place.
  2. Write as Fraction: Write the decimal as a fraction with the identified place value as the denominator.\newlineSince the last digit is in the ten-thousandth place, the fraction will have a denominator of 10,00010,000.\newline0.1846=1846100000.1846 = \frac{1846}{10000}
  3. Simplify Fraction: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator.\newlineThe GCD of 18461846 and 1000010000 is 22.
  4. Divide by GCD: Divide both the numerator and the denominator by the GCD to simplify the fraction. \newline1846÷2=9231846 \div 2 = 923\newline10000÷2=500010000 \div 2 = 5000\newlineSo, 0.18460.1846 as a simplified fraction is 9235000\frac{923}{5000}.