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Express 0.2826 as a fraction.

Express 00.28262826 as a fraction.

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Q. Express 00.28262826 as a fraction.
  1. Identify Decimal Place Value: Identify the place value of the last digit in the decimal. 0.28260.2826 has four decimal places, so the last digit is in the ten-thousandths place.
  2. Write Decimal as Fraction: Write the decimal as a fraction with the last digit in the numerator and the corresponding place value as the denominator. 0.28260.2826 can be written as 282610000\frac{2826}{10000} because the last digit is in the ten-thousandths place.
  3. Find Greatest Common Divisor: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator.\newlineThe GCD of 28262826 and 1000010000 is 22.
  4. Simplify Fraction: Divide both the numerator and the denominator by the GCD to simplify the fraction.\newline2826÷2=14132826 \div 2 = 1413\newline10000÷2=500010000 \div 2 = 5000\newlineSo, 0.28260.2826 as a simplified fraction is 14135000\frac{1413}{5000}.

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