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Express 0.7723 as a fraction.

Express 00.77237723 as a fraction.

Full solution

Q. Express 00.77237723 as a fraction.
  1. Identify Place Value: Identify the place value of the last digit in the decimal.\newlineThe last digit in 0.77230.7723 is 33, which is in the ten-thousandth place.
  2. Write as Fraction: Write the decimal as a fraction with the denominator corresponding to the place value of the last digit.\newlineSince the last digit is in the ten-thousandth place, the fraction will have a denominator of 1000010000. So, 0.77230.7723 can be written as 772310000\frac{7723}{10000}.
  3. Simplify Fraction: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator.\newlineThe GCD of 77237723 and 1000010000 is 11, which means the fraction is already in its simplest form.