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Convert the decimal below to a fraction in simplest form. 0.813 Answer:

Convert the decimal below to a fraction in simplest form.\newline0.813 0.813 \newlineAnswer:

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Full solution

Q. Convert the decimal below to a fraction in simplest form.\newline0.813 0.813 \newlineAnswer:
  1. Convert to Fraction: Express the decimal as a fraction with a denominator of 10001000, since there are three decimal places.\newline0.813=81310000.813 = \frac{813}{1000}
  2. Find GCD: Find the greatest common divisor (GCD) of 813813 and 10001000 to simplify the fraction.\newlineThe GCD of 813813 and 10001000 is 11, since 813813 is a prime number.
  3. Simplify Fraction: Divide both the numerator and the denominator by the GCD to simplify the fraction.\newlineSince the GCD is 11, the fraction 8131000\frac{813}{1000} is already in its simplest form.

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