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Convert the decimal below to a fraction in simplest form. 0.365 Answer:

Convert the decimal below to a fraction in simplest form.\newline0.365 0.365 \newlineAnswer:

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Full solution

Q. Convert the decimal below to a fraction in simplest form.\newline0.365 0.365 \newlineAnswer:
  1. Write Decimal as Fraction: Write the decimal as a fraction with a denominator that reflects its place value.\newlineSince 0.3650.365 has three decimal places, it is in the thousandths place. Therefore, we can write it as a fraction over 10001000.\newline0.365=36510000.365 = \frac{365}{1000}
  2. Find Greatest Common Divisor: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator.\newlineThe GCD of 365365 and 10001000 is 55.
  3. Simplify Fraction: Divide both the numerator and the denominator by the GCD to simplify the fraction.\newline365÷5=73365 \div 5 = 73\newline1000÷5=2001000 \div 5 = 200\newlineSo, 3651000\frac{365}{1000} simplifies to 73200\frac{73}{200}.

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