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Convert the decimal below to a fraction in simplest form. 0.515 Answer:

Convert the decimal below to a fraction in simplest form.\newline0.515 0.515 \newlineAnswer:

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Full solution

Q. Convert the decimal below to a fraction in simplest form.\newline0.515 0.515 \newlineAnswer:
  1. Write Decimal as Fraction: Write the decimal as a fraction with a denominator that reflects its place value.\newlineSince 0.5150.515 has three decimal places, it is equivalent to 515515 thousandths.\newlineFraction Form: 0.515=51510000.515 = \frac{515}{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 515515 and 10001000 is 55.
  3. Simplify Fraction: Divide both the numerator and the denominator by the GCD to simplify the fraction.\newline515÷5=103515 \div 5 = 103\newline1000÷5=2001000 \div 5 = 200\newlineSimplified Fraction: 103200\frac{103}{200}

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