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Convert the decimal below to a fraction in simplest form. 0.15 Answer:

Convert the decimal below to a fraction in simplest form.\newline0.15 0.15 \newlineAnswer:

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Full solution

Q. Convert the decimal below to a fraction in simplest form.\newline0.15 0.15 \newlineAnswer:
  1. Write as Fraction: To convert the decimal 0.150.15 to a fraction, we first write it as a fraction with a denominator of 100100, since there are two digits after the decimal point.\newline0.15=151000.15 = \frac{15}{100}
  2. Find GCD: Next, we simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 1515 and 100100 is 55.
  3. Simplify Fraction: We then divide both the numerator and the denominator by the GCD to simplify the fraction.\newline(15÷5)/(100÷5)=320(15 \div 5) / (100 \div 5) = \frac{3}{20}
  4. Check for Further Simplification: We check to see if the fraction can be simplified further. Since there are no common factors between 33 and 2020 other than 11, the fraction is in its simplest form.

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