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Convert the decimal below to a fraction in simplest form. 0.86 Answer:

Convert the decimal below to a fraction in simplest form.\newline0.86 0.86 \newlineAnswer:

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Full solution

Q. Convert the decimal below to a fraction in simplest form.\newline0.86 0.86 \newlineAnswer:
  1. Write as Fraction: To convert the decimal 0.860.86 to a fraction, we first write it as a fraction with a denominator of 100100, since there are two digits after the decimal point.\newline0.86=861000.86 = \frac{86}{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 8686 and 100100 is 22.
  3. Simplify Fraction: We divide both the numerator and the denominator by the GCD to simplify the fraction.\newline(86÷2)/(100÷2)=4350(86 \div 2) / (100 \div 2) = \frac{43}{50}
  4. Check for Further Simplification: We check to see if the fraction can be simplified further. Since there are no common factors between 4343 and 5050 other than 11, the fraction is already in its simplest form.

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