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Convert the decimal below to a fraction in simplest form.

0.68
Answer:

Convert the decimal below to a fraction in simplest form.\newline0.68 0.68 \newlineAnswer:

Full solution

Q. Convert the decimal below to a fraction in simplest form.\newline0.68 0.68 \newlineAnswer:
  1. Write as fraction: Write the decimal as a fraction with a denominator of 100100, since there are two digits after the decimal point.\newline0.68=681000.68 = \frac{68}{100}
  2. Find GCD: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator.\newlineThe GCD of 6868 and 100100 is 44.
  3. Simplify fraction: Divide both the numerator and the denominator by the GCD to simplify the fraction.\newline68÷4=1768 \div 4 = 17\newline100÷4=25100 \div 4 = 25\newlineSo, 68100\frac{68}{100} simplifies to 1725\frac{17}{25}.

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