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Convert the decimal below to a fraction in simplest form. 0.78 Answer:

Convert the decimal below to a fraction in simplest form.\newline0.78 0.78 \newlineAnswer:

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Full solution

Q. Convert the decimal below to a fraction in simplest form.\newline0.78 0.78 \newlineAnswer:
  1. Convert to Fraction: Write the decimal as a fraction with a denominator of 100100, since there are two decimal places.0.78=781000.78 = \frac{78}{100}
  2. Find GCD: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator.\newlineThe GCD of 7878 and 100100 is 22.
  3. Simplify Fraction: Divide both the numerator and the denominator by the GCD to simplify the fraction.\newline78÷2=3978 \div 2 = 39\newline100÷2=50100 \div 2 = 50\newlineSo, 78100\frac{78}{100} simplifies to 3950\frac{39}{50}.

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