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Convert the decimal below to a fraction in simplest form.

0.92
Answer:

Convert the decimal below to a fraction in simplest form.\newline0.92 0.92 \newlineAnswer:

Full solution

Q. Convert the decimal below to a fraction in simplest form.\newline0.92 0.92 \newlineAnswer:
  1. Convert to Fraction: Express the decimal 0.920.92 as a fraction with a denominator of 100100. \newline0.920.92 can be written as 92100\frac{92}{100} because there are two digits after the decimal point.
  2. Find GCD: Simplify the fraction 92100\frac{92}{100} by finding the greatest common divisor (GCD) of 9292 and 100100. The GCD of 9292 and 100100 is 44.
  3. Simplify Fraction: Divide both the numerator and the denominator by the GCD to simplify the fraction.\newline92÷4=2392 \div 4 = 23\newline100÷4=25100 \div 4 = 25\newlineSo, 92100\frac{92}{100} simplifies to 2325\frac{23}{25}.

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