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Convert the decimal below to a fraction in simplest form.

0.992
Answer:

Convert the decimal below to a fraction in simplest form.\newline0.992 0.992 \newlineAnswer:

Full solution

Q. Convert the decimal below to a fraction in simplest form.\newline0.992 0.992 \newlineAnswer:
  1. Convert to Fraction: Express the decimal 0.9920.992 as a fraction with a denominator that reflects its place value.\newlineSince there are three digits after the decimal point, the place value is in the thousandths. Therefore, we can write 0.9920.992 as 9921000\frac{992}{1000}.
  2. Find GCD: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator.\newlineThe GCD of 992992 and 10001000 is 88.
  3. Simplify Fraction: Divide both the numerator and the denominator by the GCD to simplify the fraction. 992÷8=124992 \div 8 = 124 1000÷8=1251000 \div 8 = 125 So, 0.9920.992 as a simplified fraction is 124125.\frac{124}{125}.

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