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$Convert the decimal below to a fraction in simplest form. 0.827 Answer:$

Convert the decimal below to a fraction in simplest form. $\newline$ $0.827$ $\newline$ Answer:

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Combinations and permutations

Full solution

Q. Convert the decimal below to a fraction in simplest form.

\newline

0.827

\newline

Answer:

Convert to Fraction: Express the decimal as a fraction with a denominator of $1000$ , since there are three decimal places. $0.827 = \frac{827}{1000}$
Find GCD: Find the greatest common divisor (GCD) of the numerator and the denominator to simplify the fraction. $\newline$ The GCD of $827$ and $1000$ is $1$ , since $827$ is a prime number.
Simplify Fraction: Divide both the numerator and the denominator by the GCD to simplify the fraction. $\newline$ Since the GCD is $1$ , the fraction is already in its simplest form. $\newline$ $\frac{827}{1000} = \frac{827}{1000}$

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