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$Convert the decimal below to a fraction in simplest form. 0.427 Answer:$

Convert the decimal below to a fraction in simplest form. $\newline$ $0.427$ $\newline$ Answer:

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Combinations and permutations

Full solution

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

\newline

0.427

\newline

Answer:

Convert to Fraction: Express the decimal as a fraction with a denominator that reflects the place value of the furthest right digit. $0.427$ can be written as $\frac{427}{1000}$ since the $7$ is in the thousandths place.
Find GCD: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator. $\newline$ The GCD of $427$ and $1000$ is $1$ , since $427$ is a prime number and does not have any common divisors with $1000$ other than $1$ .
Simplify Fraction: Divide both the numerator and the denominator by the GCD to simplify the fraction. $\newline$ Since the GCD is $1$ , dividing $427$ by $1$ gives $427$ , and dividing $1000$ by $1$ gives $1000$ . Therefore, the fraction is already in its simplest form.
Write Final Fraction: Write the final simplified fraction. $\newline$ The fraction is $\frac{427}{1000}$ .

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