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$Convert the decimal below to a fraction in simplest form. 0.519 Answer: Submit Answer$

Convert the decimal below to a fraction in simplest form. $\newline$ $0.519$ $\newline$ Answer: $\newline$ Submit Answer

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Add, subtract, multiply, and divide complex numbers

Full solution

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

\newline

0.519

\newline

Answer:

\newline

Submit Answer

Write Fraction with Denominator: Write the decimal as a fraction with a denominator that reflects its place value. $0.519$ can be written as $\frac{519}{1000}$ since the last digit, $9$ , is in the thousandths place.
Simplify by Finding GCD: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator. $\newline$ The GCD of $519$ and $1000$ is $1$ , since $519$ is a prime number and does not share any common factors with $1000$ other than $1$ .
Divide to Simplify: Divide both the numerator and the denominator by the GCD to simplify the fraction. $\newline$ Since the GCD is $1$ , dividing $519$ and $1000$ by $1$ will not change the fraction. Therefore, the fraction is already in its simplest form.

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