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$Express 0.0939 as a fraction.$

Express $0$ . $0939$ as a fraction.

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Convert between decimals and fractions

Full solution

Q. Express

0

.

0939

as a fraction.

Identify Place Value: Identify the place value of the last digit in the decimal. $0.0939$ has a ' $9$ ' in the thousandths place.
Write as Fraction: Write the decimal as a fraction with the last digit in the numerator and the corresponding place value as the denominator. $0.0939$ can be written as $\frac{939}{10000}$ because the last digit ' $9$ ' is in the thousandths place.
Simplify Fraction: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator and then divide both by the GCD. $\newline$ The GCD of $939$ and $10000$ is $1$ , so the fraction cannot be simplified further.
Write Final Fraction: Write the final simplified fraction. $\newline$ The fraction is $\frac{939}{10000}.$

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