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$Express 0.0162 as a fraction.$

Express $0$ . $0162$ as a fraction.

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Convert between decimals and fractions

Full solution

Q. Express

0

.

0162

as a fraction.

Identify place value: Identify the place value of the last digit in the decimal. $\newline$ The last digit in $0.0162$ is in the ten-thousandths place.
Write as fraction: Write the decimal as a fraction with the denominator corresponding to the place value. $\newline$ Since the last digit is in the ten-thousandths place, the fraction will have a denominator of $10000$ . $\newline$ $0.0162 = \frac{162}{10000}$
Simplify fraction: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator. $\newline$ The GCD of $162$ and $10000$ is $2$ .
Divide numerator and denominator: Divide both the numerator and the denominator by the GCD to simplify the fraction. $\newline$ $162 \div 2 = 81$ $\newline$ $10000 \div 2 = 5000$ $\newline$ So, $0.0162$ as a simplified fraction is $\frac{81}{5000}$ .

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