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Write $0.21$ as a fraction.

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Convert between decimals and fractions

Full solution

Q. Write

0.21

as a fraction.

Convert to Fraction: To convert a decimal to a fraction, we need to consider the place value of the last digit in the decimal. In $0.21$ , the last digit, $1$ , is in the hundredths place, which means $0.21$ can be written as $21$ over $100$ . $\newline$ Calculation: $0.21 = \frac{21}{100}$
Simplify Fraction: Now, we should simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator and then divide both by that number. The GCD of $21$ and $100$ is $1$ , so the fraction is already in its simplest form. $\newline$ Calculation: $\text{GCD}(21, 100) = 1$
Final Answer: Since the fraction cannot be simplified further, we have our final answer. $\newline$ Final Answer: $0.21$ as a fraction is $\frac{21}{100}$ .

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