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Write as a fraction in lowest terms. 0.2 \( 0.2=\square \) (Type an integer or a fraction. Simplify your answer.)

Ask by Reese Thornton. in the United States
Mar 10,2025

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Answer

\(0.2 = \frac{1}{5}\)

Solution

1. Express \(0.2\) as a fraction: \[ 0.2 = \frac{2}{10} \] 2. Simplify the fraction by dividing the numerator and the denominator by their greatest common divisor, which is \(2\): \[ \frac{2 \div 2}{10 \div 2} = \frac{1}{5} \] Thus, \(0.2 = \frac{1}{5}\).

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To express 0.2 as a fraction, you can think of it as \(\frac{2}{10}\) because 0.2 is the same as 2 tenths. Now, simplify \(\frac{2}{10}\) by dividing both the numerator and the denominator by their greatest common divisor, which is 2. This gives: \(\frac{2 \div 2}{10 \div 2} = \frac{1}{5}\) So, \(0.2 = \frac{1}{5}\) in lowest terms.

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