Question
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
Upstudy AI Solution
Tutor-Verified Answer
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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Extra Insights
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.