To solve \( \frac{1}{6} - 0.2 \), we first convert \( 0.2 \) to a fraction:
\[ 0.2 = \frac{2}{10} = \frac{1}{5} \]
Now we need a common denominator to subtract the fractions. The least common multiple of 6 and 5 is 30.
Convert both fractions:
\[ \frac{1}{6} = \frac{5}{30} \]
\[ \frac{1}{5} = \frac{6}{30} \]
Now substitute back into the expression:
\[ \frac{5}{30} - \frac{6}{30} = \frac{5 - 6}{30} = \frac{-1}{30} \]
Thus,
\[ \frac{1}{6} - 0.2 = -\frac{1}{30} \]
