To compare \( \frac{6}{10} \) and \( \frac{1}{6} \), we can convert both fractions to decimals or find a common denominator.
- Converting to decimals:
- \( \frac{6}{10} = 0.6 \)
- \( \frac{1}{6} \approx 0.1667 \)
Since \( 0.6 > 0.1667 \), we can conclude that \( \frac{6}{10} \) is greater than \( \frac{1}{6} \).
- Alternatively, we could find a common denominator. The least common denominator of 10 and 6 is 30:
- Convert \( \frac{6}{10} \) to a fraction with a denominator of 30: \[ \frac{6}{10} = \frac{6 \times 3}{10 \times 3} = \frac{18}{30} \]
- Convert \( \frac{1}{6} \) to a fraction with a denominator of 30: \[ \frac{1}{6} = \frac{1 \times 5}{6 \times 5} = \frac{5}{30} \]
Now we compare \( \frac{18}{30} \) and \( \frac{5}{30} \). Clearly, \( 18 > 5 \).
So, in both methods, we find that \( \frac{6}{10} \) is greater than \( \frac{1}{6} \). Therefore, \( \frac{6}{10} \) is not less than \( \frac{1}{6} \).