Question

Which is greater 1/6 or 2/3

Answer 1

To compare the fractions \( \frac{1}{6} \) and \( \frac{2}{3} \), we can convert them to a common denominator or convert them to decimal form.

1. **Finding a common denominator:**
- The least common denominator of 6 and 3 is 6.
- Convert \( \frac{2}{3} \) to a fraction with a denominator of 6:
\[
\frac{2}{3} = \frac{2 \times 2}{3 \times 2} = \frac{4}{6}
\]

Now we can compare \( \frac{1}{6} \) and \( \frac{4}{6} \):
- Since \( \frac{1}{6} < \frac{4}{6} \), it follows that:
\[
\frac{1}{6} < \frac{2}{3}
\]

2. **Using decimal form:**
- \( \frac{1}{6} \approx 0.1667 \)
- \( \frac{2}{3} \approx 0.6667 \)

Based on both methods of comparison, \( \frac{2}{3} \) is greater than \( \frac{1}{6} \).

Thus, \( \frac{2}{3} \) is greater than \( \frac{1}{6} \).