Question

what is greater, 2/3 or 2/4

Answer 1

To compare \( \frac{2}{3} \) and \( \frac{2}{4} \), we can convert them to decimal form or find a common denominator.

1. **Decimal form**:
- \( \frac{2}{3} \approx 0.667 \)
- \( \frac{2}{4} = 0.5 \)

Since \( 0.667 \) is greater than \( 0.5 \), we can conclude that:

\[
\frac{2}{3} > \frac{2}{4}
\]

2. **Common denominator**:
- The least common denominator of 3 and 4 is 12.
- Convert \( \frac{2}{3} \) and \( \frac{2}{4} \) to have the same denominator:
- \( \frac{2}{3} = \frac{8}{12} \)
- \( \frac{2}{4} = \frac{6}{12} \)

Since \( \frac{8}{12} > \frac{6}{12} \), we also find:

\[
\frac{2}{3} > \frac{2}{4}
\]

Therefore, \( \frac{2}{3} \) is greater than \( \frac{2}{4} \).