Question

2/3 __ 2/4

Answer 1

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

1. **Finding a common denominator**:
- The denominators are 3 and 4. The least common multiple (LCM) of 3 and 4 is 12.
- Convert \( \frac{2}{3} \) to a fraction with a denominator of 12:
\[
\frac{2}{3} = \frac{2 \times 4}{3 \times 4} = \frac{8}{12}
\]
- Convert \( \frac{2}{4} \) to a fraction with a denominator of 12:
\[
\frac{2}{4} = \frac{2 \times 3}{4 \times 3} = \frac{6}{12}
\]

2. **Now compare \( \frac{8}{12} \) and \( \frac{6}{12} \)**:
- Since \( 8 > 6 \), we know that \( \frac{8}{12} > \frac{6}{12} \).

Thus, \( \frac{2}{3} > \frac{2}{4} \).

So, the final comparison is:
\[
\frac{2}{3} > \frac{2}{4}
\]