To compare the fractions \( \frac{2}{3} \) and \( \frac{2}{4} \), we can convert them to a common denominator or compare their decimal values.
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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: \[ \frac{2}{4} = \frac{2 \times 3}{4 \times 3} = \frac{6}{12} \]
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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: \[ \frac{2}{3} > \frac{2}{4} \]