To determine the relationship between \( \frac{6}{5} \cdot \frac{9}{2} \) and \( \frac{6}{5} \), we first need to calculate \( \frac{6}{5} \cdot \frac{9}{2} \).
Calculating:
\[ \frac{6}{5} \cdot \frac{9}{2} = \frac{6 \cdot 9}{5 \cdot 2} = \frac{54}{10} = \frac{27}{5} \]
Now, we need to compare \( \frac{27}{5} \) and \( \frac{6}{5} \):
Since both fractions are over the same denominator of 5, we can compare the numerators directly:
\[ 27 \quad \text{and} \quad 6 \]
Clearly, \( 27 > 6 \).
Thus,
\[ \frac{27}{5} > \frac{6}{5} \]
So the correct symbol is:
\[ \frac{6}{5} \cdot \frac{9}{2} , > , \frac{6}{5} \]
The final statement is:
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