To solve the expression \( \frac{2}{3} \cdot \left( \frac{5 \cdot 46}{9} \right) \), we can follow these steps:
Calculate \( 5 \cdot 46 \): \[ 5 \cdot 46 = 230 \]
Now, substitute this back into the expression: \[ \frac{2}{3} \cdot \left( \frac{230}{9} \right) \]
Multiply the fractions: \[ \frac{2 \cdot 230}{3 \cdot 9} = \frac{460}{27} \]
So, the final answer is: \[ \frac{460}{27} \]
If you want it in decimal form: \[ 460 \div 27 \approx 17.037 \]
Thus, \( \frac{460}{27} \) or approximately \( 17.037 \).
