To calculate the expression \( \frac{13}{4} \times \frac{15}{4} \times 3 \), you can follow these steps:
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First, multiply \( \frac{13}{4} \) and \( \frac{15}{4} \): \[ \frac{13}{4} \times \frac{15}{4} = \frac{13 \times 15}{4 \times 4} = \frac{195}{16} \]
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Next, multiply the result by 3: \[ \frac{195}{16} \times 3 = \frac{195 \times 3}{16} = \frac{585}{16} \]
Therefore, the final answer is: \[ \frac{585}{16} \]
If you want to convert this to a mixed number: \[ 585 \div 16 = 36 \quad \text{remainder} , 9 \] So, \[ \frac{585}{16} = 36 \frac{9}{16} \]
Thus, the final answers are \( \frac{585}{16} \) or \( 36 \frac{9}{16} \).