13/4 x 15/4 x 3

1 answer

To calculate the expression \( \frac{13}{4} \times \frac{15}{4} \times 3 \), you can follow these steps:

  1. First, multiply \( \frac{13}{4} \) and \( \frac{15}{4} \): \[ \frac{13}{4} \times \frac{15}{4} = \frac{13 \times 15}{4 \times 4} = \frac{195}{16} \]

  2. 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 \( 36 \frac{9}{16} \).