2 11/20*1 ,5

To multiply the mixed number \(2 \frac{11}{20}\) by \(1.5\), we can first convert the mixed number into an improper fraction.

1. Convert \(2 \frac{11}{20}\) to an improper fraction: \[ 2 \frac{11}{20} = \frac{(2 \times 20) + 11}{20} = \frac{40 + 11}{20} = \frac{51}{20} \]

2. Convert \(1.5\) to a fraction: \[ 1.5 = \frac{3}{2} \]

3. Now, multiply the two fractions: \[ \frac{51}{20} \times \frac{3}{2} = \frac{51 \times 3}{20 \times 2} = \frac{153}{40} \]

4. Finally, convert \(\frac{153}{40}\) to a mixed number:

   • Divide \(153\) by \(40\):
     • \(153 \div 40 = 3\) (with a remainder of \(33\)).
   • So, we can express this as: \[ 3 \frac{33}{40} \]

Thus, \(2 \frac{11}{20} \times 1.5 = \frac{153}{40}\) or \(3 \frac{33}{40}\).