2 1/5 x 15,22

To multiply the mixed number \(2 \frac{1}{5}\) by \(15.22\), you'll first want to convert the mixed number into an improper fraction. 1. Convert \(2 \frac{1}{5}\) to an improper fraction: \[ 2 \frac{1}{5} = \frac{2 \times 5 + 1}{5} = \frac{10 + 1}{5} = \frac{11}{5} \] 2. Now, multiply the improper fraction by \(15.22\): \[ \frac{11}{5} \times 15.22 \] 3. To perform the multiplication, you can convert \(15.22\) to a fraction. Since \(15.22\) can be written as \(\frac{1522}{100}\), the expression becomes: \[ \frac{11}{5} \times \frac{1522}{100} \] 4. Multiply the numerators and denominators: \[ \frac{11 \times 1522}{5 \times 100} = \frac{16742}{500} \] 5. You can convert this back to a decimal by performing the division: \[ 16742 \div 500 = 33.484 \] So, \(2 \frac{1}{5} \times 15.22 = 33.484\).