We are asked to find the product of a fraction times a mixed number as shown below:
[tex]\frac{3}{5}\cdot4\frac{1}{3}[/tex]So we proceed to convert the mixed number into an improper fraction as shown:
[tex]4\frac{1}{3}=\frac{12}{3}+\frac{1}{3}=\frac{13}{3}[/tex]and now we complete the product of fractions:
[tex]\frac{3}{5}\cdot\frac{13}{3}=\frac{13}{5}=2\frac{3}{5}[/tex]which gives as answer the improper fraction 13/5 which we can convert in mixed number as: 2 3/5
