The given expression is
[tex]1\frac{3}{8}\ast\frac{1}{7}[/tex]At first, change the first mixed number to improper fraction
[tex]1\frac{3}{8}=\frac{1\times8+3}{8}=\frac{8+3}{8}=\frac{11}{8}[/tex]Now you can multiply the two fractions by multiplying their numerators and multiplying their denominators
[tex]\frac{11}{8}\ast\frac{1}{7}=\frac{11\ast1}{8\ast7}=\frac{11}{56}[/tex]The simplest form of the expression is 11/56