1/18We're asked to multiply the fractions:[tex]\sf \cfrac{1}{8}\times\cfrac{4}{9}[/tex]Multiply the numerator of the first fraction times the numerator of the second fraction:[tex]\sf 1*4=4[/tex]Repeat the process with denominators.[tex]\sf 8*9=72[/tex]Our fraction is:[tex]\sf \cfrac{4}{72}[/tex]Reduce by dividing the top & bottom by 4.[tex]\sf \cfrac{1}{18}[/tex]