I think that the answer would be 9/80, I used a calculator and double checked, so I think that it is correct.
Good Luck, Hope I helped:)
[tex]\bf \cfrac{3}{4}\cdot \cfrac{5}{8}\cdot \cfrac{6}{25}\implies \cfrac{3}{4}\cdot \cfrac{5}{25}\cdot \cfrac{6}{8}\implies \cfrac{3}{4}\cdot \cfrac{1}{5}\cdot \cfrac{3}{4}\implies \cfrac{3\cdot 1\cdot 3}{4\cdot 5\cdot 4}\implies \cfrac{9}{80}[/tex]
