Answer :
A fraction "of" another fraction "of" another fraction, and so on, means the product of those fractions.
So, to find "5/8 of 2/3 of 3/10 of 27" we need to solve:
[tex]\frac{5}{8}\cdot\frac{2}{3}\cdot\frac{3}{10}\cdot27[/tex]Now, we can rearrange the order of the numerators in order to simplify the fractions before calculating the products:
[tex]\begin{gathered} \frac{5}{8}\cdot\frac{2}{3}\cdot\frac{3}{10}\cdot27=\frac{5\cdot2\cdot3}{8\cdot10\cdot3}\cdot27=\frac{30}{8\cdot30}\cdot27=\frac{1}{8}\cdot27=\frac{27}{8} \\ \\ =3.375 \end{gathered}[/tex]Therefore, this is the same as 1/8 of 27, which is 3.375.