What is 3/4 of 8/9 less than 2/5 of 20?

What is 3/4 of 8/9 less than 2/5 of 20?

3/4 of 8/9 is

$\frac{\frac{8}{9}}{\frac{3}{4}}=\frac{8}{9}\times\frac{4}{3}=\frac{32}{27}$   not correct

corrected $\frac{3}{4}\times\frac{8}{9}=\frac{2}{3}$

2/5 of 20 is

$\frac{20}{\frac{2}{5}}=20\times\frac{5}{2}=50$    not correct

corrected $\frac{2}{5}\times 20=8$

$50-\frac{32}{7}=\frac{7\times 50-32}{7}=\frac{318}{7}=45\frac{3}{7}$    not correct

corrected $8-\frac{2}{3}=\frac{3\cdot 8-2}{3}=\frac{22}{3}=\color{blue} 7\frac{1}{3}$

3/4 of 8/9 is $45\frac{3}{7}$ less than 2/5 of 20   not correct

corrected     $7\frac{1}{3}$

Please excuse my misjudgment!

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