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!

!

asinus
Jun 17, 2017

#5**+1 **

Don’t fret about it, Asinus.

After years of teaching international students and young children, Melody is a practiced expert at translating English babble into a coherent form.

The only down side is the question asker doesn’t understand her translation, but the rest of us do.

GingerAle
Jun 18, 2017