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

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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     $$7\frac{1}{3}$$

!

asinus  Jun 17, 2017
edited by asinus  Jun 17, 2017
edited by asinus  Jun 17, 2017
edited by asinus  Jun 19, 2017
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#1
+91225
+1

I think there is a bit of a language problem here asinus

Melody  Jun 17, 2017
#2
+7157
+1

Apparently, but what is wrong, Melody?

asinus  Jun 18, 2017
#3
+1

Look at Melody's answer 3 questions below this one.

Guest Jun 18, 2017
#4
+7157
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This is very embarrassing to me.

asinus  Jun 18, 2017
#5
+833
+1

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
#6
+7157
0

We want to be grateful to Melody!

!

asinus  Jun 19, 2017

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