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Answer :

5 7/9 divided by 3

At first, let us make the mixed number an improper fraction

[tex]\because5\frac{7}{9}=\frac{5\times9+7}{9}=\frac{45+7}{9}=\frac{52}{9}[/tex]

Now, we will divide 52/9 by 3

52/9 ÷ 3 = 52/9 x 1/3

To make the division we will change it to multiplication and reciprocal the number after the division sign

[tex]\frac{52}{9}\times\frac{1}{3}=\frac{52}{27}[/tex]

We will divide 52 by 27

∵ 1 x 27 = 27

∵ 52 - 27 = 25

[tex]\therefore\frac{52}{27}=1\frac{25}{27}[/tex]

The answer is 1 25/27