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Answer:
7/1 or 7.
Step-by-step explanation:
Turn 2 2/3 into an improper fraction:
[tex]2\frac{2}{3} =\frac{3}{3} +\frac{3}{3}+\frac{2}{3}=\frac{8}{3}[/tex]
Turn 5 3/5 into an improper fraction:
[tex]5\frac{3}{5} =\frac{5}{5} +\frac{5}{5} +\frac{5}{5} +\frac{5}{5} +\frac{5}{5} +\frac{3}{5} = \frac{28}{3}[/tex]
Find the reciprocal (opposite) of 8/3, then multiply:
[tex]\frac{28}{3} \times\frac{3}{8} =\frac{84}{24}[/tex]
Divide 84/24 by 12:
[tex]\frac{84\div12}{12\div12} = \frac{7}{1}[/tex]
Your simplified answer is 7/1, or 7.