Simplify (2/3)2÷(4/5)3*(3/5)2
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=>(2/3)2÷(4/5)3×(3/5)2
=> 2/3×2 ÷ 4/5×3 × 3/5×2
=> 4/3 ÷ 12/5 × 6/5
=> 4/3×5/12 × 6/5
=> 5/9 × 6/5
=> 2/3
hence, 2/3 is the answer.
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