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percent means "out of 100"

→ 66⅔% = 66⅔/100

= 66⅔ × 1/100

= (66×3+2)/3 × 1/100

= 200/3 × 1/100

= (200×1)/(3×100)

= (2×100)/(3×100)

= ⅔

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