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Answer:14/15Step-by-step explanation:In this problem, we have 7/9 ÷ 5/6. Dividing by a fraction is the same as multiplying by its reciprocal. In other words, we can change the division sign to multiplication and flip the second fraction.So here, 7/9 ÷ 5/6 can be rewritten as 7/9 × 6/5.Now we're simply multiplying fractions so we multiply across the numerators and we multiply across the denominators.7/9 × 6/5 = 42/45.Notice however that 42/45 is not in lowest terms so we need to divide the numerator and the denominator by the greatest common factor of 42 and 5 which is 3 and we end up with the equivalent fraction 14/15.Therefore, 7/9 ÷ 5/6 = 14/15....

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