Answer: 14/15
Step-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.