Answer: 14/15
Step-by-step explanation: When dividing by a fraction, we can change the division sign to multiplication and flip the second fraction.
So 7/9 ÷ 5/6 means the same thing as 7/9 × 6/5.
So when dividing by a fraction, we can just multiply by the reciprocal of that fraction or that fraction flipped.
Next we cross cancel 9 and 6 reduced to 3 and 2 but notice that we can't cross cancel 7 and 5 so we multiply across the numerators and denominators.
Image provided.
Therefore, 7/9 ÷ 5/6 = 14/15.