Answer: 4/7
Step-by-step explanation: In this problem, we have 4/9 ÷ 7/9. Dividing by a fraction is the same as multiplying by its reciprocal. In other words, we can change the division to multiplication and flip the second fraction.
So here, 4/9 divided by 7/9 can be rewritten as 4/9 × 9/7.
Now we are simply multiplying fractions.
To multiply fractions, we multiply across the numerators and multiply across the denominators.
Image provided.
Notice however that 36/63 is not in lowest terms so we divide both the numerator and denominator by 9 and we get the equivalent fraction 4/7.
Therefore, 4/9 divided by 7/9 = 4/7.