Final answer:
The quotient of 4/1/7 ÷ 2/3 is 6/7.
Step-by-step explanation:
To find the quotient of 4/1/7 ÷ 2/3, we need to simplify the fractions and then perform the division. Simplifying 4/1/7, we get 4/1 divided by 7, which is equal to 4/7. Similarly, simplifying 2/3, we get 2 divided by 3, which is equal to 2/3. Now we can divide 4/7 by 2/3. In division, we multiply the first fraction by the reciprocal of the second fraction. So, the quotient of 4/1/7 ÷ 2/3 is (4/7) × (3/2), which simplifies to 12/14 or 6/7.