Final answer:
The quotient is 800.
Step-by-step explanation:
To find the quotient, we need to divide one fraction by another. First, let's find the value of the numerator:
40 ÷ (7/8) ÷ (4/14) = 40 × (8/7) × (14/4) = 320 × 14 ÷ 28 = 160.
Next, let's find the value of the denominator:
(3/15) = 3 ÷ 15 = 1/5.
Finally, let's divide the numerator by the denominator:
160 ÷ (1/5) = 160 × 5 = 800.
Therefore, the quotient is 800.