Final answer:
To divide and simplify the expression p = (13(1)/(2)) ÷ (7(4)/(5)), multiply the numerator and denominator by the reciprocal of the divisor and simplify the resulting fraction.
Step-by-step explanation:
To divide and simplify the expression p = (13(1)/(2)) ÷ (7(4)/(5)), we can multiply the numerator and denominator by the reciprocal of the divisor, which is (5)/(7(4)).
This gives us p = (13(1)/(2)) × ((5)/(7(4))).
Simplifying, we get p = (13/2) × (5/(7 × 4)).
Multiplying the numerators and denominators, we have p = (13 × 5) / (2 × 7 × 4).
Finally, calculating the result, we get p = 65 / 56.