Answer:
P = 14/45
Step-by-step explanation:
assuming P is to be left as a fraction
P / (2/5) = 7/9
* flip 2/5 (the second fraction)
P x (5/2) = 7/9
*and multiply it by P
5P/2 = 7/9
* multiply both sides by 2/5, the inverse of 5/2, to get P by itself
(2/5) (5P/2) = (2/5) (7/9)
7 x 2 = 14
9 x 5 = 45
and check
(14/45) / (2/5) ? (7/9
(14/45) / (5/2) ? (7/9
* cross cancel
14/2 = 7, 45/5 = 9
7/9 = 7/9
hope this helps
