Question

Translate and Solve: The quotient of p and 2/5 is equal to 7/9.

Translation:

P=

Answer 1

P = 14/45

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

Answer 2

14/45

Explanation:

Quotient is fraction

P/(2/5) = 7/9

P = 7/9 × 2/5

P = 14/45