Answer:
4/27
Step-by-step explanation:
You want the solution to ...
5/9 ÷ x = 3 3/4
Solution
Multiplying both sides of the equation by x gives ...
5/9 = (3 3/4)x
Then dividing by 3 3/4 gives the value of x:
(5/9) / (3 3/4) = x
(5/9) / (15/4) = x . . . . . change divisor to an improper fraction
(5/9) × (4/15) = x . . . . . division is multiplication by the inverse
(5·4)/(9·15) = x = 4/27
