I need help! (7.2)/(x) =(.25)/(1(1)/(9) )

Question

I need help!


`(7.2)/(x) =(.25)/(1(1)/(9) )`

Answer 1

`\text{Convert the mixed number to the improper fraction}\\\\1(1)/(9)=(1\cdot9+1)/(9)=(10)/(9)\\\\(7.2)/(x)=(0.25)/((10)/(9))\qquad\text{cross multiply}\\\\0.25x=(7.2\cdot10)/(9)\\\\0.25x=(72)/(9)\\\\0.25x=8\qquad\text{multiply both sides by 4}\\\\1x=32\\\\\boxed{x=32}`