Respuesta :
Answer:
[tex]\dfrac{17}{45}[/tex]
Step-by-step explanation:
Fraction on which Rosemary was planted [tex]=\dfrac{2}{9}[/tex]
Fraction on which dill was planted [tex]=\dfrac{2}{5}[/tex]
Let the fraction on which chives was planted=x
Then:
[tex]\dfrac{2}{9}+\dfrac{2}{5}+x=1\\$Since the LCM of 9 and 5 is 45\\We multiply all through by 45\\45\left(\dfrac{2}{9}\left)+45\left(\dfrac{2}{5}\right)+45x=45(1)$\\10+18+45x=45\\45x=45-28\\45x=17\\Divide both sides by 45\\x=\dfrac{17}{45}[/tex]
The fraction of the garden on which Chives was planted is [tex]\dfrac{17}{45}[/tex]