Aunt Thelma planted an herb garden. She planted rosemary in 2/9 of the garden. She
planted dill on 2/5 of the garden. She planted chives in the remaining part of the garden.
What fraction of the garden did she plant with chives?

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]

i dunoo

Step-by-step explanation: