Question

Aunt Thelma planted an herb garden. She planted rosemary in 2/9 of the garden. She

Answer 1

Answer:

$\dfrac{17}{45}$

Step-by-step explanation:

Fraction on which Rosemary was planted $=\dfrac{2}{9}$

Fraction on which dill was planted $=\dfrac{2}{5}$

Let the fraction on which chives was planted=x

Then:

$\dfrac{2}{9}+\dfrac{2}{5}+x=1\\ Since the LCM of 9 and 5 is 45\\We multiply all through by 45\\45\left(\dfrac{2}{9}\left)+45\left(\dfrac{2}{5}\right)+45x=45(1) \\10+18+45x=45\\45x=45-28\\45x=17\\Divide both sides by 45\\x=\dfrac{17}{45}$

The fraction of the garden on which Chives was planted is $\dfrac{17}{45}$