Question

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?

Answer 1

i dunoo

Explanation:

Answer 2

`(17)/(45)`

Explanation:

Fraction on which Rosemary was planted
`=(2)/(9)`

Fraction on which dill was planted
`=(2)/(5)`

Let the fraction on which chives was planted=x

Then:

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

The fraction of the garden on which Chives was planted is
`(17)/(45)`