1/6 part of the garden is covered with rose flowers.
A ratio is an ordered pair of numbers a and b, written as a/b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.
Given
Tanisha plants 2/3 of her garden with flowers.
She covers 1/4 of this part of the garden with roses.
The part of her whole garden does Tanisha plant with roses.
Suppose the area of the garden is a.
Tanisha plants 2/3 of her garden with flowers.
then 2a/3 is planted with flowers.
She covers 1/4 of this part of the garden with roses.
then 2a/3 of 1/4 is planted with flowers.
So on solving
[tex]\dfrac{2a}{3} * \dfrac{1}{4} = \dfrac{1}{6}a[/tex]
Thus 1/6 part of the garden is covered with rose flowers.
More about the ratio and proportion link is given below.
https://brainly.com/question/165414