Question

1. noah mows \\(\frac{1}{2}\\) of his property and leaves the rest wild. he decides to use \\(\frac{1}{5}\\) of the wild area for a vegetable garden. what fraction of the property is used for the garden? draw a picture to support your answer.

Explanation:

Step1: Find wild area fraction

Wild area = $1 - \frac{1}{2} = \frac{1}{2}$

Step2: Calculate garden fraction

Garden area = $\frac{1}{2} \times \frac{1}{5}$

Step3: Compute final fraction

$\frac{1}{2} \times \frac{1}{5} = \frac{1}{10}$

Visual Explanation (Picture Support):

Draw a rectangle to represent the entire property.

1. Split the rectangle into 2 equal halves; shade 1 half to show the mowed area, the unshaded half is the wild area.
2. Split the unshaded (wild) half into 5 equal smaller parts. Shade 1 of these 5 small parts—this shaded small part represents the vegetable garden, which is $\frac{1}{10}$ of the whole rectangle.

Answer:

$\frac{1}{10}$