It is given that one-half of a property is mowed, the rest is left wild, and then one-fifth of the wild area is used for a garden. It is required to calculate the fraction used for the garden.
Since one half of the property was mowed, the fraction left wild is:
[tex]1-\frac{1}{2}=\frac{1}{2}[/tex]One-fifth of the wild area is used for vegetable garden. Since 'of' means multiplication, it follows that the fraction used for the garden is:
[tex]\frac{1}{5}\; of\; \frac{1}{2}=\frac{1}{5}\times\frac{1}{2}=\frac{1}{10}[/tex]A pictorial representation is shown below:
The required fraction used for the garden is 1/10.