We're given:
We must first find how much of the property was unmowed.
If [tex]\dfrac{1}{2}[/tex] of the property was mowed, then that leaves [tex]\dfrac{1}{2}[/tex] of the property unmowed.
Now, we can find the fraction of the property used for the garden.
[tex]\dfrac{1}5}[/tex] of the [tex]\dfrac{1}2[/tex] of the property was used for the garden. To find this as a fraction, multiply [tex]\dfrac{1}5}[/tex] by [tex]\dfrac{1}2[/tex]:
[tex]\dfrac{1}5*\dfrac{1}2=\dfrac{1}{10}[/tex]
Therefore, [tex]\dfrac{1}{10}[/tex] of the property was used for the garden.