Noah mows 1/2 of his property and leaves the rest wild. He decides to use 1/5 of the weld area for a vegetable garden. What fraction of the property is used for the garden ?

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Key Concepts

  • Subtraction with fractions
  • Multiplication with fractions

Solving the Question

We're given:

  • [tex]\dfrac{1}{2}[/tex] of the property was mowed
  • [tex]\dfrac{1}{5}[/tex] of the unmowed property was used for a vegetable garden

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.

  • ⇒ [tex]1-\dfrac{1}2}=\dfrac{1}2[/tex]

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]

Answer

Therefore, [tex]\dfrac{1}{10}[/tex] of the property was used for the garden.

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