Perry has a garden.

1/2 of his garden is planted with tomatoes.

1/3 of his garden is planted with peppers.

The remaining part of his garden is planted with flowers.

What fraction of Perry’s garden is planted with flowers?

Respuesta :

1/6 of his garden is flowers because 1/2=3/6 and 1/3=2/6 and when you add those =5/6 and the remaining is flowers so it’s 1/6

Answer: [tex]\dfrac{1}{6}[/tex]

Step-by-step explanation:

Given : The fraction of Perry's garden is planted with tomatoes=  [tex]\dfrac{1}{2}[/tex]

The fraction of Perry's garden is planted with peppers = [tex]\dfrac{1}{3}[/tex]

The fraction of Perry's garden is planted with either tomatoes or peppers

=[tex]\dfrac{1}{2}+\dfrac{1}{3}=\dfrac{3+2}{6}=\dfrac{5}{6}[/tex]

Then, the fraction of the remaining part = [tex]1-\dfrac{5}{6}[/tex]

[tex]=\dfrac{6-5}{6}=\dfrac{1}{6}[/tex]  [In fraction 1 is denoted for complete part.]

Since , the remaining part of his garden is planted with flowers.

Hence, the fraction of Perry’s garden is planted with flowers = [tex]\dfrac{1}{6}[/tex]

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