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]