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?

Step-by-step explanation:

Given : The fraction of Perry's garden is planted with tomatoes=  

The fraction of Perry's garden is planted with peppers =

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

=

Then, the fraction of the remaining part =

 [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 =

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: