Answer:
[tex]\frac{1}{10}[/tex]
Step-by-step explanation:
Given,
The part of shed built on Monday = [tex]\frac{1}{2}[/tex]
The part built on Tuesday = [tex]\frac{2}{5}[/tex],
Let x be the part built on Wednesday,
If the shed is finished on Wednesday,
Total part of work = 1
[tex]\implies \frac{1}{2}+\frac{2}{5}+x=1[/tex]
[tex]\frac{5+4}{10}+x=1[/tex]
[tex]\frac{9}{10}+x=1[/tex]
[tex]x=1-\frac{9}{10}=\frac{10-9}{10}=\frac{1}{10}[/tex]
Hence, she built [tex]\frac{1}{10}[/tex] shed on Wednesday.
