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