Tameka built 1/2 of a shed on Monday and 2/5 of the shed on Tuesday. Tameka finished building the shed on Wednesday. What fraction of the shed did she build on Wednesday? help please

Verified Answer :

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.