Question

An art exhibition contains paintings, sculptures, and drawings. 1/4 of the works on display are sculptures, 2/5 are paintings, and the remainder are drawings. What fraction of the work on display are drawings?

Answer 1

The fraction of the work that are drawings is
`(7)/(20)`

Explanation:

we have that

100%=100/100=1

we know that

The sum of the fractions of the works must be equal to 1

Let

x -----> the fraction of the work that are drawings

so

`1=(1)/(4)+(2)/(5)+x`

Solve for x

`1=(13)/(20)+x`

Subtract 13/30 both sides

`x=1-(13)/(20)`

`x=(7)/(20)`