Answer:
\(\displaystyle\frac{1}{15}\text{ fraction of the house is left to paint.}\)
Step-by-step explanation:
We are given the following information in the question:
Amount of house painted by John = \(\displaystyle\frac{4}{5}\)
House left to be painted =
\(1-\displaystyle\frac{4}{5} = \frac{1}{2}\)
The next day he painted 2/3 of what was left.
House painted next day =
\(\displaystyle\frac{1}{5}\times \frac{2}{3} = \frac{2}{15}\)
Fraction of the house is left to paint =
\(1 - \displaystyle\frac{4}{5}-\frac{2}{15} = \frac{15-12-2}{15} = \frac{1}{15}\)
\(\displaystyle\frac{1}{15}\text{ \bold{fraction of the house is left to paint.}}\)
