Jon has painted 4/5 of his house. The next day he painted 2/3 of what he had left. What fraction of the house is left to paint?

Question

asked Nov 9, 2017 115k views

2 Answers

Senia · Answer 1 · 2017-11-12T02:18:35+0000

Answer:

$\displaystyle(1)/(15)\text{ fraction of the house is left to paint.}$

Explanation:

We are given the following information in the question:

Amount of house painted by John =
$\displaystyle(4)/(5)$

House left to be painted =

$1-\displaystyle(4)/(5) = (1)/(2)$

The next day he painted 2/3 of what was left.

House painted next day =

$\displaystyle(1)/(5)* (2)/(3) = (2)/(15)$

Fraction of the house is left to paint =

$1 - \displaystyle(4)/(5)-(2)/(15) = (15-12-2)/(15) = (1)/(15)$

$\displaystyle(1)/(15)\text{ \bold{fraction of the house is left to paint.}}$

TLP · Answer 2 · 2017-11-14T02:30:30+0000

Jon has painted 4/5 of his house at the first day. Then

1-(4)/(5) =(5)/(5) -(4)/(5) =(1)/(5)

left.

The next day he painted 2/3 of what he had left. This is exactly 2/3 from 1/5. Mathematically you should multiply these two fractions:

$(2)/(3)\cdot (1)/(5) =(2\cdot 1)/(3\cdot 5) =(2)/(15)$

he has painted the second day.

Now count how much he has painted at first and second days:

$(4)/(5)+(2)/(15)=(4\cdot 3+2)/(15)=(14)/(15) .$

Then he has to paint

1-(14)/(15) =(15)/(15)-(14)/(15)=(1)/(15) .

Answer:
(1)/(15) .