Question

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

Answer 1

After Jon’s painted 4/5 of the house, he has 1/5 left. 1/3 of 1/5 is 1/15, so 2/3 of 1/5 is 2/15. He has 1/5 = 3/15 left to paint, and he paints another 2/15, so the leaves him with 3/15 - 2/15 = 1/15 of the house left to paint.

Answer 2

`(1)/(15)`

Explanation:

We have been given that Jon has painted 4/5 of his house the next day he painted 2/3.

Let us find part of house remaining to paint after 1st day.

`1-(4)/(5)`

Make a common denominator:

`(5)/(5)-(4)/(5)`

`(5-4)/(5)`

`(1)/(5)`

We are also told next day, he painted 2/3 of what he had left. Let us find amount of house painted after second day.

`(1)/(5)* (2)/(3)`

`(2)/(15)`

Now, we will subtract 2/15 from 1/5 to find part of house left to paint.

`(1)/(5)-(2)/(15)`

Make a common denominator:

`(3)/(15)-(2)/(15)`

`(3-2)/(15)`

`(1)/(15)`

Therefore,
`(1)/(15)` of the house in left to paint.