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

Answer:

$\frac{1}{15}$

Step-by-step 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.

$1-\frac{4}{5}$

Make a common denominator:

$\frac{5}{5}-\frac{4}{5}$

$\frac{5-4}{5}$

$\frac{1}{5}$

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.

$\frac{1}{5}\times \frac{2}{3}$

$\frac{2}{15}$

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

$\frac{1}{5}-\frac{2}{15}$

Make a common denominator:

$\frac{3}{15}-\frac{2}{15}$

$\frac{3-2}{15}$

$\frac{1}{15}$

Therefore, $\frac{1}{15}$ of the house in left to paint.

Answer 2

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.