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

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.

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ApusApus ApusApus · Answer 2 · 2019-10-22T01:43:49+02:00

Answer:

[tex]\frac{1}{15}[/tex]

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.

[tex]1-\frac{4}{5}[/tex]

Make a common denominator:

[tex]\frac{5}{5}-\frac{4}{5}[/tex]

[tex]\frac{5-4}{5}[/tex]

[tex]\frac{1}{5}[/tex]

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.

[tex]\frac{1}{5}\times \frac{2}{3}[/tex]

[tex]\frac{2}{15}[/tex]

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

[tex]\frac{1}{5}-\frac{2}{15}[/tex]

Make a common denominator:

[tex]\frac{3}{15}-\frac{2}{15}[/tex]

[tex]\frac{3-2}{15}[/tex]

[tex]\frac{1}{15}[/tex]

Therefore, [tex]\frac{1}{15}[/tex] of the house in left to paint.