Sam painted a wall in his. On Monday, he painted half of the wall. He painted 2/3 of the other half on Tuesday, and finished painting the wall o Wednesday. How much of the wall did Sam paint on Wednesday?
1/2 + (2/3)(1/2) = 1/2 + 1/3 = 5/6
That's how much he painted on Mon and Tue. So, that left how much for Wed?
To find out how much of the wall Sam painted on Wednesday, we need to determine how much of the wall he had left to paint after Tuesday.
Let's break down the problem step by step:
1. On Monday, Sam painted half of the wall. Therefore, he had 1/2 of the wall left to paint.
2. On Tuesday, Sam painted 2/3 of the remaining half. To find out how much he painted on Tuesday, we need to multiply the remaining 1/2 by 2/3. This gives us (1/2) * (2/3) = 1/3. So Sam painted 1/3 of the wall on Tuesday.
3. To calculate how much of the wall Sam had left to paint after Tuesday, we subtract the 1/3 he painted on Tuesday from the remaining 1/2 of the wall: (1/2) - (1/3) = (3/6) - (2/6) = 1/6. Therefore, he had 1/6 of the wall left to paint on Wednesday.
4. Since Sam finished painting the wall on Wednesday, we can conclude that he painted the entire remaining 1/6 of the wall on that day.
Therefore, Sam painted 1/6 of the wall on Wednesday.