Question

The floor of a rectangular meeting room has a raised platform that is the same length as the room and is 1/6 the width of the room. The length of the room is 7 1/3 yards, and the width is 6 2/3 yards. What is the width of the raised platform?

Answer 1

To determine the width of the raised platform, the width of the room is divided by 6. The result is that the width of the raised platform is 1 1/9 yards.

Step-by-step explanation:

To find the width of the raised platform in the rectangular meeting room, we need to first interpret the width of the room given in the question and then calculate one-sixth of that measurement. Given that the width of the room is 6 2/3 yards, to find the width of the raised platform, we divide that width by 6.

Here is the step-by-step calculation:

1. Convert the mixed number 6 2/3 to an improper fraction: (6 × 3) + 2 = 20, so the width is 20/3 yards.
2. Divide the width of the room by 6 to find the width of the raised platform: (20/3) ÷ 6 = (20/3) ÷ (6/1) = (20 × 1) / (3 × 6) = 20/18 = 10/9 yards.
3. Simplify the fraction: 10/9 yards is equivalent to 1 1/9 yards.

Therefore, the width of the raised platform is 1 1/9 yards.