1. Which expression is equivalent to the following complex fraction

1. Which expression is equivalent to the following complex fraction? (1-(1)/(x))/(2)
2. In construction, keeping your work area clean and free of scraps or spills is referred to as
   a. managing
   b. organizing
   c. housekeeping
   d. stacking and storing

The correct answer and explanation is:

1. Which expression is equivalent to the following complex fraction?

Expression: 1−1×2\frac{1 – \frac{1}{x}}{2}

Solution:

To simplify this complex fraction, let’s first handle the numerator: 1−1×1 – \frac{1}{x}

We can rewrite 1 as xx\frac{x}{x}, so: 1−1x=xx−1x=x−1×1 – \frac{1}{x} = \frac{x}{x} – \frac{1}{x} = \frac{x – 1}{x}

Now the expression becomes: x−1×2\frac{\frac{x – 1}{x}}{2}

This is a fraction divided by 2, so we can multiply the numerator by the reciprocal of 2 (which is 12\frac{1}{2}): x−1x×12=x−12x\frac{x – 1}{x} \times \frac{1}{2} = \frac{x – 1}{2x}

Thus, the simplified expression is: x−12x\frac{x – 1}{2x}

2. In construction, keeping your work area clean and free of scraps or spills is referred to as:

Correct answer: c. housekeeping

Explanation:

Housekeeping in construction refers to the practice of keeping the work area clean, organized, and free from unnecessary materials, tools, and hazards. This is essential not only for safety but also for efficiency and overall productivity. A clean and organized workspace helps workers to find the tools they need quickly, reduces the risk of accidents or injuries, and contributes to a positive working environment.

The term “housekeeping” is often used in various industries, including construction, to describe activities such as cleaning up debris, properly storing tools, disposing of waste materials, and maintaining a tidy and orderly workspace. By preventing clutter and spills, workers reduce the chances of tripping hazards, contamination, and other workplace accidents.

Effective housekeeping practices in construction can include:

• Regularly sweeping or vacuuming the work area.
• Ensuring that tools and materials are stored correctly when not in use.
• Keeping walkways clear of obstructions.
• Managing hazardous materials safely and disposing of them in the appropriate manner.
• Keeping spills cleaned up immediately to prevent slipping hazards.

Proper housekeeping not only ensures safety but also promotes better productivity, as workers spend less time navigating a messy work environment. By adopting good housekeeping practices, construction companies can reduce the likelihood of accidents, improve worker morale, and increase overall job satisfaction.