At a workplace 153 of the 225 employees attended a meeting which statement shows values that are all equivalent to the fraction of employees wo attended the meeting?

Question

The table shows the amounts the water levels increased In feet for five Texas lakes during one week.
Responses

153/225=17/25=0.68=68%

225/153=25/17=1.47=147%

153/225=51/75=0.51=51%

225/153=75/51=0.75=75%

Answer 1

To find the values that are all equivalent to the fraction of employees who attended the meeting (153 out of 225), we start with the fraction \( \frac{153}{225} \).

To simplify \( \frac{153}{225} \):

• The greatest common divisor (GCD) of 153 and 225 is 51. Thus: \[ \frac{153 \div 51}{225 \div 51} = \frac{3}{5} \]

Calculating the decimal and percentage equivalent:

• Decimal: \[ \frac{153}{225} \approx 0.68 \]
• Percentage: \[ 0.68 \times 100 = 68% \]

Now we'll evaluate the statements provided:

1. \( \frac{153}{225} = \frac{17}{25} = 0.68 = 68% \): This statement is true as all values represent the same fraction.
2. \( \frac{225}{153} = \frac{25}{17} \approx 1.47 = 147% \): This statement is false since it represents the inverse of the original fraction.
3. \( \frac{153}{225} = \frac{51}{75} \approx 0.51 = 51% \): This statement is false; \( \frac{51}{75} \) is not equivalent to \( \frac{153}{225} \).
4. \( \frac{225}{153} = \frac{75}{51} \approx 0.75 = 75% \): This statement is false; again, it represents the inverse of the original fraction.

Thus, the only correct statement that shows values that are all equivalent to the fraction of employees who attended the meeting is:

\( \frac{153}{225} = \frac{17}{25} = 0.68 = 68% \).