To determine if the provided statement shows values that are all equivalent to the fraction of employees who attended the meeting, we start with the fraction itself:
\[ \frac{153}{225} \]
Now, let’s simplify this fraction:
- Finding the GCD: The greatest common divisor (GCD) of 153 and 225 is 9.
- Simplifying the fraction:
\[ \frac{153 \div 9}{225 \div 9} = \frac{17}{25} \]
So, \(\frac{153}{225} = \frac{17}{25}\) is correct.
Next, we convert \(\frac{17}{25}\) into decimal form:
\[ \frac{17}{25} = 17 \div 25 = 0.68 \]
We can also convert it to a percentage:
\[ 0.68 \times 100 = 68% \]
Putting it all together, we find:
- \( \frac{153}{225} = \frac{17}{25} = 0.68 = 68% \)
Thus, the statement A is indeed correct as it shows that all values presented (\(\frac{153}{225}\), \(\frac{17}{25}\), \(0.68\), and \(68%\)) are equivalent.
Why it’s correct: All these values represent the same quantity, indicating that 68% of the employees attended the meeting. The fraction \(\frac{153}{225}\) simplifies correctly, and both the decimal and percentage forms accurately represent the fraction.