To determine which statement shows values that are all equivalent to the fraction of employees who attended the meeting (153 out of 225), we need to simplify the fraction and check the values in each option.
- Simplifying the Fraction \( \frac{153}{225} \):
- The GCD (Greatest Common Divisor) of 153 and 225 is 51.
- Thus, \( \frac{153 \div 51}{225 \div 51} = \frac{3}{5} \).
- This fraction can also be expressed as a decimal: \( \frac{3}{5} = 0.6 \).
- And as a percentage: \( 0.6 \times 100 = 60% \).
Now let's evaluate each statement:
A:
- \( \frac{153}{225} = \frac{17}{25} = 0.68 = 68% \) (Not correct, because \( \frac{153}{225} \) simplifies to \( 0.6 \) and \( 60% \))
B:
- \( \frac{225}{153} = \frac{25}{17} = 1.47 = 147% \) (This is not equivalent to \( \frac{153}{225} \))
C:
- \( \frac{153}{225} = \frac{51}{75} = 0.51 = 51% \) (Not correct, because it does not equal \( \frac{153}{225} \))
D:
- \( \frac{225}{153} = \frac{75}{51} = 0.75 = 75% \) (This is not equivalent to \( \frac{153}{225} \))
Based on the simplifications, none of the statements provided are equivalent to the fraction \( \frac{153}{225} = 0.6 = 60% \). Therefore, none of the options A, B, C, or D are correct.
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