Question

At a workplace 153 of the 225 employees attended a meeting which statement shows value that are all equivalent to the fraction of employees who attended the meeting A 153/225 = 17/25 = 0.68 = 68% and why

Answer 1

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:

1. **Finding the GCD**: The greatest common divisor (GCD) of 153 and 225 is 9.
2. **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.