To find 30 percent of 600, you can use the equation:
\[ \frac{30 \times 600}{100} \]
This simplifies to:
\[ \frac{18000}{100} = 180 \]
From the options you provided, the correct representation for calculating \(30%\) of \(600\) isn't explicitly stated, but we can analyze the choices provided:
- \(\frac{600 \times 6}{100 \times 6} = \frac{3600}{600}\)
- \(\frac{30 \times 6}{100 \times 6} = \frac{180}{600}\)
- \(\frac{100 \times 20}{30 \times 20} = \frac{2000}{600}\)
- \(\frac{30 \times 1}{600 \times 1} = \frac{30}{600}\)
The second equation, \(\frac{30 \times 6}{100 \times 6} = \frac{180}{600}\), correctly represents the calculation of \(\frac{30}{100} \times 600 = 180\).
Thus, the second option is valid because:
\[ 30% \text{ of } 600 = \frac{30}{100} \times 600 = \frac{180}{600} \]
However, note that none of the options directly indicate \(30%\) without simplification, but the second option effectively communicates the calculation performed.