which equation can be used to find 30 percent of 600?\n$\frac{600\times6}{100\times6}=\frac{3600}{600}$\n$\fr…

which equation can be used to find 30 percent of 600?\n$\frac{600\times6}{100\times6}=\frac{3600}{600}$\n$\frac{30\times6}{100\times6}=\frac{180}{600}$\n$\frac{100\times20}{30\times20}=\frac{2000}{600}$\n$\frac{30\times1}{600\times1}=\frac{30}{600}$

which equation can be used to find 30 percent of 600?\n$\frac{600\times6}{100\times6}=\frac{3600}{600}$\n$\frac{30\times6}{100\times6}=\frac{180}{600}$\n$\frac{100\times20}{30\times20}=\frac{2000}{600}$\n$\frac{30\times1}{600\times1}=\frac{30}{600}$

Answer

Explanation:

Step1: Recall percentage formula

To find (x) percent of a number (y), we use the formula (\frac{x}{100}\times y). Here, (x = 30) and (y=600), so we need to calculate (\frac{30}{100}\times600). We can rewrite this as an equivalent - fraction form. We know that (\frac{30}{100}\times600=\frac{30\times600}{100}). If we want to keep the denominator as 600, we note that (\frac{30}{100}=\frac{30\times6}{100\times6}) (by multiplying both the numerator and denominator by 6).

Step2: Analyze each option

  • Option 1: (\frac{600\times6}{100\times6}=\frac{3600}{600}), this is not related to finding 30% of 600.
  • Option 2: (\frac{30\times6}{100\times6}=\frac{180}{600}), since (\frac{30}{100}\times600=\frac{30\times600}{100}), and (\frac{30}{100}=\frac{30\times6}{100\times6}), when we calculate 30% of 600 ((\frac{30}{100}\times600 = 180)), this option is in the correct fraction - equivalent form for the percentage calculation.
  • Option 3: (\frac{100\times20}{30\times20}=\frac{2000}{600}), this is not relevant to finding 30% of 600.
  • Option 4: (\frac{30\times1}{600\times1}=\frac{30}{600}), this is not the correct form for finding 30% of 600.

Answer:

(\frac{30\times6}{100\times6}=\frac{180}{600}) (the second option)