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convert the following proportion into a percent. \\(\\frac{20}{31}\\) \…

Question

convert the following proportion into a percent.
\\(\frac{20}{31}\\)
\\(?\\%\\)
round to the nearest whole percent.

Explanation:

Step1: Divide numerator by denominator

To convert a fraction to a decimal, we divide the numerator by the denominator. So, we calculate \( \frac{20}{31} \approx 0.64516 \).

Step2: Multiply by 100 to get percent

To convert the decimal to a percent, we multiply by 100. So, \( 0.64516\times100 = 64.516\% \).

Step3: Round to nearest whole percent

Rounding \( 64.516\% \) to the nearest whole number, we look at the decimal part. Since \( 0.516\geq0.5 \), we round up. So, \( 64.516\% \approx 65\% \).

Answer:

65%