Question

convert the following proportion into a percent.
\\(\frac{24}{77}\\)
?\\%
round to the nearest whole percent.

Explanation:

Step1: Divide numerator by denominator

To convert a fraction to a decimal, we divide the numerator (24) by the denominator (77). So, we calculate \( 24 \div 77 \). Using a calculator, \( 24\div77\approx0.3117 \).

Step2: Convert decimal to percent

To convert a decimal to a percent, we multiply the decimal by 100. So, we take the decimal we found (0.3117) and multiply it by 100: \( 0.3117\times100 = 31.17\% \).

Step3: Round to nearest whole percent

We need to round 31.17% to the nearest whole percent. Looking at the decimal part (0.17), which is less than 0.5, we round down. So, 31.17% rounded to the nearest whole percent is 31%.

Answer:

31%