Read the following sentence: A survey showed that \( 50 \% \) of people prefer eating Italian food, \( 33,3 \% \) prefer Indian food and \( 15 \% \) like Chinese food. The rest had no preference. Replace the percentages with: a) decimals b) fractions

Sure! Let's replace the percentages in the sentence with decimals and fractions. ### Original Sentence: *A survey showed that \( 50 \% \) of people prefer eating Italian food, \( 33.3 \% \) prefer Indian food and \( 15 \% \) like Chinese food. The rest had no preference.* --- ### a) **Replacing Percentages with Decimals:** To convert percentages to decimals, divide each percentage by 100. - \( 50\% = 0.50 \) - \( 33.3\% = 0.333 \) - \( 15\% = 0.15 \) **Rewritten Sentence:** *A survey showed that **0.50** of people prefer eating Italian food, **0.333** prefer Indian food, and **0.15** like Chinese food. The rest had no preference.* --- ### b) **Replacing Percentages with Fractions:** Convert each percentage to its simplest fractional form. - \( 50\% = \frac{50}{100} = \frac{1}{2} \) - \( 33.3\% \approx \frac{33.3}{100} = \frac{1}{3} \) *(since 33.3% is approximately one third)* - \( 15\% = \frac{15}{100} = \frac{3}{20} \) **Rewritten Sentence:** *A survey showed that **\(\frac{1}{2}\)** of people prefer eating Italian food, **\(\frac{1}{3}\)** prefer Indian food, and **\(\frac{3}{20}\)** like Chinese food. The rest had no preference.* --- Feel free to reach out if you need further assistance!