Write these percentages as mixed numbers in their simplest form. a. \( 120 \% \) b. \( 350 \% \) c. \( 165 \% \) d. \( 510 \% \) e. \( 114 \% \) f. \( 346 \% \) g. \( 601 \% \) h. \( 240 \% \) l. \( 105 \% \) f. \( 110 \% \)

To convert percentages to mixed numbers, we follow these steps: 1. Convert the percentage to a fraction by dividing by 100. 2. Simplify the fraction if possible. 3. Convert the improper fraction to a mixed number. Let's go through each percentage step by step. ### a. \( 120 \% \) 1. Convert to fraction: \( \frac{120}{100} \) 2. Simplify: \( \frac{120 \div 20}{100 \div 20} = \frac{6}{5} \) 3. Convert to mixed number: \( 1 \frac{1}{5} \) ### b. \( 350 \% \) 1. Convert to fraction: \( \frac{350}{100} \) 2. Simplify: \( \frac{350 \div 50}{100 \div 50} = \frac{7}{2} \) 3. Convert to mixed number: \( 3 \frac{1}{2} \) ### c. \( 165 \% \) 1. Convert to fraction: \( \frac{165}{100} \) 2. Simplify: \( \frac{165 \div 5}{100 \div 5} = \frac{33}{20} \) 3. Convert to mixed number: \( 1 \frac{13}{20} \) ### d. \( 510 \% \) 1. Convert to fraction: \( \frac{510}{100} \) 2. Simplify: \( \frac{510 \div 10}{100 \div 10} = \frac{51}{10} \) 3. Convert to mixed number: \( 5 \frac{1}{10} \) ### e. \( 114 \% \) 1. Convert to fraction: \( \frac{114}{100} \) 2. Simplify: \( \frac{114 \div 2}{100 \div 2} = \frac{57}{50} \) 3. Convert to mixed number: \( 1 \frac{7}{50} \) ### f. \( 346 \% \) 1. Convert to fraction: \( \frac{346}{100} \) 2. Simplify: \( \frac{346 \div 2}{100 \div 2} = \frac{173}{50} \) 3. Convert to mixed number: \( 3 \frac{23}{50} \) ### g. \( 601 \% \) 1. Convert to fraction: \( \frac{601}{100} \) 2. This fraction is already in simplest form. 3. Convert to mixed number: \( 6 \frac{1}{100} \) ### h. \( 240 \% \) 1. Convert to fraction: \( \frac{240}{100} \) 2. Simplify: \( \frac{240 \div 20}{100 \div 20} = \frac{12}{5} \) 3. Convert to mixed number: \( 2 \frac{2}{5} \) ### i. \( 105 \% \) 1. Convert to fraction: \( \frac{105}{100} \) 2. Simplify: \( \frac{105 \div 5}{100 \div 5} = \frac{21}{20} \) 3. Convert to mixed number: \( 1 \frac{1}{20} \) ### j. \( 110 \% \) 1. Convert to fraction: \( \frac{110}{100} \) 2. Simplify: \( \frac{110 \div 10}{100 \div 10} = \frac{11}{10} \) 3. Convert to mixed number: \( 1 \frac{1}{10} \) ### Summary of Results: - a. \( 120 \% = 1 \frac{1}{5} \) - b. \( 350 \% = 3 \frac{1}{2} \) - c. \( 165 \% = 1 \frac{13}{20} \) - d. \( 510 \% = 5 \frac{1}{10} \) - e. \( 114 \% = 1 \frac{7}{50} \) - f. \( 346 \% = 3 \frac{23}{50} \) - g. \( 601 \% = 6 \frac{1}{100} \) - h. \( 240 \% = 2 \frac{2}{5} \) - i. \( 105 \% = 1 \frac{1}{20} \) - j. \( 110 \% = 1 \frac{1}{10} \)