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. $$ 110 \% $$

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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. $$ 110 \% = 1 \frac{1}{10} $$
Here are the percentages converted to mixed numbers in their simplest form: - 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. $$ 110\% = 1 \frac{1}{10} $$

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. \( 110 \% \)

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