2 2/5 ÷ 1 1/25 2/4÷2 2/46 5/6 ÷ 1 1/54 4/6 ÷ 2 1/63 3/4 ÷ 1 2/5please answer with solution​

Sure! Let's solve each of these division problems step-by-step.### 1. \( 2 \frac{2}{5} \div 1 \frac{1}{2} \)**Step 1**: Convert to improper fractions.\( 2 \frac{2}{5} = \frac{12}{5} \) \( 1 \frac{1}{2} = \frac{3}{2} \)**Step 2**: Change division to multiplication by the reciprocal.\( \frac{12}{5} \div \frac{3}{2} = \frac{12}{5} \times \frac{2}{3} \)**Step 3**: Multiply the fractions.\( \frac{12 \times 2}{5 \times 3} = \frac{24}{15} \)**Step 4**: Simplify.\( \frac{24 \div 3}{15 \div 3} = \frac{8}{5} = 1 \frac{3}{5} \)### 2. \( 5 \frac{2}{4} \div 2 \frac{2}{4} \)**Step 1**: Convert to improper fractions.\( 5 \frac{2}{4} = \frac{22}{4} = \frac{11}{2} \) \( 2 \frac{2}{4} = \frac{10}{4} = \frac{5}{2} \)**Step 2**: Change division to multiplication by the reciprocal.\( \frac{11}{2} \div \frac{5}{2} = \frac{11}{2} \times \frac{2}{5} \)**Step 3**: Multiply the fractions.\( \frac{11 \times 2}{2 \times 5} = \frac{22}{10} \)**Step 4**: Simplify.\( \frac{22 \div 2}{10 \div 2} = \frac{11}{5} = 2 \frac{1}{5} \)### 3. \( 6 \frac{5}{6} \div 1 \frac{1}{5} \)**Step 1**: Convert to improper fractions.\( 6 \frac{5}{6} = \frac{41}{6} \) \( 1 \frac{1}{5} = \frac{6}{5} \)**Step 2**: Change division to multiplication by the reciprocal.\( \frac{41}{6} \div \frac{6}{5} = \frac{41}{6} \times \frac{5}{6} \)**Step 3**: Multiply the fractions.\( \frac{41 \times 5}{6 \times 6} = \frac{205}{36} \)**Step 4**: Convert to a mixed number.\( 205 \div 36 = 5 \) remainder \( 25 \), so \( 5 \frac{25}{36} \)### 4. \( 4 \frac{4}{6} \div 2 \frac{1}{6} \)**Step 1**: Convert to improper fractions.\( 4 \frac{4}{6} = \frac{28}{6} = \frac{14}{3} \) \( 2 \frac{1}{6} = \frac{13}{6} \)**Step 2**: Change division to multiplication by the reciprocal.\( \frac{14}{3} \div \frac{13}{6} = \frac{14}{3} \times \frac{6}{13} \)**Step 3**: Multiply the fractions.\( \frac{14 \times 6}{3 \times 13} = \frac{84}{39} \)**Step 4**: Simplify. \( \frac{84 \div 3}{39 \div 3} = \frac{28}{13} = 2 \frac{2}{13} \)### 5. \( 3 \frac{3}{4} \div 1 \frac{2}{5} \)**Step 1**: Convert to improper fractions.\( 3 \frac{3}{4} = \frac{15}{4} \) \( 1 \frac{2}{5} = \frac{7}{5} \)**Step 2**: Change division to multiplication by the reciprocal.\( \frac{15}{4} \div \frac{7}{5} = \frac{15}{4} \times \frac{5}{7} \)**Step 3**: Multiply the fractions.\( \frac{15 \times 5}{4 \times 7} = \frac{75}{28} \)**Step 4**: Convert to a mixed number.\( 75 \div 28 = 2 \) remainder \( 19 \), so \( 2 \frac{19}{28} \)### Summary of Results:1. \( 2 \frac{2}{5} \div 1 \frac{1}{2} = 1 \frac{3}{5} \)2. \( 5 \frac{2}{4} \div 2 \frac{2}{4} = 2 \frac{1}{5} \)3. \( 6 \frac{5}{6} \div 1 \frac{1}{5} = 5 \frac{25}{36} \)4. \( 4 \frac{4}{6} \div 2 \frac{1}{6} = 2 \frac{2}{13} \)5. \( 3 \frac{3}{4} \div 1 \frac{2}{5} = 2 \frac{19}{28} \)

Answered by romnickpallon | 2024-09-04