Subjects algebra

Subtract Fractions C1A5D7

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Question: Subtract each pair of fractions. Fill in the letter next to the answer that corresponds below to answer the following riddle. Why did Mickey Mouse become an astronaut? $\frac{3}{8} - \frac{1}{4} =$ $\frac{5}{12} - \frac{2}{6} =$ $\frac{8}{9} - \frac{2}{3} =$ $\frac{5}{10} - \frac{1}{5} =$ $\frac{2}{3} - \frac{1}{9} =$ $\frac{2}{5} - \frac{3}{10} =$ $\frac{11}{12} - \frac{2}{4} =$ $\frac{9}{10} - \frac{1}{5} =$ $\frac{11}{12} - \frac{1}{3} =$ $\frac{5}{6} - \frac{2}{3} =$ $\frac{7}{8} - \frac{1}{4} =$ $\frac{8}{15} - \frac{2}{5} =$
1. **State the problem:** We need to subtract each pair of fractions and find the simplified result. 2. **Formula and rules:** To subtract fractions, find a common denominator, convert each fraction, subtract numerators, and simplify. 3. **Calculations:** - $\frac{3}{8} - \frac{1}{4}$ - Common denominator: 8 - Convert $\frac{1}{4} = \frac{2}{8}$ - Subtract: $\frac{3}{8} - \frac{2}{8} = \frac{1}{8}$ - $\frac{5}{12} - \frac{2}{6}$ - Common denominator: 12 - Convert $\frac{2}{6} = \frac{4}{12}$ - Subtract: $\frac{5}{12} - \frac{4}{12} = \frac{1}{12}$ - $\frac{8}{9} - \frac{2}{3}$ - Common denominator: 9 - Convert $\frac{2}{3} = \frac{6}{9}$ - Subtract: $\frac{8}{9} - \frac{6}{9} = \frac{2}{9}$ - $\frac{5}{10} - \frac{1}{5}$ - Common denominator: 10 - Convert $\frac{1}{5} = \frac{2}{10}$ - Subtract: $\frac{5}{10} - \frac{2}{10} = \frac{3}{10}$ - $\frac{2}{3} - \frac{1}{9}$ - Common denominator: 9 - Convert $\frac{2}{3} = \frac{6}{9}$ - Subtract: $\frac{6}{9} - \frac{1}{9} = \frac{5}{9}$ - $\frac{2}{5} - \frac{3}{10}$ - Common denominator: 10 - Convert $\frac{2}{5} = \frac{4}{10}$ - Subtract: $\frac{4}{10} - \frac{3}{10} = \frac{1}{10}$ - $\frac{11}{12} - \frac{2}{4}$ - Common denominator: 12 - Convert $\frac{2}{4} = \frac{6}{12}$ - Subtract: $\frac{11}{12} - \frac{6}{12} = \frac{5}{12}$ - $\frac{9}{10} - \frac{1}{5}$ - Common denominator: 10 - Convert $\frac{1}{5} = \frac{2}{10}$ - Subtract: $\frac{9}{10} - \frac{2}{10} = \frac{7}{10}$ - $\frac{11}{12} - \frac{1}{3}$ - Common denominator: 12 - Convert $\frac{1}{3} = \frac{4}{12}$ - Subtract: $\frac{11}{12} - \frac{4}{12} = \frac{7}{12}$ - $\frac{5}{6} - \frac{2}{3}$ - Common denominator: 6 - Convert $\frac{2}{3} = \frac{4}{6}$ - Subtract: $\frac{5}{6} - \frac{4}{6} = \frac{1}{6}$ - $\frac{7}{8} - \frac{1}{4}$ - Common denominator: 8 - Convert $\frac{1}{4} = \frac{2}{8}$ - Subtract: $\frac{7}{8} - \frac{2}{8} = \frac{5}{8}$ - $\frac{8}{15} - \frac{2}{5}$ - Common denominator: 15 - Convert $\frac{2}{5} = \frac{6}{15}$ - Subtract: $\frac{8}{15} - \frac{6}{15} = \frac{2}{15}$ 4. **Final answers:** $\frac{1}{8}, \frac{1}{12}, \frac{2}{9}, \frac{3}{10}, \frac{5}{9}, \frac{1}{10}, \frac{5}{12}, \frac{7}{10}, \frac{7}{12}, \frac{1}{6}, \frac{5}{8}, \frac{2}{15}$ 5. **Riddle answer:** The letters corresponding to these answers spell the answer to "Why did Mickey Mouse become an astronaut?" (This part depends on the letter mapping provided in the original problem, which is not included here.)