Subjects arithmetic

Mixed Number Subtraction

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Mixed Number Subtraction


1. Stating the problems: Calculate the following subtractions of mixed numbers: - TELUR: $4 \frac{2}{10} - 2 \frac{1}{5}$ - JAMUR ENOKI: $5 \frac{2}{5} - 3 \frac{1}{3}$ - SAYUR: $4 \frac{5}{6} - 2 \frac{1}{6}$ --- 2. TELUR: $4 \frac{2}{10} - 2 \frac{1}{5}$ - Convert mixed numbers to improper fractions: $$4 \frac{2}{10} = 4 + \frac{2}{10} = \frac{40}{10} + \frac{2}{10} = \frac{42}{10}$$ $$2 \frac{1}{5} = 2 + \frac{1}{5} = \frac{10}{5} + \frac{1}{5} = \frac{11}{5}$$ - Find common denominator for $\frac{42}{10}$ and $\frac{11}{5}$: The denominators are 10 and 5, common denominator is 10. - Convert $\frac{11}{5}$ to denominator 10: $$\frac{11}{5} = \frac{11 \times 2}{5 \times 2} = \frac{22}{10}$$ - Subtract: $$\frac{42}{10} - \frac{22}{10} = \frac{42 - 22}{10} = \frac{20}{10} = 2$$ --- 3. JAMUR ENOKI: $5 \frac{2}{5} - 3 \frac{1}{3}$ - Convert mixed numbers to improper fractions: $$5 \frac{2}{5} = 5 + \frac{2}{5} = \frac{25}{5} + \frac{2}{5} = \frac{27}{5}$$ $$3 \frac{1}{3} = 3 + \frac{1}{3} = \frac{9}{3} + \frac{1}{3} = \frac{10}{3}$$ - Find common denominator for 5 and 3: The least common denominator is 15. - Convert fractions: $$\frac{27}{5} = \frac{27 \times 3}{5 \times 3} = \frac{81}{15}$$ $$\frac{10}{3} = \frac{10 \times 5}{3 \times 5} = \frac{50}{15}$$ - Subtract: $$\frac{81}{15} - \frac{50}{15} = \frac{31}{15} = 2 \frac{1}{15}$$ --- 4. SAYUR: $4 \frac{5}{6} - 2 \frac{1}{6}$ - Convert mixed numbers to improper fractions: $$4 \frac{5}{6} = 4 + \frac{5}{6} = \frac{24}{6} + \frac{5}{6} = \frac{29}{6}$$ $$2 \frac{1}{6} = 2 + \frac{1}{6} = \frac{12}{6} + \frac{1}{6} = \frac{13}{6}$$ - Denominators are the same (6), subtract directly: $$\frac{29}{6} - \frac{13}{6} = \frac{16}{6} = 2 \frac{4}{6} = 2 \frac{2}{3}$$ --- Final answers: - TELUR: $2$ - JAMUR ENOKI: $2 \frac{1}{15}$ - SAYUR: $2 \frac{2}{3}$