Subjects algebra

Fraction Conversion E9Bbe6

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1. **Stating the problem:** We are given a list of fractions and mixed numbers and asked to solve or simplify them. Since no specific operation is mentioned, we will convert all mixed numbers to improper fractions for consistency and simplification. 2. **Formula for converting mixed numbers to improper fractions:** $$\text{Improper fraction} = \frac{\text{whole part} \times \text{denominator} + \text{numerator}}{\text{denominator}}$$ 3. **Example conversion:** Convert $4\ 1/3$ to an improper fraction: $$4\ 1/3 = \frac{4 \times 3 + 1}{3} = \frac{12 + 1}{3} = \frac{13}{3}$$ 4. **Step-by-step conversions for the first few mixed numbers:** - $5/6$ is already a fraction. - $3\ 4/11 = \frac{3 \times 11 + 4}{11} = \frac{33 + 4}{11} = \frac{37}{11}$ - $7\ 3/10 = \frac{7 \times 10 + 3}{10} = \frac{70 + 3}{10} = \frac{73}{10}$ 5. **Simplify fractions if possible:** For example, $\frac{48}{10}$ can be simplified by dividing numerator and denominator by 2: $$\frac{\cancel{48}}{\cancel{10}} = \frac{24}{5}$$ 6. **Summary:** All mixed numbers are converted to improper fractions using the formula above. Fractions are simplified by dividing numerator and denominator by their greatest common divisor. 7. **Final answer:** The mixed numbers converted to improper fractions and simplified fractions are: $$4\ 1/3 = \frac{13}{3},\quad 5/6,\quad 3\ 4/11 = \frac{37}{11},\quad 7\ 3/10 = \frac{73}{10},\quad 7\ 1/8 = \frac{57}{8},\quad 9,\quad 1,\quad 3/4,\quad 3\ 2/4 = \frac{14}{4} = \frac{7}{2},\quad 1\ 1/8 = \frac{9}{8},\quad 4\ 4/5 = \frac{24}{5},\quad 7\ 9/10 = \frac{79}{10},\quad 1\ 5/6 = \frac{11}{6},\quad 3\ 7/11 = \frac{40}{11},\quad 5\ 1/8 = \frac{41}{8},\quad 1\ 1/2 = \frac{3}{2},\quad 4\ 1/5 = \frac{21}{5},\quad 3\ 3/5 = \frac{18}{5},\quad 1\ 2/3 = \frac{5}{3},\quad 2\ 2/3 = \frac{8}{3}$$ This process can be applied to all given numbers similarly.