Subjects algebra

Mixed Number 5B42Ea

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1. The problem is to understand what a mixed number is and how to work with it. 2. A mixed number is a number consisting of an integer and a proper fraction combined, for example, $2 \frac{3}{4}$. 3. To convert a mixed number to an improper fraction, use the formula: $$\text{Improper fraction} = \frac{(\text{whole number} \times \text{denominator}) + \text{numerator}}{\text{denominator}}$$ 4. For example, convert $2 \frac{3}{4}$ to an improper fraction: $$\frac{(2 \times 4) + 3}{4} = \frac{8 + 3}{4} = \frac{11}{4}$$ 5. To convert an improper fraction back to a mixed number, divide the numerator by the denominator: $$11 \div 4 = 2 \text{ remainder } 3$$ 6. So, the mixed number is: $$2 \frac{3}{4}$$ This explains what a mixed number is and how to convert between mixed numbers and improper fractions.