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Fraction Equivalence

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Fraction Equivalence


1. The problem asks to find which fraction is equivalent to the mixed number $2 \frac{3}{4}$. 2. Convert the mixed number to an improper fraction using the formula: $$\text{Improper fraction} = \left(\text{whole number} \times \text{denominator}\right) + \text{numerator} \over \text{denominator}$$ 3. For $2 \frac{3}{4}$: $$2 \times 4 + 3 = 8 + 3 = 11$$ So the improper fraction is: $$\frac{11}{4}$$ 4. Now, compare $\frac{11}{4}$ to the given fractions: - $\frac{7}{4} = 1.75$ - $\frac{19}{8} = 2.375$ - $\frac{12}{4} = 3$ - $\frac{22}{8} = 2.75$ - $\frac{5}{2} = 2.5$ 5. Since $\frac{11}{4} = 2.75$, the fraction equivalent to $2 \frac{3}{4}$ is $\frac{22}{8}$. 6. The problem also states a blue ring is drawn around $\frac{22}{8}$, confirming this. Final answer: The fraction equivalent to $2 \frac{3}{4}$ is $\frac{22}{8}$.