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 $\frac{22}{8}$.