3. \( 5 \frac{1}{3} \times 2 \frac{3}{4}=\frac{\square}{3} \times \frac{11}{\square}=\square \)

To solve \( 5 \frac{1}{3} \times 2 \frac{3}{4} \), we first convert the mixed numbers into improper fractions. For \( 5 \frac{1}{3} \): \[ 5 \frac{1}{3} = 5 \times 3 + 1 = 15 + 1 = \frac{16}{3} \] For \( 2 \frac{3}{4} \): \[ 2 \frac{3}{4} = 2 \times 4 + 3 = 8 + 3 = \frac{11}{4} \] Now, we multiply the two improper fractions: \[ \frac{16}{3} \times \frac{11}{4} = \frac{16 \times 11}{3 \times 4} = \frac{176}{12} \] Next, we can simplify \( \frac{176}{12} \) by dividing the numerator and the denominator by their greatest common divisor (GCD), which is 4: \[ \frac{176 \div 4}{12 \div 4} = \frac{44}{3} \] Therefore, we can fill in the blanks: \[ 5 \frac{1}{3} \times 2 \frac{3}{4} = \frac{44}{3}, \text{ so } \frac{44}{3} \times \frac{11}{4} = \frac{44}{3} \] This gives us the completed equation: \[ 3. 5 \frac{1}{3} \times 2 \frac{3}{4} = \frac{44}{3} \times \frac{11}{4} = \frac{44}{3} \] Filling the boxes: \[ \text{=} \frac{\text{44}}{3} \times \frac{11}{\text{4}} = 11 \] Overall, the equation filled out is \( 5 \frac{1}{3} \times 2 \frac{3}{4} = \frac{44}{3} \times \frac{11}{4} = 11 \).