6 Shane designed a rectangular mural that is \( 2 \frac{3}{4} \) yards long and \( 1 \frac{1}{3} \) yards high. What is the area in square yards of the mural?

To find the area of Shane's rectangular mural, we'll multiply the length by the height. **Given:** - **Length:** \( 2 \frac{3}{4} \) yards - **Height:** \( 1 \frac{1}{3} \) yards **Step 1: Convert Mixed Numbers to Improper Fractions** 1. **Convert \( 2 \frac{3}{4} \) to an improper fraction:** \[ 2 \frac{3}{4} = \frac{(2 \times 4) + 3}{4} = \frac{8 + 3}{4} = \frac{11}{4} \] 2. **Convert \( 1 \frac{1}{3} \) to an improper fraction:** \[ 1 \frac{1}{3} = \frac{(1 \times 3) + 1}{3} = \frac{3 + 1}{3} = \frac{4}{3} \] **Step 2: Multiply the Improper Fractions to Find the Area** \[ \text{Area} = \frac{11}{4} \times \frac{4}{3} = \frac{11 \times 4}{4 \times 3} = \frac{44}{12} \] **Step 3: Simplify the Fraction** \[ \frac{44}{12} = \frac{11}{3} \] **Step 4: (Optional) Convert Back to a Mixed Number** \[ \frac{11}{3} = 3 \frac{2}{3} \] **Final Answer:** The area of the mural is \( \frac{11}{3} \) square yards or \( 3 \frac{2}{3} \) square yards.