Calculate Rectangle Area: 4⅓ Meters × 2¾ Meters

What is the area of the rectangle whose length $4\frac{1}{3}$ meters and the width $2\frac{3}{4}$?

To solve this problem, we'll calculate the area of a rectangle given in mixed numbers using these steps:

• Step 1: Convert mixed numbers to improper fractions.
• Step 2: Multiply the improper fractions to find the area.
• Step 3: Simplify the resulting fraction and convert it back to a mixed number if possible.

Let's proceed with each step:

Step 1: Convert mixed numbers to improper fractions.
Given length $4\frac{1}{3}$ meters and width $2\frac{3}{4}$ meters, we convert each:

$4\frac{1}{3} = \frac{13}{3}, \quad 2\frac{3}{4} = \frac{11}{4}$

Step 2: Multiply the improper fractions to calculate the area.
$\text{Area} = \frac{13}{3} \times \frac{11}{4} = \frac{13 \times 11}{3 \times 4} = \frac{143}{12}$

Step 3: Simplify $\frac{143}{12}$ and convert to a mixed number.
Divide 143 by 12:

$143 \div 12 = 11 \quad \text{remainder} \, 11$

So, $\frac{143}{12} = 11\frac{11}{12}$

Therefore, the area of the rectangle is $13\frac{11}{12}$ square meters.