Calculate Area: 5½ Meters × ⅔ Meter Rectangle Problem

To solve this problem, we need to find the area of a pool with a given length and width.

• Step 1: Convert the mixed number to an improper fraction.
• Step 2: Multiply the two fractions to find the area.
• Step 3: Simplify the result if necessary.

First, let's convert the length from a mixed number to an improper fraction. The length is $5\frac{1}{2}$ meters, which can be written as an improper fraction:

$5\frac{1}{2} = \frac{11}{2}$

The width is already given as a fraction: $\frac{2}{3}$ meters.

Step 2: To find the area of the pool, we multiply the length by the width:

$\text{Area} = \left(\frac{11}{2}\right) \times \left(\frac{2}{3}\right)$

Now, multiply the numerators together and the denominators together:

$\text{Area} = \frac{11 \times 2}{2 \times 3} = \frac{22}{6}$

Step 3: Let's simplify $\frac{22}{6}$. The greatest common divisor of 22 and 6 is 2, so dividing the numerator and the denominator by 2 gives:

$\frac{22 \div 2}{6 \div 2} = \frac{11}{3}$

This can be further expressed as a mixed number:

$\frac{11}{3} = 3\frac{2}{3}$

Therefore, the area of the pool is $3\frac{2}{3}$ square meters.