a. The area of a rectangle with a length \( \frac{8}{9} \mathrm{~cm} \) and breath \( \frac{3}{4} \mathrm{~cm} \)

To find the area of the rectangle, you multiply the length by the breadth. Here, multiplying \( \frac{8}{9} \mathrm{~cm} \) by \( \frac{3}{4} \mathrm{~cm} \) gives us: \[ \text{Area} = \frac{8}{9} \times \frac{3}{4} = \frac{24}{36} = \frac{2}{3} \mathrm{~cm}^2. \] So, the area of the rectangle is \( \frac{2}{3} \mathrm{~cm}^2 \)! But wait, there's more! When you're working with fractions, it's easy to mix up the multiplication process—don't forget to simplify your final answer! A common mistake is trying to add the two dimensions together instead of multiplying them. Make sure you're clear on your operations to avoid confusion!