Question

4/5, 1/2, how many of these? 4 1/2, will fit in here? 6 2/3

Explanation:

Step1: Find Area of Small Rectangle

The small rectangle has dimensions $\frac{1}{2}$ and $\frac{4}{5}$. Area formula: $A = l \times w$. So, $A_{small} = \frac{1}{2} \times \frac{4}{5} = \frac{4}{10} = \frac{2}{5}$.

Step2: Find Area of Large Rectangle

The large rectangle has dimensions $4\frac{1}{2}$ (which is $\frac{9}{2}$) and $6\frac{2}{3}$ (which is $\frac{20}{3}$). Area: $A_{large} = \frac{9}{2} \times \frac{20}{3} = \frac{180}{6} = 30$.

Step3: Divide Areas to Find Number

To find how many small rectangles fit, divide large area by small area: $\frac{30}{\frac{2}{5}} = 30 \times \frac{5}{2} = 75$.

Answer:

75