Question

draw an area model to show $\frac{1}{2} \times 4\frac{3}{4}$. find the product.
which model shows $\frac{1}{2} \times 4\frac{3}{4}$?
a.

b.

c.

Explanation:

Step1: Convert mixed number to improper fraction

$4\frac{3}{4} = \frac{4\times4 + 3}{4} = \frac{19}{4}$

Step2: Calculate the product

$\frac{1}{2} \times \frac{19}{4} = \frac{19}{8} = 2\frac{3}{8}$

Step3: Analyze area model logic

$\frac{1}{2} \times 4\frac{3}{4}$ represents taking half of the area that represents $4\frac{3}{4}$. A model for $4\frac{3}{4}$ would be 4 full units plus $\frac{3}{4}$ of a unit; taking half of this gives 2 full units plus $\frac{3}{8}$ of a unit, which matches option C.

Answer:

C. <The area model showing half of 4 and 3/4 units, equivalent to 2 and 3/8 units>