Question

use the area model to multiply \\(\frac{2}{9}\left(\frac{5}{4}9 + 18\
ight)\\). first, find the partial products. write numbers as integers, decimals, or simplified proper or improper fractions. now, write the product. \\(\frac{2}{9}\left(\frac{5}{4}9 + 18\
ight) =\\)

Explanation:

Step1: Calculate first partial product

Multiply $\frac{2}{9}$ and $\frac{5}{4}g$:
$$\frac{2}{9} \times \frac{5}{4}g = \frac{2 \times 5}{9 \times 4}g = \frac{10}{36}g = \frac{5}{18}g$$

Step2: Calculate second partial product

Multiply $\frac{2}{9}$ and $18$:
$$\frac{2}{9} \times 18 = \frac{2 \times 18}{9} = 4$$

Step3: Combine partial products

Add the two results together:
$$\frac{5}{18}g + 4$$

Answer:

$\frac{5}{18}g + 4$
(Partial products: $\frac{5}{18}g$ and $4$)