Question

use the area model to multiply $7\left(\frac{9}{5} + 8j + \frac{1}{3}k\
ight)$. first, find the partial products. write numbers as integers, decimals, or simplified proper or improper fractions. now, write the product. $7\left(\frac{9}{5} + 8j + \frac{1}{3}k\
ight) = $

Explanation:

Step1: Calculate first partial product

$7 \times \frac{9}{5} = \frac{63}{5}$

Step2: Calculate second partial product

$7 \times 8j = 56j$

Step3: Calculate third partial product

$7 \times \frac{1}{3}k = \frac{7}{3}k$

Step4: Combine all partial products

$\frac{63}{5} + 56j + \frac{7}{3}k$

Answer:

Partial products: $\frac{63}{5}$, $56j$, $\frac{7}{3}k$
Final product: $\frac{63}{5} + 56j + \frac{7}{3}k$