Question

!!!!GIVING EXTRA BRAINLIST!!!!
Use the area model to multiply(½f-49).
First, find the partial products. Write numbers as integers, decimals, or simplified proper or
improper fractions.
38
f
BE
Now, write the product.
-4g
Video

Answer 1

Answer:

$\frac{3}{16}$ f - $\frac{3}{2}$ g

Step-by-step explanation:

$\frac{3}{8}$ ( $\frac{1}{2}$ f - 4g )

multiplying each of the terms inside the parenthesis by $\frac{3}{8}$

$\frac{3}{8}$ × $\frac{1}{2}$ f

= $\frac{3(1)}{8(2)}$ f

= $\frac{3}{16}$ f

and

$\frac{3}{8}$ × - 4g ( cancel 4 and 8 by 4 )

= $\frac{3}{2}$ × - g

= - $\frac{3}{2}$ g

combining the 2 products, gives

$\frac{3}{16}$ f - $\frac{3}{2}$ g

Answer 2

Answer:

$\textsf{Orange partial product}=\dfrac{3}{16}\;f$

$\textsf{Pink partial product}=-\dfrac{3}{2} \;g$

$\textsf{Product}=\dfrac{3}{16}\;f-\dfrac{3}{2} \;g$

Step-by-step explanation:

Given expression:

$\dfrac{3}{8}\left(\dfrac{1}{2}f-4g\right)$

Calculate the partial products then add these together to find the product of the given expression.

Orange partial product

$\implies \dfrac{3}{8} \times \dfrac{1}{2}f$

$\implies \dfrac{3 \times 1}{8\times 2}\;f$

$\implies \dfrac{3}{16}\;f$

Pink partial product

$\implies \dfrac{3}{8} \times (-4g)$

$\implies \dfrac{3 \times -4}{8} \;g$

$\implies \dfrac{-12}{8} \;g$

$\implies -\dfrac{\diagup\!\!\!\!4 \times 3}{\diagup\!\!\!\!4 \times 2} \;g$

$\implies -\dfrac{3}{2} \;g$

Product:

$\implies \dfrac{3}{8}\left(\dfrac{1}{2}f-4g\right)=\dfrac{3}{16}\;f-\dfrac{3}{2} \;g$