which multiplication expression represents the model? $\frac{9}{14} \times \frac{2}{14}$, $\frac{1}{9}…

which multiplication expression represents the model? $\frac{9}{14} \times \frac{2}{14}$, $\frac{1}{9} \times \frac{1}{2}$, $\frac{3}{5} \times \frac{2}{5}$, $\frac{1}{5} \times \frac{3}{5}$

which multiplication expression represents the model? $\frac{9}{14} \times \frac{2}{14}$, $\frac{1}{9} \times \frac{1}{2}$, $\frac{3}{5} \times \frac{2}{5}$, $\frac{1}{5} \times \frac{3}{5}$

Answer

Explanation:

Step1: Analyze the model's rows and columns

The model is divided into 5 - row and 5 - column grid. One part is shaded horizontally in 1 out of 5 rows and another part is shaded vertically in 3 out of 5 columns.

Step2: Determine the fractions

The horizontal shading represents the fraction $\frac{1}{5}$ of the whole grid and the vertical shading represents the fraction $\frac{3}{5}$ of the whole grid. The overlapping shaded region represents the product of these two fractions.

Answer:

D. $\frac{1}{5}\times\frac{3}{5}$