Question

1 each rectangle in the model below represents one whole. the model is shaded to represent \\(\frac{5}{3}\\).\
image of rectangles with shaded parts\
which equation can be used to represent this model?\
\\(\bigcirc\\ 5 + \frac{1}{3} = 5\frac{1}{3}\\)\
\\(\bigcirc\\ \frac{5}{1} \times \frac{1}{3} = \frac{5}{3}\\)\
\\(\bigcirc\\ 5 + \frac{1}{3} = \frac{5}{3}\\)\
\\(\bigcirc\\ \frac{5}{5} \times \frac{1}{3} = \frac{5}{15}\\)\
\

1. model 1 has been shaded to represent one whole.\

model 1\
image of a shaded rectangle\
model 2 is shown below.\
model 2\
image of three rectangles with shaded parts

Explanation:

Question 1

Step1: Analyze the model

Each rectangle is 1 whole, divided into 3 parts. Shaded part per rectangle is $\frac{1}{3}$, and there are 5 rectangles. So total shaded is $5\times\frac{1}{3}=\frac{5}{3}$.

Step2: Evaluate options

• Option 1: $5+\frac{1}{3}=5\frac{1}{3}$ (incorrect, not addition).
• Option 2: $\frac{5}{1}\times\frac{1}{3}=\frac{5}{3}$ (matches $5\times\frac{1}{3}$).
• Option 3: $5+\frac{1}{3}=\frac{5}{3}$ (arithmetic error).
• Option 4: $\frac{5}{5}\times\frac{1}{3}=\frac{1}{3}$ (incorrect, not $\frac{5}{15}$).

Step1: Analyze Model 1 and 2

Model 1: 4 parts = 1 whole, so 1 part = $\frac{1}{4}$. Model 2: 3 rectangles, each with 1 part shaded. So total shaded: $3\times\frac{1}{4}=\frac{3}{4}$.

Step2: Form equation

If Model 1 is 1 whole (4 parts), Model 2 has 3 times $\frac{1}{4}$, so equation: $3\times\frac{1}{4}=\frac{3}{4}$.

Answer:

$\frac{5}{1} \times \frac{1}{3} = \frac{5}{3}$ (the second option: $\boldsymbol{\frac{5}{1} \times \frac{1}{3} = \frac{5}{3}}$)

Question 2 (Assuming the question is to find the equation for Model 2, e.g., if Model 1 is 4 parts (whole), Model 2 has 3 rectangles, each with 1 part shaded (out of 4). So total shaded is $3\times\frac{1}{4}=\frac{3}{4}$ or related. But since the question is cut off, let's assume the common case: