Question

which product is represented by the model below?
options:
\\(\frac{3}{8} \times \frac{3}{8} = \frac{9}{8}\\)
\\(\frac{3}{8} \times 2 = \frac{6}{16}\\)
\\(\frac{3}{8} \times \frac{3}{8} = \frac{6}{64}\\)
\\(\frac{3}{8} \times 2 = \frac{6}{8}\\)

Explanation:

Step1: Analyze the fraction of shaded part in each model

In the first model, the total number of parts is \(8\), and the number of shaded parts is \(3\). So the fraction is \(\frac{3}{8}\).
In the second model, we can consider it as \(2\) groups of the same - sized parts (similar to the first model).

Step2: Calculate the product

We are multiplying \(\frac{3}{8}\) by \(2\). Using the rule of fraction - multiplication \(a\times\frac{b}{c}=\frac{ab}{c}\), where \(a = 2\), \(b=3\), \(c = 8\). So \(\frac{3}{8}\times2=\frac{3\times2}{8}=\frac{6}{8}\).

Answer:

\(\frac{3}{8}\times2=\frac{6}{8}\)