Question

which model represents the product 5 × \frac{4}{6}?

Explanation:

Step1: Calculate \(5\times\frac{4}{6}\)

$$ 5\times\frac{4}{6}=\frac{5\times4}{6}=\frac{20}{6}=\frac{10}{3}=3\frac{1}{3} $$

Step2: Analyze the first set of models

The first set has 2 circles. One circle is fully shaded (6/6) and the other has 3 shaded parts out of 6. Total shaded parts \(=6 + 3=9\) parts. If each circle is divided into 6 parts, \(\frac{9}{6}=\frac{3}{2}=1.5
eq3\frac{1}{3}\)

Step3: Analyze the second set of models

The second set has 4 circles. Three circles are fully shaded (each is 6/6) and the fourth circle has 2 shaded parts out of 6. Total shaded parts \(=3\times6+ 2=20\) parts. If each circle is divided into 6 parts, \(\frac{20}{6}=\frac{10}{3}=3\frac{1}{3}\)

Answer:

The second set of models (the one with three fully - shaded circles and one circle with 2 shaded parts out of 6) represents \(5\times\frac{4}{6}\)