Question

how can i use a model to find $2 \times \frac{1}{5}$? what is $2 \times \frac{1}{5}$? find the product. $\frac{1}{5}$ $\frac{3}{5}$ $\frac{2}{5}$

Explanation:

Step1: Recall multiplication of integer and fraction

To multiply an integer \(a\) with a fraction \(\frac{b}{c}\), we use the rule \(a\times\frac{b}{c}=\frac{a\times b}{c}\). Here, \(a = 2\), \(b=1\) and \(c = 5\).

Step2: Apply the rule

Substitute the values into the formula: \(2\times\frac{1}{5}=\frac{2\times1}{5}=\frac{2}{5}\). Also, from the model (the rectangle divided into 5 equal parts, and we are taking 2 groups of \(\frac{1}{5}\)), we can see that 2 times \(\frac{1}{5}\) is the sum of two \(\frac{1}{5}\)s, i.e., \(\frac{1}{5}+\frac{1}{5}=\frac{2}{5}\).

Answer:

\(\frac{2}{5}\) (corresponding to the option with \(\frac{2}{5}\))