Question

the model shows the product of \\(\frac{2}{5}\\) and \\(\frac{4}{7}\\).
\\(\frac{4}{7}\\)
\\(\frac{2}{5}\\)
what is the product of \\(\frac{2}{5}\\) and \\(\frac{4}{7}\\)?
a. \\(\frac{34}{35}\\)
b. \\(\frac{8}{35}\\)
c. \\(\frac{26}{35}\\)
d. \\(\frac{9}{35}\\)

Explanation:

Step1: Recall the formula for multiplying fractions

To multiply two fractions \(\frac{a}{b}\) and \(\frac{c}{d}\), we use the formula \(\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}\).

Step2: Apply the formula to \(\frac{2}{5}\) and \(\frac{4}{7}\)

Here, \(a = 2\), \(b = 5\), \(c = 4\), and \(d = 7\). So we calculate the numerator as \(2\times4 = 8\) and the denominator as \(5\times7 = 35\). Thus, \(\frac{2}{5}\times\frac{4}{7}=\frac{2\times4}{5\times7}=\frac{8}{35}\).

Answer:

B. \(\frac{8}{35}\)