Question

do the ratios \\(\frac{6}{7}\\) and \\(\frac{2}{5}\\) form a proportion?
yes
no

Explanation:

Step1: Cross - multiply the ratios

To check if two ratios \(\frac{a}{b}\) and \(\frac{c}{d}\) form a proportion, we use the cross - multiplication property. That is, we check if \(a\times d=b\times c\).
For the ratios \(\frac{6}{7}\) and \(\frac{2}{5}\), \(a = 6\), \(b = 7\), \(c = 2\), and \(d = 5\).
Cross - multiplying, we get \(6\times5=30\) and \(7\times2 = 14\).

Step2: Compare the cross - products

Since \(30
eq14\), the two ratios do not form a proportion.

Answer:

no