Question

53 are these two ratios proportional? \\(\frac{4}{15} = \frac{3}{7}\\) \\(\boldsymbol{\text{a}}\\) yes \\(\boldsymbol{\text{b}}\\) no

Explanation:

Step1: Cross - multiply the ratios

To check if two ratios \(\frac{a}{b}=\frac{c}{d}\) are proportional, we use the cross - multiplication property. That is, we check if \(a\times d=b\times c\).
For the ratios \(\frac{4}{15}\) and \(\frac{3}{7}\), we have \(a = 4\), \(b = 15\), \(c = 3\), and \(d=7\).
Cross - multiplying gives us \(4\times7\) and \(15\times3\).

Step2: Calculate the products

Calculate \(4\times7 = 28\) and \(15\times3=45\).
Since \(28
eq45\), the two ratios are not proportional.

Answer:

B. No