Question

are the ratios 12:7 and 2:1 equivalent? yes no

Explanation:

Step1: Convert ratios to fractions

Ratios can be written as fractions. So, \(12:7\) is \(\frac{12}{7}\) and \(2:1\) is \(\frac{2}{1} = 2\).

Step2: Compare the fractions

\(\frac{12}{7}\approx1.714\) and \(2\) is not equal to \(1.714\). Also, we can check cross - multiplication: For two ratios \(a:b\) and \(c:d\) to be equivalent, \(a\times d=b\times c\). Here, \(12\times1 = 12\) and \(7\times2=14\). Since \(12
eq14\), the ratios are not equivalent.

Answer:

no