Question

are the ratios 1:2 and 11:14 equivalent? yes no

Explanation:

Step1: Recall ratio equivalence

Two ratios \(a:b\) and \(c:d\) are equivalent if \(\frac{a}{b}=\frac{c}{d}\) (cross - multiply: \(a\times d = b\times c\)).
For ratios \(1:2\) and \(11:14\), \(a = 1\), \(b = 2\), \(c = 11\), \(d = 14\).

Step2: Cross - multiply

Calculate \(a\times d=1\times14 = 14\) and \(b\times c = 2\times11=22\).
Since \(14
eq22\), \(\frac{1}{2}
eq\frac{11}{14}\), so the ratios are not equivalent.

Answer:

no