Question

are the ratios 1:3 and 2:5 equivalent? yes no

Explanation:

Step1: Convert ratios to fractions

A ratio \(a:b\) can be written as a fraction \(\frac{a}{b}\). So, \(1:3\) is \(\frac{1}{3}\) and \(2:5\) is \(\frac{2}{5}\).

Step2: Check if fractions are equal

To check if \(\frac{1}{3}\) and \(\frac{2}{5}\) are equal, we can cross - multiply. For two fractions \(\frac{a}{b}\) and \(\frac{c}{d}\), if \(a\times d = b\times c\), then the fractions are equal. Here, \(1\times5 = 5\) and \(3\times2=6\). Since \(5
eq6\), the fractions are not equal. So the ratios are not equivalent.

Answer:

no