Question

are the ratios 5:10 and 2:1 equivalent? yes no

Explanation:

Step1: Simplify 5:10

To simplify a ratio \(a:b\), we can divide both \(a\) and \(b\) by their greatest common divisor. For \(5:10\), the greatest common divisor of 5 and 10 is 5. So, \(\frac{5}{5}:\frac{10}{5}=1:2\).

Step2: Compare with 2:1

The simplified form of \(5:10\) is \(1:2\), and the other ratio is \(2:1\). Since \(1:2\) is not the same as \(2:1\), the ratios are not equivalent.

Answer:

no