Question

are the ratios 10:20 and 2:4 equivalent? yes no

Explanation:

Step1: Simplify 10:20

A ratio \(a:b\) can be simplified by dividing both \(a\) and \(b\) by their greatest common divisor (GCD). The GCD of 10 and 20 is 10. So, \(\frac{10}{10}:\frac{20}{10}=1:2\).

Step2: Simplify 2:4

The GCD of 2 and 4 is 2. Dividing both by 2, we get \(\frac{2}{2}:\frac{4}{2}=1:2\).

Step3: Compare the simplified ratios

Both ratios simplify to \(1:2\), so they are equivalent.

Answer:

yes