Question

Determine if each pair of ratios are equivalent.

1. 8/5, 24/20

2. 0.5/10, 5/100

3. 1.3/5.2, 12/48

Answer 1

`\displaystyle\\1.\\\\(24^((4))/(20)= (6)/(5) <(8)/(5) ~~\Longrightarrow~~\boxed{(8)/(5)>(24)/(20)}\\\\\\2.\\\\(0.5^((0.5))/(10)= (1)/(20)\\\\(5^((5))/(100)= (1)/(20) \\\\\Longrightarrow~~\boxed{(0.5)/(10)= (5)/(100)}\\\\3.\\\\(1.3^((1.3))/(5.2)= (1)/(4)\\ \\(12^((12))/(48) = (1)/(4)\\\\\Longrightarrow~~\boxed{(1.3)/(5.2)= (12)/(48)}`

Answer 2

The first one I am pretty sure is not equivalent. The second one is equivalent. I am not sure about the third one.