Question

Are the ratios 5:18 and 1:2 equivalent?

Answer 1

Answer: No; they are not equivalent.

_____________

Explanation:

_____________

Note: The ratio: " 1:2 " ; can be written as: "
`(1)/(2)` " ;

The ratio: " 5:18 " ; can be written as: "
`(5)/(18)` " .

→ "
`(1)/(2) \\eq (5)/(18)` " ;

_____________

→ "
`(1)/(2) = ((1*9))/((2*9)) = (9)/(18)` " ;

→ "
`(9)/(18) \\eq (5)/(18)` " ;

_____________

→ "
`(1)/(2) = ((1*5))/((2*5)) = (5)/(10)` " ;

→ "
`(5)/(10) \\eq (5)/(18)` " ;

_____________

→ "
`(5)/(18) = ((5/9))/((18/9)) = (0.5555555555...)/(2)` " ;

_____________

→ "
`(0.555555555...)/(2) \\eq (1)/(2)` " ;

_____________

→ "
`(5)/(18) = ((5/5))/((18/5)) =(1)/((3.6))` " ;

→ "
`(1)/((3.6)) \\eq (1)/(2)` " .

_____________

Hope this helps!

Best wishes!

_____________

Answer 2

No.

Explanation:

The ratios would be equivalent if 5:18 was 5:10 instead.