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

User Ichthyo
by
8.3k points

2 Answers

6 votes

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) " ;

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

→ "
(5)/(10) \\eq (5)/(18) " ;

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

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

_____________

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

→ "
(1)/((3.6)) \\eq (1)/(2) " .

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Hope this helps!

Best wishes!

_____________

User OYRM
by
8.0k points
2 votes

Answer:

No.

Explanation:

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

User Badaboum
by
8.1k points

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