Question

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

Answer 1

Answer:

No.

Step-by-step explanation:

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

Answer 2

Answer:  No; they are not equivalent.

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Step-by-step explanation:

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Note: The ratio:  " 1:2 " ;  can be written as:  " $\frac{1}{2}$ " ;

         The ratio:  " 5:18 " ; can be written as: " $\frac{5}{18}$ " .

  → " $\frac{1}{2} \neq \frac{5}{18}$ " ;

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 → " $\frac{1}{2} = \frac{(1*9)}{(2*9)} = \frac{9}{18}$ " ;

                   → " $\frac{9}{18} \neq \frac{5}{18}$ " ;

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 → " $\frac{1}{2} = \frac{(1*5)}{(2*5)} = \frac{5}{10}$ " ;

                   → " $\frac{5}{10} \neq \frac{5}{18}$ " ;

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 → " $\frac{5}{18} = \frac{(5/9)}{(18/9)} = \frac{0.5555555555...}{2}$ " ;

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                   → " $\frac{0.555555555...}{2} \neq \frac{1}{2}$ " ;

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 → " $\frac{5}{18} = \frac{(5/5)}{(18/5)} =\frac{1}{(3.6)}$ " ;

                   → " $\frac{1}{(3.6)} \neq \frac{1}{2}$ " .

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Hope this helps!

Best wishes!

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