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Are the ratios $1:2$ and $19:20$ equivalent? $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

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Identify equivalent ratios

Full solution

Q. Are the ratios

1:2

and

19:20

equivalent?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Simplify $1:2$ : Simplify the ratio $1:2$ . $\newline$ $1:2$ is already in its simplest form.
Simplify $19:20$ : Simplify the ratio $19:20$ . $\newline$ $19:20$ cannot be simplified further as $19$ is a prime number and does not divide $20$ .
Compare simplified ratios: Compare the simplest forms of both ratios. $\newline$ The simplest form of the first ratio is $1:2$ . $\newline$ The simplest form of the second ratio is $19:20$ . $\newline$ Since $1:2$ is not equal to $19:20$ , the ratios are not equivalent.

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