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Are the ratios $2:3$ and $4:9$ equivalent? $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

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Identify equivalent ratios

Full solution

Q. Are the ratios

2:3

and

4:9

equivalent?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Simplify Ratio $2:3$ : Step $1$ : Simplify the ratio $2:3$ . The ratio $2:3$ is already in its simplest form.
Simplify Ratio $4:9$ : Step $2$ : Simplify the ratio $4:9$ . $\newline$ The ratio $4:9$ is also in its simplest form.
Compare Simplified Ratios: Step $3$ : Compare the simplest forms of the ratios. $\newline$ The simplest form of the first ratio is $2:3$ , and the simplest form of the second ratio is $4:9$ . Since these two ratios are not the same, they are not equivalent.

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