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Are the ratios $5:4$ and $19:16$ equivalent? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Identify equivalent ratios

Full solution

Q. Are the ratios

5:4

and

19:16

equivalent?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Simplify ratio $5:4$ : Simplify the ratio $5:4$ . $\newline$ Since $5$ and $4$ are coprime (no common factors other than $1$ ), the ratio $5:4$ is already in its simplest form.
Simplify ratio $19:16$ : Simplify the ratio $19:16$ . Similarly, $19$ and $16$ are coprime, so the ratio $19:16$ is also in its simplest form.
Compare simplified ratios: Compare the simplified ratios. $\newline$ The simplified form of the first ratio is $5:4$ , and the simplified form of the second ratio is $19:16$ . Since these two ratios are not the same, they are not equivalent.

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