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Are the ratios $4:3$ and $16:12$ equivalent? $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

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Identify equivalent ratios

Full solution

Q. Are the ratios

4:3

and

16:12

equivalent?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Simplify Ratio $4:3$ : Step $1$ : Simplify the ratio $4:3$ . $4:3$ is already in its simplest form.
Simplify Ratio $16:12$ : Step $2$ : Simplify the ratio $16:12$ . $\newline$ Divide both terms by their greatest common divisor, which is $4$ . $\newline$ $16 \div 4 = 4$ , $12 \div 4 = 3$ . $\newline$ So, the simplest form of $16:12$ is $4:3$ .
Compare Simplified Forms: Step $3$ : Compare the simplified forms. $\newline$ Both ratios, $4:3$ and $4:3$ , are the same.

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