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Are the ratios $18:12$ and $3:2$ equivalent? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Identify equivalent ratios

Full solution

Q. Are the ratios

18:12

and

3:2

equivalent?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Simplify Ratio: Simplify the ratio $18:12$ . $\newline$ Calculation: Divide both terms by their greatest common divisor, which is $6$ . $\newline$ $18 \div 6 = 3$ , $12 \div 6 = 2$ . $\newline$ So, the simplest form of $18:12$ is $3:2$ .
Compare Simplified Forms: Compare the simplified form of $18:12$ to $3:2$ . $\newline$ Since the simplest form of $18:12$ is $3:2$ , which is exactly the same as the ratio $3:2$ .

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