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

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Identify equivalent ratios

Full solution

Q. Are the ratios

12:18

and

2:3

equivalent?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Simplify Ratio: Simplify the ratio $12:18$ . $\newline$ Calculation: The greatest common divisor (GCD) of $12$ and $18$ is $6$ . $\newline$ $12 \div 6 = 2$ , $18 \div 6 = 3$ . $\newline$ Simplified ratio = $2:3$ .
Compare Ratios: Compare the simplified ratio of $12:18$ to $2:3$ . $\newline$ Calculation: Simplified ratio of $12:18$ is $2:3$ , which is the same as the given ratio $2:3$ .

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