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Are the ratios $14:6$ and $2:1$ equivalent? $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

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Identify equivalent ratios

Full solution

Q. Are the ratios

14:6

and

2:1

equivalent?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Simplify Ratio: Simplify the ratio $14:6$ . $\newline$ Calculation: The greatest common divisor of $14$ and $6$ is $2$ . $\newline$ $14 \div 2 = 7$ , $6 \div 2 = 3$ . $\newline$ So, the simplest form of $14:6$ is $7:3$ .
Compare Ratios: Compare the simplified ratio $7:3$ to $2:1$ . $\newline$ Calculation: $\frac{7}{3}$ is not equal to $\frac{2}{1}$ .

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