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Are the ratios $14:16$ and $1:2$ equivalent? $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

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Identify equivalent ratios

Full solution

Q. Are the ratios

14:16

and

1:2

equivalent?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Simplify Ratio: Simplify the ratio $14:16$ . $\newline$ Calculation: The greatest common divisor (GCD) of $14$ and $16$ is $2$ . $\newline$ $14 \div 2 = 7$ and $16 \div 2 = 8$ . $\newline$ So, the simplest form of $14:16$ is $7:8$ .
Compare Ratios: Compare the simplified ratio $7:8$ to $1:2$ . $\newline$ Observation: $7:8$ is not the same as $1:2$ .
Verify Equivalence: Since $7:8$ is different from $1:2$ , the ratios $14:16$ and $1:2$ are not equivalent. $\newline$ Choose the option that says the ratios $14:16$ and $1:2$ are not equivalent.

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