Are the ratios 11:14 and 1:2 equivalent? Choices: (A)yes (B)no

Simplify Ratio 11:14: Step 1: Simplify the ratio 11:14. Since the greatest common divisor of 11 and 14 is 1, the ratio 11:14 is already in its simplest form.Simplify Ratio 1:2: Step 2: Simplify the ratio 1:2. The ratio 1:2 is already in its simplest form, as the greatest common divisor of 1 and 2 is 1.Compare Simplified Ratios: Step 3: Compare the simplified ratios. The simplified form of the first ratio is 11:14, and the simplified form of the second ratio is 1:2. Since these two ratios are not the same, they are not equivalent.

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Are the ratios $11:14$ and $1:2$ equivalent? $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

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Math Problems

Grade 7

Identify equivalent ratios

Full solution

Q. Are the ratios

11:14

and

1:2

equivalent?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Simplify Ratio $11:14$ : Step $1$ : Simplify the ratio $11:14$ . $\newline$ Since the greatest common divisor of $11$ and $14$ is $1$ , the ratio $11:14$ is already in its simplest form.
Simplify Ratio $1$ : $2$ : Step $2$ : Simplify the ratio $1:2$ . The ratio $1:2$ is already in its simplest form, as the greatest common divisor of $1$ and $2$ is $1$ .
Compare Simplified Ratios: Step $3$ : Compare the simplified ratios. $\newline$ The simplified form of the first ratio is $11:14$ , and the simplified form of the second ratio is $1:2$ . Since these two ratios are not the same, they are not equivalent.