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Are the ratios $2:1$ and $13:7$ equivalent? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Identify equivalent ratios

Full solution

Q. Are the ratios

2:1

and

13:7

equivalent?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Simplify Ratio $2:1$ : Step $1$ : Simplify the ratio $2:1$ . The ratio $2:1$ is already in its simplest form.
Simplify Ratio $13:7$ : Step $2$ : Simplify the ratio $13:7$ . The ratio $13:7$ cannot be simplified further as $13$ and $7$ are coprime (no common factors other than $1$ ).
Compare Simplified Forms: Step $3$ : Compare the simplified forms of both ratios. $\newline$ The simplest form of the first ratio is $2:1$ , and the simplest form of the second ratio is $13:7$ . Since these two forms are not the same, the ratios $2:1$ and $13:7$ are not equivalent.

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