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Are the ratios $1:2$ and $3:18$ equivalent? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Identify equivalent ratios

Full solution

Q. Are the ratios

1:2

and

3:18

equivalent?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Simplify $1:2$ : Simplify the ratio $1:2$ . $\newline$ $1:2$ is already in its simplest form.
Simplify $3$ : $18$ : Simplify the ratio $3:18$ . $\newline$ Divide both terms by $3$ , $\frac{3}{3} : \frac{18}{3} = 1:6$ .
Compare simplified ratios: Compare the simplified ratios. $\newline$ The simplest form of $1:2$ is $1:2$ , and the simplest form of $3:18$ is $1:6$ . Since $1:2$ does not equal $1:6$ , the ratios are not equivalent.

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