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Are the ratios $1:3$ and $6:18$ equivalent? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Identify equivalent ratios

Full solution

Q. Are the ratios

1:3

and

6:18

equivalent?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Simplify $1:3$ : Step $1$ : Simplify the ratio $1:3$ . $1:3$ is already in its simplest form.
Simplify $6:18$ : Step $2$ : Simplify the ratio $6:18$ . $\newline$ Divide both terms by their greatest common divisor, which is $6$ . $\newline$ $6 \div 6 = 1$ , $18 \div 6 = 3$ . $\newline$ So, the simplest form of $6:18$ is $1:3$ .
Compare simplified ratios: Step $3$ : Compare the simplified forms of both ratios. $\newline$ Both ratios simplify to $1:3$ .

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