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Are the ratios $1:2$ and $8:18$ 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

8:18

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 $8:18$ : Simplify the ratio $8:18$ . $\newline$ Divide both terms by their greatest common divisor, which is $2$ . $\newline$ $8 \div 2 = 4$ , $18 \div 2 = 9$ . $\newline$ So, the simplest form of $8:18$ is $4:9$ .
Compare simplified ratios: Compare the simplified ratios. $\newline$ The simplest form of $1:2$ is $1:2$ . $\newline$ The simplest form of $8:18$ is $4:9$ . $\newline$ Since $1:2$ does not equal $4:9$ , the ratios are not equivalent.

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