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

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Identify equivalent ratios

Full solution

Q. Are the ratios

6:18

and

1:3

equivalent?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Simplify Ratio: Simplify the ratio $6:18$ . $\newline$ Calculation: Divide both terms by their greatest common divisor, which is $6$ . $\newline$ $6 \div 6 = 1$ and $18 \div 6 = 3$ . $\newline$ So, the simplest form of $6:18$ is $1:3$ .
Compare Simplified Forms: Compare the simplified form of $6:18$ to $1:3$ . $\newline$ Since the simplest form of $6:18$ is $1:3$ , which is exactly the same as the ratio $1:3$ .

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