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

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Identify equivalent ratios

Full solution

Q. Are the ratios

18:3

and

6:1

equivalent?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Simplify Ratio Calculation: Step $1$ : Simplify the ratio $18:3$ . $\newline$ Calculation: Divide both terms by their greatest common divisor, which is $3$ . $\newline$ $18 \div 3 = 6$ , $3 \div 3 = 1$ . $\newline$ So, the simplest form of $18:3$ is $6:1$ .
Compare Simplified Ratios: Step $2$ : Compare the simplified ratio $6:1$ with the second ratio $6:1$ . Since both ratios are already in the simplest form and they match exactly, The ratios $18:3$ and $6:1$ are equivalent.

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