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Are the ratios $5:1$ and $20:4$ equivalent? $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

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Identify equivalent ratios

Full solution

Q. Are the ratios

5:1

and

20:4

equivalent?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Simplify Ratio $5:1$ : Step $1$ : Simplify the ratio $5:1$ . $5:1$ is already in its simplest form because $5$ and $1$ have no common factors other than $1$ .
Simplify Ratio $20:4$ : Step $2$ : Simplify the ratio $20:4$ . Divide both terms by their greatest common divisor, which is $4$ . $20 \div 4 = 5$ and $4 \div 4 = 1$ . So, the simplest form of $20:4$ is $5:1$ .
Compare Simplified Ratios: Step $3$ : Compare the simplified ratios. $\newline$ Both ratios, $5:1$ from Step $1$ and $5:1$ from Step $2$ , are the same.

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