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Are the ratios $4:3$ and $20:15$ equivalent? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Identify equivalent ratios

Full solution

Q. Are the ratios

4:3

and

20:15

equivalent?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Simplify Ratio $4:3$ : Step $1$ : Simplify the ratio $4:3$ . $4:3$ is already in its simplest form.
Simplify Ratio $20:15$ : Step $2$ : Simplify the ratio $20:15$ . $\newline$ Divide both terms by their greatest common divisor, which is $5$ . $\newline$ $20 \div 5 = 4$ , $15 \div 5 = 3$ . $\newline$ So, the simplest form of $20:15$ is $4:3$ .
Compare Simplified Ratios: Step $3$ : Compare the simplified forms of both ratios. $\newline$ Both ratios simplify to $4:3$ .

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