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Are the ratios $5:4$ and $20:16$ equivalent? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Identify equivalent ratios

Full solution

Q. Are the ratios

5:4

and

20:16

equivalent?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Simplify Ratio $5:4$ : Simplify the ratio $5:4$ . $\newline$ Calculation: The ratio $5:4$ is already in its simplest form.
Simplify Ratio $20:16$ : Simplify the ratio $20:16$ . $\newline$ Calculation: Divide both terms by their greatest common divisor, which is $4$ . $\newline$ $20 \div 4 = 5$ , $16 \div 4 = 4$ . $\newline$ So, the simplest form of $20:16$ is $5:4$ .
Compare Simplified Ratios: Compare the simplified forms of both ratios. $\newline$ Since both simplified forms are $5:4$ , the ratios $5:4$ and $20:16$ are equivalent.

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