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Are the ratios $1:2$ and $15:20$ equivalent? $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

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Identify equivalent ratios

Full solution

Q. Are the ratios

1:2

and

15:20

equivalent?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Simplify Ratio $1:2$ : Step $1$ : Simplify the ratio $1:2$ . $\newline$ $1:2$ is already in its simplest form.
Simplify Ratio $15:20$ : Step $2$ : Simplify the ratio $15:20$ . $\newline$ Divide both terms by their greatest common divisor, which is $5$ . $\newline$ $15 \div 5 = 3$ , $20 \div 5 = 4$ . $\newline$ So, the simplest form of $15:20$ is $3:4$ .
Compare Simplified Ratios: Step $3$ : Compare the simplified ratios. $\newline$ The simplified form of $1:2$ is $1:2$ , and the simplified form of $15:20$ is $3:4$ . $\newline$ Since $1:2$ does not equal $3:4$ , the ratios are not equivalent.

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