Are the ratios 13:18 and 2:3 equivalent? Choices: (A)yes (B)no

Simplify Ratio 13:18: Step 1: Simplify the ratio 13:18. To simplify, find the greatest common divisor (GCD) of 13 and 18. The GCD of 13 and 18 is 1, since 13 is a prime number. Simplified ratio = 13/1 : 18/1 = 13:18.Simplify Ratio 2:3: Step 2: Simplify the ratio 2:3. The ratio 2:3 is already in its simplest form because the GCD of 2 and 3 is 1. Simplified ratio = 2:3.Compare Simplified Ratios: Step 3: Compare the simplified ratios. The simplified form of the first ratio is 13:18, and the simplified form of the second ratio is 2:3. These ratios are not the same.

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Are the ratios $13:18$ and $2:3$ equivalent? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Math Problems

Grade 7

Identify equivalent ratios

Full solution

Q. Are the ratios

13:18

and

2:3

equivalent?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Simplify Ratio $13:18$ : Step $1$ : Simplify the ratio $13:18$ . To simplify, find the greatest common divisor (GCD) of $13$ and $18$ . The GCD of $13$ and $18$ is $1$ , since $13$ is a prime number. Simplified ratio = $\frac{13}{1} : \frac{18}{1} = 13:18$ .
Simplify Ratio $2:3$ : Step $2$ : Simplify the ratio $2:3$ . $\newline$ The ratio $2:3$ is already in its simplest form because the GCD of $2$ and $3$ is $1$ . $\newline$ Simplified ratio = $2:3$ .
Compare Simplified Ratios: Step $3$ : Compare the simplified ratios. $\newline$ The simplified form of the first ratio is $13:18$ , and the simplified form of the second ratio is $2:3$ . These ratios are not the same.