Are these ratios equivalent? 1 red sweatshirt : 3 indigo sweatshirts 5 red sweatshirts : 16 indigo sweatshirts Choices: (A)yes (B)no

Simplify First Ratio: Step 1: Simplify the first ratio. 1 red sweatshirt : 3 indigo sweatshirts remains 1:3 after simplification.Simplify Second Ratio: Step 2: Simplify the second ratio. 5 red sweatshirts : 16 indigo sweatshirts simplifies to 5:16 by dividing both terms by their greatest common divisor, which is 1.Compare Simplified Ratios: Step 3: Compare the simplified ratios. The simplified ratios are 1:3 and 5:16. Since 1/3 is not equal to 5/16, the ratios are not equivalent.

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Are these ratios equivalent? $\newline$ $1$ red sweatshirt : $3$ indigo sweatshirts $\newline$ $5$ red sweatshirts : $16$ indigo sweatshirts $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Grade 6

Equivalent ratios: word problems

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Q. Are these ratios equivalent?

\newline

1

red sweatshirt :

3

indigo sweatshirts

\newline

5

red sweatshirts :

16

indigo sweatshirts

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Simplify First Ratio: Step $1$ : Simplify the first ratio. $\newline$ $1$ red sweatshirt : $3$ indigo sweatshirts remains $1:3$ after simplification.
Simplify Second Ratio: Step $2$ : Simplify the second ratio. $5$ red sweatshirts : $16$ indigo sweatshirts simplifies to $5:16$ by dividing both terms by their greatest common divisor, which is $1$ .
Compare Simplified Ratios: Step $3$ : Compare the simplified ratios. $\newline$ The simplified ratios are $1:3$ and $5:16$ . Since $\frac{1}{3}$ is not equal to $\frac{5}{16}$ , the ratios are not equivalent.