Are these ratios equivalent? 7 friends : 14 strangers 5 friends : 15 strangers Choices: (A)yes (B)no

Simplify First Ratio: Step 1: Simplify the first ratio. Original ratio: 7 friends : 14 strangers. Simplified by dividing both terms by 7: 1 friend : 2 strangers.Simplify Second Ratio: Step 2: Simplify the second ratio. Original ratio: 5 friends : 15 strangers. Simplified by dividing both terms by 5: 1 friend : 3 strangers.Compare Simplified Ratios: Step 3: Compare the simplified ratios. First ratio: 1 friend : 2 strangers. Second ratio: 1 friend : 3 strangers. Since the ratios are not the same, they are not equivalent.

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Are these ratios equivalent? $\newline$ $7$ friends : $14$ strangers $\newline$ $5$ friends : $15$ strangers $\newline$ 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

7

friends :

14

strangers

\newline

5

friends :

15

strangers

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Simplify First Ratio: Step $1$ : Simplify the first ratio. $\newline$ Original ratio: $7$ friends : $14$ strangers. $\newline$ Simplified by dividing both terms by $7$ : $1$ friend : $2$ strangers.
Simplify Second Ratio: Step $2$ : Simplify the second ratio. $\newline$ Original ratio: $5$ friends : $15$ strangers. $\newline$ Simplified by dividing both terms by $5$ : $1$ friend : $3$ strangers.
Compare Simplified Ratios: Step $3$ : Compare the simplified ratios. $\newline$ First ratio: $1$ friend : $2$ strangers. $\newline$ Second ratio: $1$ friend : $3$ strangers. $\newline$ Since the ratios are not the same, they are not equivalent.