Are these ratios equivalent? 15 friends for every 5 strangers 18 friends for every 6 strangers Choices: (A)yes (B)no

Simplify Ratio: Simplify the first ratio. Original ratio: 15 friends for every 5 strangers. Simplified ratio: Divide both terms by 5. Calculation: 15 ÷ 5 = 3, 5 ÷ 5 = 1. Simplified ratio = 3:1.Simplify Ratio: Simplify the second ratio. Original ratio: 18 friends for every 6 strangers. Simplified ratio: Divide both terms by 6. Calculation: 18 ÷ 6 = 3, 6 ÷ 6 = 1. Simplified ratio = 3:1.Compare Ratios: Compare the simplified ratios. First ratio: 3:1. Second ratio: 3:1. Since both ratios are the same, they are equivalent.

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Are these ratios equivalent? $\newline$ $15$ friends for every $5$ strangers $\newline$ $18$ friends for every $6$ 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

15

friends for every

5

strangers

\newline

18

friends for every

6

strangers

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Simplify Ratio: Simplify the first ratio. $\newline$ Original ratio: $15$ friends for every $5$ strangers. $\newline$ Simplified ratio: Divide both terms by $5$ . $\newline$ Calculation: $15 \div 5 = 3$ , $5 \div 5 = 1$ . $\newline$ Simplified ratio = $3:1$ .
Simplify Ratio: Simplify the second ratio. $\newline$ Original ratio: $18$ friends for every $6$ strangers. $\newline$ Simplified ratio: Divide both terms by $6$ . $\newline$ Calculation: $18 \div 6 = 3$ , $6 \div 6 = 1$ . $\newline$ Simplified ratio = $3:1$ .
Compare Ratios: Compare the simplified ratios. $\newline$ First ratio: $3:1$ . $\newline$ Second ratio: $3:1$ . $\newline$ Since both ratios are the same, they are equivalent.