Are these ratios equivalent? 8 employees every 20 days 4 employees every 17 days Choices: (A)yes (B)no

Simplify Ratio: Simplify the first ratio. Original ratio: 8 employees every 20 days. Simplified ratio: Divide both terms by 4. Calculation: 8 ÷ 4 = 2, 20 ÷ 4 = 5. Simplified ratio = 2 employees every 5 days.Simplify Ratio: Simplify the second ratio. Original ratio: 4 employees every 17 days. Simplified ratio: Cannot be simplified further as 4 and 17 are relatively prime.Compare Ratios: Compare the simplified ratios. First ratio: 2 employees every 5 days. Second ratio: 4 employees every 17 days. Since 2/5 is not equal to 4/17, the ratios are not equivalent.

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Are these ratios equivalent? $\newline$ $8$ employees every $20$ days $\newline$ $4$ employees every $17$ days $\newline$ 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

8

employees every

20

days

\newline

4

employees every

17

days

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Simplify Ratio: Simplify the first ratio. $\newline$ Original ratio: $8$ employees every $20$ days. $\newline$ Simplified ratio: Divide both terms by $4$ . $\newline$ Calculation: $8 \div 4 = 2$ , $20 \div 4 = 5$ . $\newline$ Simplified ratio = $2$ employees every $5$ days.
Simplify Ratio: Simplify the second ratio. $\newline$ Original ratio: $4$ employees every $17$ days. $\newline$ Simplified ratio: Cannot be simplified further as $4$ and $17$ are relatively prime.
Compare Ratios: Compare the simplified ratios. $\newline$ First ratio: $2$ employees every $5$ days. $\newline$ Second ratio: $4$ employees every $17$ days. $\newline$ Since $\frac{2}{5}$ is not equal to $\frac{4}{17}$ , the ratios are not equivalent.