Are these ratios equivalent? 5 full-time employees : 7 part-time employees 18 full-time employees : 18 part-time employees Choices: (A)yes (B)no

Convert to simplest form: Step 1: Convert the first ratio to its simplest form. 5 full-time employees : 7 part-time employees remains 5:7 since 5 and 7 are prime numbers relative to each other. Compare simplified ratios: Step 2: Convert the second ratio to its simplest form. 18 full-time employees : 18 part-time employees simplifies to 1:1 because both numbers are divisible by 18. Step 3: Compare the simplified ratios. The simplified ratios are 5:7 and 1:1. These ratios are not equivalent because their proportions are different.

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Are these ratios equivalent? $\newline$ $5$ full-time employees : $7$ part-time employees $\newline$ $18$ full-time employees : $18$ part-time employees $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Math Problems

Grade 6

Equivalent ratios: word problems

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Q. Are these ratios equivalent?

\newline

5

full-time employees :

7

part-time employees

\newline

18

full-time employees :

18

part-time employees

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Convert to simplest form: Step $1$ : Convert the first ratio to its simplest form. $\newline$ $5$ full-time employees : $7$ part-time employees remains $5:7$ since $5$ and $7$ are prime numbers relative to each other.
Compare simplified ratios: Step $2$ : Convert the second ratio to its simplest form. $18$ full-time employees : $18$ part-time employees simplifies to $1:1$ because both numbers are divisible by $18$ .
Compare simplified ratios: Step $2$ : Convert the second ratio to its simplest form. $\newline$ $18$ full-time employees : $18$ part-time employees simplifies to $1:1$ because both numbers are divisible by $18$ . Step $3$ : Compare the simplified ratios. $\newline$ The simplified ratios are $5:7$ and $1:1$ . These ratios are not equivalent because their proportions are different.