Are these ratios equivalent? 14 full-time employees to 2 part-time employees 7 full-time employees to 1 part-time employee Choices: (A)yes (B)no

Identify Ratios: Identify the given ratios: First ratio: 14 full-time employees to 2 part-time employees. Second ratio: 7 full-time employees to 1 part-time employee. Simplify First Ratio: Check if the ratios are equivalent by simplifying the first ratio: Simplify 14:2 by dividing both numbers by 2. 14 ÷ 2 = 7, 2 ÷ 2 = 1. Simplified ratio = 7:1. Compare Ratios: Compare the simplified first ratio to the second ratio: First ratio (simplified) = 7:1. Second ratio = 7:1. Since both ratios are the same, they are equivalent.

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Are these ratios equivalent? $\newline$ $14$ full-time employees to $2$ part-time employees $\newline$ $7$ full-time employees to $1$ part-time employee $\newline$ 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

14

full-time employees to

2

part-time employees

\newline

7

full-time employees to

1

part-time employee

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Identify Ratios: Identify the given ratios: $\newline$ First ratio: $14$ full-time employees to $2$ part-time employees. $\newline$ Second ratio: $7$ full-time employees to $1$ part-time employee.
Simplify First Ratio: Check if the ratios are equivalent by simplifying the first ratio: $\newline$ Simplify $14:2$ by dividing both numbers by $2$ . $\newline$ $14 \div 2 = 7$ , $2 \div 2 = 1$ . $\newline$ Simplified ratio = $7:1$ .
Compare Ratios: Compare the simplified first ratio to the second ratio: $\newline$ First ratio (simplified) = $7:1$ . $\newline$ Second ratio = $7:1$ . $\newline$ Since both ratios are the same, they are equivalent.