Question

(there are three answers.)
*remember....ratios are equal if:

1. you multiply both numbers by the same amount.
2. you divide both numbers by the same amount.

select all of the ratios that are equivalent to 8 : 6.
□ a. 10 : 8 □ b. 4 : 3 □ c. 6 : 4 □ d. 40 : 30 □ e. 16 : 12
□a
□b
□c
□d
□e

Explanation:

Step1: Simplify the original ratio

Simplify \(8:6\) by dividing both by 2. So \(8\div2 = 4\) and \(6\div2 = 3\), giving \(4:3\) (matches option B).

Step2: Check option D

Multiply \(8:6\) by 5. \(8\times5 = 40\) and \(6\times5 = 30\), so \(40:30\) (matches option D).

Step3: Check option E

Multiply \(8:6\) by 2. \(8\times2 = 16\) and \(6\times2 = 12\), so \(16:12\) (matches option E).

Step4: Check option A

Simplify \(10:8\) by dividing by 2: \(5:4\), not equal to \(8:6\) (eliminated).

Step5: Check option C

Simplify \(6:4\) by dividing by 2: \(3:2\), not equal to \(8:6\) (eliminated).

Answer:

B. 4:3, D. 40:30, E. 16:12