What is the compound ratio of the three simple ratios 2 : 3, 6 : 5, and 10 : 9?

Answer and explanation

Correct answer: D. 8 : 9

  1. Step 1: Multiply antecedents and consequents: (2 6 10) / (3 5 9). Step 2. Compute: 120 / 135 = (120 / 15) / (135 / 15) = 8 / 9. Answer: 8 : 9. Why not the others: 4:5 simplifies 120/150; 12:15 is unreduced 4:5; 2:3 is the first component ratio.

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