If x : y = 3 : 4 and y : z = 8 : 9, find the unified ratio x : z in its simplest form.
Answer and explanation
Correct answer: D. 2 : 3
- Step 1: Multiply ratios: (x/y) (y/z) = x/z. Step 2. Calculate: (3/4) (8/9) = (3 8) / (4 9) = 24 / 36 = 2/3, so x : z = 2 : 3. Answer: 2 : 3. Why not the others: 3 : 9 reduces to 1:3; 1 : 2 is 4/8; 3 : 8 ignores y.
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