If A:B = 6:8 and B:C = 5:11, then find the ratio A:B:C.

Question

Accepted Answer

Given ratios are A:B = 6:8 and B:C = 5:11.

Step 1: Express both ratios with the same B value.
- A:B = 6:8
- B:C = 5:11

Step 2: Find LCM of B terms (8 and 5) to equalize B.
- LCM of 8 and 5 is 40.

Step 3: Adjust ratios to have B = 40.
- For A:B = 6:8, multiply both by 5 → A:B = 30:40
- For B:C = 5:11, multiply both by 8 → B:C = 40:88

Step 4: Combine to get A:B:C = 30:40:88

Step 5: Simplify if possible.  
- 30:40:88 can be divided by 2 → 15:20:44

Therefore, the ratio A:B:C is 15:20:44.

Hence, option 4 is correct.

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