If A:B = 6 : 8 and B:C = 7 : 12, then find the ratio A:B:C.

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Accepted Answer

Given ratios are A:B = 6:8 and B:C = 7:12.

Step 1: Make the B terms equal in both ratios to combine them.
- A:B = 6:8 can be written as 6:8
- B:C = 7:12

Step 2: Find LCM of B terms (8 and 7) = 56

Step 3: Adjust ratios to have B = 56
- For A:B, multiply both terms by 7: (6*7):(8*7) = 42:56
- For B:C, multiply both terms by 8: (7*8):(12*8) = 56:96

Step 4: Now combine A:B:C as 42:56:96

Step 5: Simplify the ratio by dividing all terms by 2:
42 ÷ 2 = 21
56 ÷ 2 = 28
96 ÷ 2 = 48

So, A:B:C = 21:28:48.

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