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Select the correct answerIf A: B = 3:4, B:C=4:5, C:D=5:6 then A:D=Options1:32:34:53:51:2

Question

Select the correct answerIf A: B = 3:4, B:C=4:5, C:D=5:6 then A:D=Options1:32:34:53:51:2

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Solution

To solve this problem, we need to find the ratio of A to D.

Step 1: We know that A:B = 3:4, B:C = 4:5, and C:D = 5:6.

Step 2: To find A:D, we need to multiply these ratios together.

Step 3: When we multiply ratios, we multiply the first terms together to get the first term of the new ratio, and the second terms together to get the second term of the new ratio.

Step 4: So, A:D = (A:B) * (B:C) * (C:D) = (3:4) * (4:5) * (5:6) = (345 : 456) = (60 : 120)

Step 5: Simplify the ratio 60:120 to its lowest terms by dividing both numbers by their greatest common divisor, which is 60.

So, A:D = 60/60 : 120/60 = 1:2

Therefore, the correct answer is 1:2.

This problem has been solved

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