Select the correct answerIf A: B = 3:4, B:C=4:5, C:D=5:6 then A:D=Options1:21:34:52:33:5
Question
Select the correct answerIf A: B = 3:4, B:C=4:5, C:D=5:6 then A:D=Options1:21:34:52:33:5
Solution
To solve this problem, we need to find the ratio of A to D. We can do this by multiplying the ratios together.
First, let's write down the given ratios:
A:B = 3:4 B:C = 4:5 C:D = 5:6
To find the ratio A:D, we multiply these ratios together.
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.
So, A:D = (A:B) * (B:C) * (C:D) = (3:4) * (4:5) * (5:6) = (345 : 456) = (60 : 120)
We can simplify this ratio by dividing both terms by their greatest common divisor, which is 60.
So, A:D = 60/60 : 120/60 = 1:2
Therefore, the correct answer is 1:2.
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