If A: B = frac{1}{2}: frac{3}{8},B: C = frac{ | vedclass

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(D) First,simplify the given ratios:$A: B = \frac{1}{2}: \frac{3}{8} = \frac{4}{8}: \frac{3}{8} = 4: 3$$B: C = \frac{1}{3}: \frac{5}{9} = \frac{3}{9}:

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$8: 6: 10: 9$

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(D) First,simplify the given ratios:$A: B = \frac{1}{2}: \frac{3}{8} = \frac{4}{8}: \frac{3}{8} = 4: 3$$B: C = \frac{1}{3}: \frac{5}{9} = \frac{3}{9}: \frac{5}{9} = 3: 5$$C: D = \frac{5}{6}: \frac{3}{4} = \frac{10}{12}: \frac{9}{12} = 10: 9$Now,we have $A: B = 4: 3$ and $B: C = 3: 5$. Since the value of $B$ is common and equal in both,we can combine them as $A: B: C = 4: 3: 5$.Next,we have $A: B: C = 4: 3: 5$ and $C: D = 10: 9$.To combine these,make the value of $C$ equal in both ratios. Multiply $A: B: C$ by $2$ to make $C = 10$:$A: B: C = (4 	imes 2): (3 	imes 2): (5 	imes 2) = 8: 6: 10$.Now,combining with $C: D = 10: 9$,we get $A: B: C: D = 8: 6: 10: 9$.

If $A: B = \frac{1}{2}: \frac{3}{8}$,$B: C = \frac{1}{3}: \frac{5}{9}$ and $C: D = \frac{5}{6}: \frac{3}{4}$,then the ratio $A: B: C: D$ is

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