If a:b = frac{2}{9} : frac{1}{3},b:c = frac{2 | vedclass

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(B) First,simplify the given ratios:$a:b = \frac{2}{9} : \frac{1}{3} = \frac{2}{9} : \frac{3}{9} = 2:3$$b:c = \frac{2}{7} : \frac{5}{14} = \frac{4}{14

Vedclass · Accepted Answer

$16:24:30:35$

Vedclass · Answer

(B) First,simplify the given ratios:$a:b = \frac{2}{9} : \frac{1}{3} = \frac{2}{9} : \frac{3}{9} = 2:3$$b:c = \frac{2}{7} : \frac{5}{14} = \frac{4}{14} : \frac{5}{14} = 4:5$$d:c = \frac{7}{10} : \frac{3}{5} = \frac{7}{10} : \frac{6}{10} = 7:6$,which implies $c:d = 6:7$Now,to find $a:b:c:d$,we equate the common terms:$a:b = 2:3 = (2 	imes 4) : (3 	imes 4) = 8:12$$b:c = 4:5 = (4 	imes 3) : (5 	imes 3) = 12:15$So,$a:b:c = 8:12:15$Now,combine with $c:d = 6:7$:$a:b:c = 8:12:15 = (8 	imes 2) : (12 	imes 2) : (15 	imes 2) = 16:24:30$$c:d = 6:7 = (6 	imes 5) : (7 	imes 5) = 30:35$Therefore,$a:b:c:d = 16:24:30:35$.

If $a:b = \frac{2}{9} : \frac{1}{3}$,$b:c = \frac{2}{7} : \frac{5}{14}$,and $d:c = \frac{7}{10} : \frac{3}{5}$,then find $a:b:c:d$.

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