If A : B : C = 2 : 3 : 4, then frac{A}{B} : f | vedclass

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(D) Given the ratio $A : B : C = 2 : 3 : 4.$We need to find the value of $\frac{A}{B} : \frac{B}{C} : \frac{C}{A}.$Substituting the values $A = 2, B =

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$8 : 9 : 24$

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(D) Given the ratio $A : B : C = 2 : 3 : 4.$We need to find the value of $\frac{A}{B} : \frac{B}{C} : \frac{C}{A}.$Substituting the values $A = 2, B = 3,$ and $C = 4$ into the expression:$\frac{A}{B} : \frac{B}{C} : \frac{C}{A} = \frac{2}{3} : \frac{3}{4} : \frac{4}{2}.$Simplify the last term:$\frac{4}{2} = 2.$So,the ratio becomes $\frac{2}{3} : \frac{3}{4} : 2.$To eliminate the denominators,multiply each term by the least common multiple $(LCM)$ of $3$ and $4,$ which is $12$:$\left(\frac{2}{3} 	imes 12ight) : \left(\frac{3}{4} 	imes 12ight) : (2 	imes 12) = 8 : 9 : 24.$Thus,the correct ratio is $8 : 9 : 24.$

If $A : B : C = 2 : 3 : 4,$ then $\frac{A}{B} : \frac{B}{C} : \frac{C}{A}$ is equal to

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