left(frac{24}{9}right)^{2} times frac{399}{39 | vedclass

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Question

(A) Given expression: $? = \left(\frac{24}{9}ight)^{2} 	imes \frac{399}{39} \div \frac{41}{899}$Step $1$: Simplify the fraction $\frac{24}{9}$ to $

Vedclass · Accepted Answer

$1600$

Vedclass · Answer

(A) Given expression: $? = \left(\frac{24}{9}ight)^{2} 	imes \frac{399}{39} \div \frac{41}{899}$Step $1$: Simplify the fraction $\frac{24}{9}$ to $\frac{8}{3}$.Step $2$: Calculate the square: $\left(\frac{8}{3}ight)^{2} = \frac{64}{9}$.Step $3$: Simplify $\frac{399}{39} \approx 10.23$ and $\frac{41}{899} \approx 0.0456$.Step $4$: Convert division to multiplication: $? = \frac{64}{9} 	imes \frac{399}{39} 	imes \frac{899}{41}$.Step $5$: Calculate the values: $\frac{64}{9} \approx 7.111$,$\frac{399}{39} \approx 10.2307$,$\frac{899}{41} \approx 21.9268$.Step $6$: Multiply these values: $7.111 	imes 10.2307 	imes 21.9268 \approx 1594.36$.Rounding to the nearest option,the value is approximately $1600$.

$\left(\frac{24}{9}\right)^{2} \times \frac{399}{39} \div \frac{41}{899} = ?$

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