frac{0.0203 times 2.92}{0.0073 times 14.5 tim | vedclass

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Question

(A) To solve the expression $\frac{0.0203 	imes 2.92}{0.0073 	imes 14.5 	imes 0.7}$,we first remove the decimals by multiplying the numerator and d

Vedclass · Accepted Answer

$0.8$

Vedclass · Answer

(A) To solve the expression $\frac{0.0203 	imes 2.92}{0.0073 	imes 14.5 	imes 0.7}$,we first remove the decimals by multiplying the numerator and denominator by appropriate powers of $10$.Numerator: $0.0203 	imes 2.92 = \frac{203}{10000} 	imes \frac{292}{100} = \frac{203 	imes 292}{10^6}$.Denominator: $0.0073 	imes 14.5 	imes 0.7 = \frac{73}{10000} 	imes \frac{145}{10} 	imes \frac{7}{10} = \frac{73 	imes 145 	imes 7}{10^6}$.Dividing the two,the $10^6$ terms cancel out:$\frac{203 	imes 292}{73 	imes 145 	imes 7}$.Simplifying the fractions:$203 / 7 = 29$.$292 / 73 = 4$.So,the expression becomes $\frac{29 	imes 4}{145}$.Since $145 = 29 	imes 5$,we have $\frac{29 	imes 4}{29 	imes 5} = \frac{4}{5} = 0.8$.

$\frac{0.0203 \times 2.92}{0.0073 \times 14.5 \times 0.7} = ?$

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