11 frac{1}{3} times 4 frac{8}{10} div ? = 22 | vedclass

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Question

(A) Let the missing value be $x$.The given equation is: $11 \frac{1}{3} 	imes 4 \frac{8}{10} \div x = 22 \frac{2}{3}$Convert the mixed fractions into

Vedclass · Accepted Answer

$2.4$

Vedclass · Answer

(A) Let the missing value be $x$.The given equation is: $11 \frac{1}{3} 	imes 4 \frac{8}{10} \div x = 22 \frac{2}{3}$Convert the mixed fractions into improper fractions:$11 \frac{1}{3} = \frac{34}{3}$$4 \frac{8}{10} = \frac{48}{10} = \frac{24}{5}$$22 \frac{2}{3} = \frac{68}{3}$Substitute these values into the equation:$\frac{34}{3} 	imes \frac{24}{5} \div x = \frac{68}{3}$$\frac{34}{3} 	imes \frac{24}{5} 	imes \frac{1}{x} = \frac{68}{3}$$\frac{34 	imes 8}{5} 	imes \frac{1}{x} = \frac{68}{3}$$\frac{272}{5x} = \frac{68}{3}$Cross-multiply to solve for $x$:$68 	imes 5x = 272 	imes 3$$340x = 816$$x = \frac{816}{340} = 2.4$

$11 \frac{1}{3} \times 4 \frac{8}{10} \div ? = 22 \frac{2}{3}$

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