If x+frac{2}{3+frac{4}{5+frac{7}{6}}}=10,then | vedclass

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Question

(A) Given the equation: $x+\frac{2}{3+\frac{4}{5+\frac{7}{6}}}=10$First,simplify the innermost fraction: $5+\frac{7}{6} = \frac{30+7}{6} = \frac{37}{6

Vedclass · Accepted Answer

$\frac{1276}{135}$

Vedclass · Answer

(A) Given the equation: $x+\frac{2}{3+\frac{4}{5+\frac{7}{6}}}=10$First,simplify the innermost fraction: $5+\frac{7}{6} = \frac{30+7}{6} = \frac{37}{6}$Substitute this back into the expression: $x+\frac{2}{3+\frac{4}{\frac{37}{6}}} = 10$Simplify the complex fraction: $x+\frac{2}{3+\frac{4 	imes 6}{37}} = 10$$x+\frac{2}{3+\frac{24}{37}} = 10$Simplify the denominator: $3+\frac{24}{37} = \frac{111+24}{37} = \frac{135}{37}$Substitute back: $x+\frac{2}{\frac{135}{37}} = 10$$x+\frac{2 	imes 37}{135} = 10$$x+\frac{74}{135} = 10$Solve for $x$: $x = 10 - \frac{74}{135}$$x = \frac{1350 - 74}{135} = \frac{1276}{135}$

If $x+\frac{2}{3+\frac{4}{5+\frac{7}{6}}}=10$,then the value of $x$ is

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