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$Simplify each complex fraction. ((3)/(4x)+(1)/(x))/((2)/(x)-(1)/(6x))$

Simplify each complex fraction. $\left(\frac{3}{4x}+\frac{1}{x}\right)/\left(\frac{2}{x}-\frac{1}{6x}\right)$

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Algebra 1

Multiplication with rational exponents

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Q. Simplify each complex fraction.

\left(\frac{3}{4x}+\frac{1}{x}\right)/\left(\frac{2}{x}-\frac{1}{6x}\right)

Find Common Denominator: Combine the terms in the numerator by finding a common denominator, which is $4x$ . $\newline$ $\left(\frac{3}{4x}\right) + \left(\frac{1}{x}\right) = \left(\frac{3 + 4}{4x}\right) = \frac{7}{4x}$

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Simplify each complex fraction. (34x+1x)/(2x−16x)\left(\frac{3}{4x}+\frac{1}{x}\right)/\left(\frac{2}{x}-\frac{1}{6x}\right)(4x3​+x1​)/(x2​−6x1​)

Simplify each complex fraction. $\left(\frac{3}{4x}+\frac{1}{x}\right)/\left(\frac{2}{x}-\frac{1}{6x}\right)$