What is ((3+1/(2x-1)))/((5+x/(2x-1))) ?

The solution to ((3+1/(2x-1)))/((5+x/(2x-1))) is (6x-2)/(11x-5)

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simplify ((3+1/(2x-1)))/((5+x/(2x-1)))

simplify

\frac{( 3 + \frac{1}{2 x - 1} )}{( 5 + \frac{x}{2 x - 1} )}

\frac{6 x - 2}{11 x - 5}

Solution steps

\frac{3 + \frac{1}{2 x - 1}}{5 + \frac{x}{2 x - 1}}

Join

3 + \frac{1}{2 x - 1} : \frac{6 x - 2}{2 x - 1}

= \frac{\frac{6 x - 2}{2 x - 1}}{5 + \frac{x}{2 x - 1}}

Join

5 + \frac{x}{2 x - 1} : \frac{11 x - 5}{2 x - 1}

= \frac{\frac{6 x - 2}{2 x - 1}}{\frac{11 x - 5}{2 x - 1}}

Apply the fraction rule:

\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}

= \frac{( 6 x - 2 ) ( 2 x - 1 )}{( 2 x - 1 ) ( 11 x - 5 )}

Cancel the common factor:

2 x - 1

= \frac{6 x - 2}{11 x - 5}

\frac{3 d ^{2}}{5}

\frac{2 - i}{1 + 2 i}

32 + 2

- 3 x + 14 - 11 + 11 x

(3 - 8 i)^{2}

What is ((3+1/(2x-1)))/((5+x/(2x-1))) ?
The solution to ((3+1/(2x-1)))/((5+x/(2x-1))) is (6x-2)/(11x-5)