What is (4/(3r-1)-4)/(4/(3r-1)+4) ?

The solution to (4/(3r-1)-4)/(4/(3r-1)+4) is (-3r+2)/(3r)

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simplify (4/(3r-1)-4)/(4/(3r-1)+4)

simplify

\frac{\frac{4}{3 r - 1} - 4}{\frac{4}{3 r - 1} + 4}

\frac{- 3 r + 2}{3 r}

Solution steps

\frac{\frac{4}{3 r - 1} - 4}{\frac{4}{3 r - 1} + 4}

Join

\frac{4}{3 r - 1} - 4 : \frac{- 12 r + 8}{3 r - 1}

= \frac{\frac{- 12 r + 8}{3 r - 1}}{\frac{4}{3 r - 1} + 4}

Join

\frac{4}{3 r - 1} + 4 : \frac{12 r}{3 r - 1}

= \frac{\frac{- 12 r + 8}{3 r - 1}}{\frac{12 r}{3 r - 1}}

Apply the fraction rule:

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

= \frac{( - 12 r + 8 ) ( 3 r - 1 )}{( 3 r - 1 ) \cdot 12 r}

Cancel

\frac{( - 12 r + 8 ) ( 3 r - 1 )}{( 3 r - 1 ) \cdot 12 r} : \frac{- 3 r + 2}{3 r}

= \frac{- 3 r + 2}{3 r}

(s - 3)^{3}

(x - \frac{7}{2})^{2}

\frac{60}{360}

- x^{2} - 4 x - 3

- 4 x^{4} - 8 x^{3}

What is (4/(3r-1)-4)/(4/(3r-1)+4) ?
The solution to (4/(3r-1)-4)/(4/(3r-1)+4) is (-3r+2)/(3r)