What is (9/(27x-9))/(1/((12x-4))) ?

The solution to (9/(27x-9))/(1/((12x-4))) is 4

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simplify (9/(27x-9))/(1/((12x-4)))

simplify

\frac{\frac{9}{27 x - 9}}{\frac{1}{( 12 x - 4 )}}

4

Solution steps

\frac{\frac{9}{27 x - 9}}{\frac{1}{12 x - 4}}

Apply the fraction rule:

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

= \frac{9 ( 12 x - 4 )}{( 27 x - 9 ) \cdot 1}

Apply rule:

a \cdot 1 = a

= \frac{9 ( 12 x - 4 )}{27 x - 9}

Cancel

\frac{9 ( 12 x - 4 )}{27 x - 9} : 4

= 4

x^{2} x^{5}

(- 3 x^{2} + 2 x - 4) + (4 x^{2} + 5 x + 9)

\frac{y - 3}{( y - 5 ) ^{2}} - \frac{y - 2}{y ^{2} - 4 y - 5}

\frac{5}{4 x + 8} - \frac{- 5}{- 3 x - 5}

\frac{3}{2} - \frac{4}{5}

What is (9/(27x-9))/(1/((12x-4))) ?
The solution to (9/(27x-9))/(1/((12x-4))) is 4