What is (12k^2-54k)/(6k)*6/(81-18k) ?

The solution to (12k^2-54k)/(6k)*6/(81-18k) is -2/3

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simplify (12k^2-54k)/(6k)*6/(81-18k)

simplify

\frac{12 k ^{2} - 54 k}{6 k} \cdot \frac{6}{81 - 18 k}

- \frac{2}{3}

Decimal Notation

- 0.66666 \dots

Solution steps

\frac{12 k ^{2} - 54 k}{6 k} \cdot \frac{6}{81 - 18 k}

Cancel

\frac{12 k ^{2} - 54 k}{6 k} : 2 k - 9

= (2 k - 9) \frac{6}{81 - 18 k}

Cancel

\frac{6}{81 - 18 k} : \frac{2}{3 ( 9 - 2 k )}

= (2 k - 9) \frac{2}{3 ( 9 - 2 k )}

Apply the fraction rule:

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

= \frac{( 2 k - 9 ) \cdot 2}{3 ( 9 - 2 k )}

3 (9 - 2 k) = - 3 (2 k - 9)

= \frac{( 2 k - 9 ) \cdot 2}{- 3 ( 2 k - 9 )}

Cancel the common factor:

2 k - 9

= \frac{2}{- 3}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{2}{3}

a^{2} + 3 a - 18 = 0

2 x - 3 \leq 4 x + 3 < 2 x + 5

2 X^{2} - 72 = 0

\frac{7 !}{5 ! ( 2 ! )}

\frac{x}{x + 1} < 5

What is (12k^2-54k)/(6k)*6/(81-18k) ?
The solution to (12k^2-54k)/(6k)*6/(81-18k) is -2/3