What is 1/(3(-\frac{1){3x})} ?

The solution to 1/(3(-\frac{1){3x})} is -x

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simplify 1/(3(-\frac{1){3x})}

simplify

\frac{1}{3 ( - \frac{1}{3 x} )}

- x

Solution steps

\frac{1}{3 ( - \frac{1}{3 x} )}

Remove parentheses:

(- a) = - a

= \frac{1}{- 3 \cdot \frac{1}{3 x}}

Apply the fraction rule:

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

= - \frac{1}{3 \cdot \frac{1}{3 x}}

Multiply

3 \cdot \frac{1}{3 x} : \frac{1}{x}

= - \frac{1}{\frac{1}{x}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= - \frac{x}{1}

Apply rule

\frac{a}{1} = a

= - x

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