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

The solution to 1/(-1-\frac{1){-1-1/3}} is -4

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

simplify

\frac{1}{- 1 - \frac{1}{- 1 - \frac{1}{3}}}

- 4

Solution steps

\frac{1}{- 1 - \frac{1}{- 1 - \frac{1}{3}}}

\frac{1}{- 1 - \frac{1}{3}} = - \frac{3}{4}

= \frac{1}{- 1 - ( - \frac{3}{4} )}

Apply rule

- (- a) = a

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

Join

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

= \frac{1}{- \frac{1}{4}}

Apply the fraction rule:

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

= - \frac{1}{\frac{1}{4}}

Apply the fraction rule:

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

\frac{1}{\frac{1}{4}} = \frac{4}{1}

= - \frac{4}{1}

Apply rule

\frac{a}{1} = a

= - 4

(1 + 4 i)^{3}

\frac{1}{x + 3}

- \frac{2}{3} (2)

5 \times 1 0^{6}