What is 1-1/(2+\frac{1){x/3-1}} ?

The solution to 1-1/(2+\frac{1){x/3-1}} is 1-(-3+x)/(2x-3)

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simplify 1-1/(2+\frac{1){x/3-1}}

simplify

1 - \frac{1}{2 + \frac{1}{\frac{x}{3} - 1}}

1 - \frac{- 3 + x}{2 x - 3}

Solution steps

1 - \frac{1}{2 + \frac{1}{\frac{x}{3} - 1}}

Simplify

2 + \frac{1}{\frac{x}{3} - 1} : \frac{2 x - 3}{- 3 + x}

= 1 - \frac{1}{\frac{2 x - 3}{- 3 + x}}

Apply the fraction rule:

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

\frac{1}{\frac{2 x - 3}{- 3 + x}} = \frac{- 3 + x}{2 x - 3}

= 1 - \frac{- 3 + x}{2 x - 3}

+ z^{2} + 6 z - 27

2 x + 34 x + 1

\frac{4}{6} + \frac{3}{5}

\frac{2}{5} \times \frac{7}{3}

- 121

What is 1-1/(2+\frac{1){x/3-1}} ?
The solution to 1-1/(2+\frac{1){x/3-1}} is 1-(-3+x)/(2x-3)