1-(1/27 + 5/27 + 10/27 + 13/27)

asked by guest
on Sep 19, 2024 at 11:19 pm



You asked:

Evaluate the expression: \(1 - \left(\frac{1}{27} + \frac{5}{27} + \frac{10}{27} + \frac{13}{27}\right)\)

MathBot Answer:

\[1 - \left(\frac{1}{27} + \frac{5}{27} + \frac{10}{27} + \frac{13}{27}\right) = - \frac{2}{27} = -0.\overline{074}\]

\[\begin{aligned}1 - \left(\frac{1}{27} + \frac{5}{27} + \frac{10}{27} + \frac{13}{27}\right)& = 1 - \left(\frac{2}{9} + \frac{10}{27} + \frac{13}{27}\right)\\& = 1 - \left(\frac{16}{27} + \frac{13}{27}\right)\\& = 1 - \frac{29}{27}\\& = - \frac{2}{27}\end{aligned}\]

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