4/9-1-2

asked by guest
on Sep 21, 2024 at 9:59 am



You asked:

Evaluate the expression: \(\frac{4}{9} - 1 - 2\)

MathBot Answer:

\[ \frac{4}{9} - 1 - 2 = - \frac{23}{9} = -2.\overline{5} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{4}{9}\), \(\frac{-1}{1}\), and \(\frac{-2}{1}\) is \(9\). \[ \begin{aligned} \frac{4}{9} - 1 - 2 &= \frac{4 \cdot 1}{9 \cdot 1} + \frac{-1 \cdot 9}{1 \cdot 9} + \frac{-2 \cdot 9}{1 \cdot 9} \\ &= \frac{4 + -9 + -18}{9} \\ &= \frac{-23}{9} \end{aligned} \]


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