3+[5/-9]+[-5/-3]
You asked:
Evaluate the expression: \(3 + \frac{5}{-9} + \frac{-5}{-3}\)
MathBot Answer:
\[ 3 + \frac{5}{-9} + \frac{-5}{-3} = \frac{37}{9} = 4.\overline{1} \]
The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{3}{1}\), \(\frac{5}{-9}\), and \(\frac{-5}{-3}\) is \(9\). \[ \begin{aligned} 3 + \frac{5}{-9} + \frac{-5}{-3} &= \frac{3 \cdot 9}{1 \cdot 9} + \frac{5 \cdot -1}{-9 \cdot -1} + \frac{-5 \cdot -3}{-3 \cdot -3} \\ &= \frac{27 + -5 + 15}{9} \\ &= \frac{37}{9} \end{aligned} \]