(-8/19)+(-2/57)

asked by guest
on Oct 22, 2024 at 3:36 am



You asked:

Evaluate the expression: \(\frac{-8}{19} + \frac{-2}{57}\)

MathBot Answer:

\[ \frac{-8}{19} + \frac{-2}{57} = - \frac{26}{57} = -0.\overline{456140350877192982} \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{-8}{19}\) and \(\frac{-2}{57}\) is \(57\). \[ \begin{aligned} \frac{-8}{19} + \frac{-2}{57} &= \frac{-8 \cdot 3}{19 \cdot 3} + \frac{-2 \cdot 1}{57 \cdot 1} \\ &= \frac{-24 + -2}{57} \\ &= \frac{-26}{57} \end{aligned} \]