(-8/20)+(-2/57)

asked by guest
on Oct 22, 2024 at 3:34 am



You asked:

Evaluate the expression: \(\frac{-8}{20} + \frac{-2}{57}\)

MathBot Answer:

\[ \frac{-8}{20} + \frac{-2}{57} = - \frac{124}{285} = -0.4\overline{350877192982456140} \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{-8}{20}\) and \(\frac{-2}{57}\) is \(1140\). \[ \begin{aligned} \frac{-8}{20} + \frac{-2}{57} &= \frac{-8 \cdot 57}{20 \cdot 57} + \frac{-2 \cdot 20}{57 \cdot 20} \\ &= \frac{-456 + -40}{1140} \\ &= \frac{-496}{1140} \\&= - \frac{124}{285} \end{aligned} \]