1/-4 - 2/5

asked by guest
on Jul 06, 2024 at 5:53 am



You asked:

Evaluate the expression: \(\frac{1}{-4} - \frac{2}{5}\)

MathBot Answer:

\[ \frac{1}{-4} - \frac{2}{5} = - \frac{13}{20} = -0.65 \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{1}{-4}\) and \(\frac{-2}{5}\) is \(20\). \[ \begin{aligned} \frac{1}{-4} - \frac{2}{5} &= \frac{1 \cdot -5}{-4 \cdot -5} + \frac{-2 \cdot 4}{5 \cdot 4} \\ &= \frac{-5 + -8}{20} \\ &= \frac{-13}{20} \end{aligned} \]