-5-22/5-6/5

asked by guest
on Oct 22, 2024 at 8:43 am



You asked:

Evaluate the expression: \(-5 - \frac{22}{5} - \frac{6}{5}\)

MathBot Answer:

\[ -5 - \frac{22}{5} - \frac{6}{5} = - \frac{53}{5} = -10.6 \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{-5}{1}\), \(\frac{-22}{5}\), and \(\frac{-6}{5}\) is \(5\). \[ \begin{aligned} -5 - \frac{22}{5} - \frac{6}{5} &= \frac{-5 \cdot 5}{1 \cdot 5} + \frac{-22 \cdot 1}{5 \cdot 1} + \frac{-6 \cdot 1}{5 \cdot 1} \\ &= \frac{-25 + -22 + -6}{5} \\ &= \frac{-53}{5} \end{aligned} \]