-38/5-43/10

asked by guest
on Oct 24, 2024 at 6:36 pm



You asked:

Evaluate the expression: \(\frac{-38}{5} - \frac{43}{10}\)

MathBot Answer:

\[ \frac{-38}{5} - \frac{43}{10} = - \frac{119}{10} = -11.9 \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{-38}{5}\) and \(\frac{-43}{10}\) is \(10\). \[ \begin{aligned} \frac{-38}{5} - \frac{43}{10} &= \frac{-38 \cdot 2}{5 \cdot 2} + \frac{-43 \cdot 1}{10 \cdot 1} \\ &= \frac{-76 + -43}{10} \\ &= \frac{-119}{10} \end{aligned} \]