19/8 - 17/4

asked by guest
on Sep 20, 2024 at 11:45 am



You asked:

Evaluate the expression: \(\frac{19}{8} - \frac{17}{4}\)

MathBot Answer:

\[ \frac{19}{8} - \frac{17}{4} = - \frac{15}{8} = -1.875 \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{19}{8}\) and \(\frac{-17}{4}\) is \(8\). \[ \begin{aligned} \frac{19}{8} - \frac{17}{4} &= \frac{19 \cdot 1}{8 \cdot 1} + \frac{-17 \cdot 2}{4 \cdot 2} \\ &= \frac{19 + -34}{8} \\ &= \frac{-15}{8} \end{aligned} \]