125/8 - 9/4

asked by guest
on Jan 14, 2025 at 3:46 am



You asked:

Evaluate the expression: \(\frac{125}{8} - \frac{9}{4}\)

MathBot Answer:

\[ \frac{125}{8} - \frac{9}{4} = \frac{107}{8} = 13.375 \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{125}{8}\) and \(\frac{-9}{4}\) is \(8\). \[ \begin{aligned} \frac{125}{8} - \frac{9}{4} &= \frac{125 \cdot 1}{8 \cdot 1} + \frac{-9 \cdot 2}{4 \cdot 2} \\ &= \frac{125 + -18}{8} \\ &= \frac{107}{8} \end{aligned} \]