59/8-5/2

asked by guest
on Sep 22, 2024 at 1:32 pm



You asked:

Evaluate the expression: \(\frac{59}{8} - \frac{5}{2}\)

MathBot Answer:

\[ \frac{59}{8} - \frac{5}{2} = \frac{39}{8} = 4.875 \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{59}{8}\) and \(\frac{-5}{2}\) is \(8\). \[ \begin{aligned} \frac{59}{8} - \frac{5}{2} &= \frac{59 \cdot 1}{8 \cdot 1} + \frac{-5 \cdot 4}{2 \cdot 4} \\ &= \frac{59 + -20}{8} \\ &= \frac{39}{8} \end{aligned} \]