-5/4 + 15/2

asked by guest
on Nov 18, 2024 at 4:24 pm



You asked:

Evaluate the expression: \(\frac{-5}{4} + \frac{15}{2}\)

MathBot Answer:

\[ \frac{-5}{4} + \frac{15}{2} = \frac{25}{4} = 6.25 \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{-5}{4}\) and \(\frac{15}{2}\) is \(4\). \[ \begin{aligned} \frac{-5}{4} + \frac{15}{2} &= \frac{-5 \cdot 1}{4 \cdot 1} + \frac{15 \cdot 2}{2 \cdot 2} \\ &= \frac{-5 + 30}{4} \\ &= \frac{25}{4} \end{aligned} \]