1 over 2 plus 5 over 4

asked by guest
on Sep 21, 2024 at 4:13 pm



You asked:

Evaluate the expression: \(\frac{1}{2} + \frac{5}{4}\)

MathBot Answer:

\[ \frac{1}{2} + \frac{5}{4} = \frac{7}{4} = 1.75 \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{1}{2}\) and \(\frac{5}{4}\) is \(4\). \[ \begin{aligned} \frac{1}{2} + \frac{5}{4} &= \frac{1 \cdot 2}{2 \cdot 2} + \frac{5 \cdot 1}{4 \cdot 1} \\ &= \frac{2 + 5}{4} \\ &= \frac{7}{4} \end{aligned} \]