Math Problem Solver

\[ 25.78 = \frac{1289}{50} = 25.78 \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{25}{1}\) and \(\frac{78}{100}\) is \(100\). \[ \begin{aligned} 25.78 &= \frac{25 \cdot 100}{1 \cdot 100} + \frac{78 \cdot 1}{100 \cdot 1} \\ &= \frac{2500 + 78}{100} \\ &= \frac{2578}{100} \\&= \frac{1289}{50} \end{aligned} \]