Math Problem Solver

\[ \frac{3}{5} - \frac{3}{53} = \frac{144}{265} = 0.5\overline{4339622641509} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{3}{5}\) and \(\frac{-3}{53}\) is \(265\). \[ \begin{aligned} \frac{3}{5} - \frac{3}{53} &= \frac{3 \cdot 53}{5 \cdot 53} + \frac{-3 \cdot 5}{53 \cdot 5} \\ &= \frac{159 + -15}{265} \\ &= \frac{144}{265} \end{aligned} \]