Add the two distances by converting to improper fractions with a common denominator.<br><br>
&bull; \(1\frac{1}{2} = \frac{3}{2}\) and \(2\frac{3}{5} = \frac{13}{5}\)<br>
&bull; LCM of 2 and 5 is 10.<br>
&bull; \(\frac{3}{2} = \frac{15}{10}\) and \(\frac{13}{5} = \frac{26}{10}\)<br>
&bull; \(\frac{15}{10} + \frac{26}{10} = \frac{41}{10}\)<br>
&bull; Convert to mixed number: \(\frac{41}{10} = 4\frac{1}{10}\)<br><br>
Lewis jogged \(4\frac{1}{10}\) km over the two days.<br>
Check: \(4\frac{1}{10} - 2\frac{3}{5} = 4\frac{1}{10} - 2\frac{6}{10} = 3\frac{11}{10} - 2\frac{6}{10} = 1\frac{5}{10} = 1\frac{1}{2}\). ✓