Add the extra mass to Jelilah's bag mass by converting to a common denominator.<br><br>
&bull; \(2\frac{1}{4} = \frac{9}{4}\) and \(1\frac{7}{10} = \frac{17}{10}\)<br>
&bull; LCM of 4 and 10 is 20.<br>
&bull; \(\frac{9}{4} = \frac{45}{20}\) and \(\frac{17}{10} = \frac{34}{20}\)<br>
&bull; \(\frac{45}{20} + \frac{34}{20} = \frac{79}{20}\)<br>
&bull; Convert to mixed number: \(\frac{79}{20} = 3\frac{19}{20}\)<br><br>
Susie's bag has a mass of \(3\frac{19}{20}\) kg.<br>
Check: \(3\frac{19}{20} - 1\frac{7}{10} = 3\frac{19}{20} - 1\frac{14}{20} = 2\frac{5}{20} = 2\frac{1}{4}\). ✓