Jack and Jill were picking weeds in the garden. Jack picked \(\frac{\mathrm{1} }{\mathrm{3}}\) of the weeds, and Jill picked \(\frac{\mathrm{1} }{\mathrm{5}}\) of them. What fraction of the weeds did they pick together?

This problem requires you to add two fractions without a calculator. The least common denominator is 15. The fraction \(\frac{\mathrm{1} }{\mathrm{5}}=\frac{\mathrm{3} }{\mathrm{15}}\) and \(\frac{\mathrm{1} }{\mathrm{3}}=\frac{\mathrm{5} }{\mathrm{15}}\) . Then \(\frac{\mathrm{3} }{\mathrm{15}}+\frac{\mathrm{5} }{\mathrm{15}}=\frac{\mathrm{8} }{\mathrm{15}}\)