\(\frac{1}{2} + \frac{1}{3} = \)

\(\begin{array}{l}\frac{1}{2} + \frac{1}{3} = \frac{3}{6} + \frac{2}{6}\\ = \frac{5}{6}\end{array}\)

\(\begin{array}{l}\frac{2}{5} + \frac{3}{4} = \frac{8}{{20}} + \frac{{15}}{{20}}\\ = \frac{{23}}{{20}}\end{array}\)

\(\begin{array}{l}\frac{1}{6} + \frac{2}{9} = \frac{3}{{18}} + \frac{4}{{18}}\\ = \frac{7}{{18}}\end{array}\)

\[\begin{array}{l}\frac{3}{8} + \frac{1}{4} = \frac{3}{8} + \frac{2}{8}\\ = \frac{5}{8}\end{array}\]

\(\begin{array}{l}\frac{5}{{12}} + \frac{7}{{18}} = \frac{{15}}{{36}} + \frac{{14}}{{36}}\\ = \frac{{29}}{{36}}\end{array}\)

\(\begin{array}{l}\frac{2}{3} + \frac{4}{5} = \frac{{10}}{{15}} + \frac{{12}}{{15}}\\ = \frac{{22}}{{15}}\end{array}\)

\(\begin{array}{l}\frac{1}{{10}} + \frac{3}{{25}} = \frac{5}{{50}} + \frac{6}{{50}}\\ = \frac{{11}}{{50}}\end{array}\)

\(\begin{array}{l}\frac{4}{7} + \frac{5}{{14}} = \frac{8}{{14}} + \frac{5}{{14}}\\ = \frac{{13}}{{14}}\end{array}\)

\(\begin{array}{l}\frac{3}{{16}} + \frac{5}{{24}} = \frac{9}{{48}} + \frac{{10}}{{48}}\\ = \frac{{19}}{{48}}\end{array}\)

\(\begin{array}{l}\frac{7}{{15}} + \frac{2}{9} = \frac{{21}}{{45}} + \frac{{10}}{{45}}\\ = \frac{{31}}{{45}}\end{array}\)

\(\begin{array}{l}\frac{1}{5} + \frac{3}{7} = \frac{7}{{35}} + \frac{{15}}{{35}}\\ = \frac{{22}}{{35}}\end{array}\)

\(\begin{array}{l}\frac{2}{3} + \frac{1}{8} = \frac{{16}}{{24}} + \frac{3}{{24}}\\ = \frac{{19}}{{24}}\end{array}\)

\(\begin{array}{l}\frac{4}{9} + \frac{1}{{12}} = \frac{{16}}{{36}} + \frac{3}{{36}}\\ = \frac{{19}}{{36}}\end{array}\)

\(\begin{array}{l}\frac{3}{{10}} + \frac{2}{7} = \frac{{21}}{{70}} + \frac{{20}}{{70}}\\ = \frac{{41}}{{70}}\end{array}\)

\(\begin{array}{l}\frac{5}{6} + \frac{1}{4} = \frac{{10}}{{12}} + \frac{3}{{12}}\\ = \frac{{13}}{{12}}\end{array}\)

\(\begin{array}{l}\frac{1}{7} + \frac{2}{{11}} = \frac{{11}}{{77}} + \frac{{14}}{{77}}\\ = \frac{{25}}{{77}}\end{array}\)

\(\begin{array}{l}\frac{3}{4} + \frac{5}{9} = \frac{{27}}{{36}} + \frac{{20}}{{36}}\\ = \frac{{47}}{{36}}\end{array}\)

\[\begin{array}{l}\frac{2}{5} + \frac{4}{{13}} = \frac{{26}}{{65}} + \frac{{20}}{{65}}\\ = \frac{{46}}{{65}}\end{array}\]

\(\begin{array}{l}\frac{1}{3} + \frac{5}{8} = \frac{8}{{24}} + \frac{{15}}{{24}}\\ = \frac{{23}}{{24}}\end{array}\)

\(\begin{array}{l}\frac{7}{{10}} + \frac{1}{5} = \frac{7}{{10}} + \frac{2}{{10}}\\ = \frac{9}{{10}}\end{array}\)

\(\begin{array}{l}\frac{2}{7} + \frac{3}{{14}} = \frac{4}{{14}} + \frac{3}{{14}}\\ = \frac{7}{{14}} = \frac{1}{2}\end{array}\)

\(\begin{array}{l}\frac{4}{{11}} + \frac{2}{9} = \frac{{36}}{{99}} + \frac{{22}}{{99}}\\ = \frac{{58}}{{99}}\end{array}\)

\(\begin{array}{l}\frac{3}{5} + \frac{1}{{15}} = \frac{9}{{15}} + \frac{1}{{15}}\\ = \frac{{10}}{{15}} = \frac{2}{3}\end{array}\)

\(\begin{array}{l}\frac{5}{{12}} + \frac{1}{{10}} = \frac{{25}}{{60}} + \frac{6}{{60}}\\ = \frac{{31}}{{60}}\end{array}\)

\(\begin{array}{l}\frac{2}{{13}} + \frac{3}{5} = \frac{{10}}{{65}} + \frac{{39}}{{65}}\\ = \frac{{49}}{{65}}\end{array}\)

\(\begin{array}{l}\frac{1}{9} + \frac{4}{{15}} = \frac{5}{{45}} + \frac{{12}}{{45}}\\ = \frac{{17}}{{45}}\end{array}\)

\(\begin{array}{l}\frac{6}{7} + \frac{2}{{21}} = \frac{{18}}{{21}} + \frac{2}{{21}}\\ = \frac{{20}}{{21}}\end{array}\)

\(\begin{array}{l}\frac{3}{8} + \frac{1}{{16}} = \frac{6}{{16}} + \frac{1}{{16}}\\ = \frac{7}{{16}}\end{array}\)

\(\begin{array}{l}\frac{4}{5} + \frac{3}{{20}} = \frac{{16}}{{20}} + \frac{3}{{20}}\\ = \frac{{19}}{{20}}\end{array}\)

\(\begin{array}{l}\frac{1}{6} + \frac{4}{7} = \frac{7}{{42}} + \frac{{24}}{{42}}\\ = \frac{{31}}{{42}}\end{array}\)

\(\begin{array}{l}\frac{5}{{11}} + \frac{2}{{33}} = \frac{{15}}{{33}} + \frac{2}{{33}}\\ = \frac{{17}}{{33}}\end{array}\)

\(\begin{array}{l}\frac{3}{{13}} + \frac{1}{{26}} = \frac{6}{{26}} + \frac{1}{{26}}\\ = \frac{7}{{26}}\end{array}\)

\(\begin{array}{l}\frac{2}{9} + \frac{5}{{12}} = \frac{8}{{36}} + \frac{{15}}{{36}}\\ = \frac{{23}}{{36}}\end{array}\)

\(\begin{array}{l}\frac{1}{{14}} + \frac{3}{7} = \frac{1}{{14}} + \frac{6}{{14}}\\ = \frac{7}{{14}} = \frac{1}{2}\end{array}\)

\(\begin{array}{l}\frac{4}{{15}} + \frac{1}{{25}} = \frac{{20}}{{75}} + \frac{3}{{75}}\\ = \frac{{23}}{{75}}\end{array}\)

\(\begin{array}{l}\frac{2}{3} + \frac{7}{{12}} = \frac{8}{{12}} + \frac{7}{{12}}\\ = \frac{{15}}{{12}} = \frac{5}{4}\end{array}\)