Bài tập Toán lớp 5 Phép cộng phân số khác mẫu số có đáp án

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

\(\begin{array}{l}\frac{1}{3} + \frac{2}{7} = \frac{7}{{21}} + \frac{6}{{21}}\\ = \frac{{13}}{{21}}\end{array}\)

\(\begin{array}{l}\frac{3}{5} + \frac{1}{{11}} = \frac{{33}}{{55}} + \frac{5}{{55}}\\ = \frac{{38}}{{55}}\end{array}\)

\(\begin{array}{l}\frac{2}{9} + \frac{1}{4} = \frac{8}{{36}} + \frac{9}{{36}}\\ = \frac{{17}}{{36}}\end{array}\)

\[\begin{array}{l}\frac{4}{7} + \frac{3}{8} = \frac{{32}}{{36}} + \frac{{21}}{{36}}\\ = \frac{{53}}{{36}}\end{array}\]

\(\begin{array}{l}\frac{1}{{10}} + \frac{2}{3} = \frac{3}{{30}} + \frac{{20}}{{30}}\\ = \frac{{23}}{{30}}\end{array}\)

\(\begin{array}{l}\frac{5}{6} + \frac{1}{{13}} = \frac{{65}}{{78}} + \frac{6}{{78}}\\ = \frac{{71}}{{78}}\end{array}\)

\(\begin{array}{l}\frac{2}{5} + \frac{3}{{17}} = \frac{{34}}{{85}} + \frac{{15}}{{85}}\\ = \frac{{49}}{{85}}\end{array}\)

\(\begin{array}{l}\frac{1}{{12}} + \frac{4}{5} = \frac{5}{{60}} + \frac{{48}}{{60}}\\ = \frac{{53}}{{60}}\end{array}\)

\(\begin{array}{l}\frac{3}{{11}} + \frac{2}{9} = \frac{{27}}{{99}} + \frac{{22}}{{99}}\\ = \frac{{49}}{{99}}\end{array}\)

\(\begin{array}{l}\frac{1}{4} + \frac{5}{7} = \frac{7}{{28}} + \frac{{20}}{{28}}\\ = \frac{{27}}{{28}}\end{array}\)

\(\begin{array}{l}\frac{2}{{13}} + \frac{1}{6} = \frac{{12}}{{78}} + \frac{{13}}{{78}}\\ = \frac{{25}}{{78}}\end{array}\)

\(\begin{array}{l}\frac{4}{9} + \frac{1}{5} = \frac{{20}}{{45}} + \frac{9}{{45}}\\ = \frac{{29}}{{45}}\end{array}\)

\(\begin{array}{l}\frac{3}{{10}} + \frac{2}{{11}} = \frac{{33}}{{110}} + \frac{{20}}{{110}}\\ = \frac{{53}}{{110}}\end{array}\)

\(\begin{array}{l}\frac{1}{7} + \frac{3}{4} = \frac{4}{{28}} + \frac{{21}}{{28}}\\ = \frac{{25}}{{28}}\end{array}\)

\[\begin{array}{l}\frac{5}{8} + \frac{2}{3} = \frac{{15}}{{24}} + \frac{{16}}{{24}}\\ = \frac{{31}}{{12}}\end{array}\]

\(\begin{array}{l}\frac{1}{9} + \frac{4}{{11}} = \frac{{11}}{{99}} + \frac{{36}}{{99}}\\ = \frac{{47}}{{99}}\end{array}\)

\(\begin{array}{l}\frac{2}{5} + \frac{1}{{12}} = \frac{{24}}{{60}} + \frac{5}{{60}}\\ = \frac{{29}}{{60}}\end{array}\)

\[\begin{array}{l}\frac{3}{7} + \frac{1}{{10}} = \frac{{30}}{{70}} + \frac{7}{{70}}\\ = \frac{{37}}{{70}}\end{array}\]

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

\(\begin{array}{l}\frac{1}{6} + \frac{3}{8} = \frac{4}{{24}} + \frac{9}{{24}}\\ = \frac{{13}}{{24}}\end{array}\)

\(\begin{array}{l}\frac{2}{3} + \frac{1}{{14}} = \frac{{28}}{{42}} + \frac{3}{{42}}\\ = \frac{{31}}{{42}}\end{array}\)

\(\begin{array}{l}\frac{5}{9} + \frac{2}{7} = \frac{{35}}{{63}} + \frac{{18}}{{63}}\\ = \frac{{53}}{{63}}\end{array}\)

\(\begin{array}{l}\frac{1}{5} + \frac{3}{{13}} = \frac{{13}}{{65}} + \frac{{15}}{{65}}\\ = \frac{{28}}{{65}}\end{array}\)

\(\begin{array}{l}\frac{4}{{11}} + \frac{1}{3} = \frac{{12}}{{33}} + \frac{{11}}{{33}}\\ = \frac{{23}}{{33}}\end{array}\)

\(\begin{array}{l}\frac{2}{7} + \frac{3}{5} = \frac{{10}}{{35}} + \frac{{21}}{{35}}\\ = \frac{{31}}{{35}}\end{array}\)

\(\begin{array}{l}\frac{1}{8} + \frac{2}{9} = \frac{9}{{72}} + \frac{{16}}{{72}}\\ = \frac{{25}}{{72}}\end{array}\)

\(\begin{array}{l}\frac{3}{4} + \frac{1}{{13}} = \frac{{39}}{{52}} + \frac{4}{{52}}\\ = \frac{{43}}{{52}}\end{array}\)

\(\begin{array}{l}\frac{5}{{12}} + \frac{2}{5} = \frac{{25}}{{60}} + \frac{{24}}{{60}}\\ = \frac{{49}}{{60}}\end{array}\)

\(\begin{array}{l}\frac{1}{{11}} + \frac{3}{7} = \frac{7}{{77}} + \frac{{33}}{{77}}\\ = \frac{{40}}{{77}}\end{array}\)

\(\begin{array}{l}\frac{2}{3} + \frac{4}{9} = \frac{6}{9} + \frac{4}{9}\\ = \frac{{10}}{9}\end{array}\)

\(\begin{array}{l}\frac{1}{5} + \frac{2}{{19}} = \frac{{19}}{{95}} + \frac{{10}}{{95}}\\ = \frac{{29}}{{95}}\end{array}\)

\(\begin{array}{l}\frac{3}{8} + \frac{1}{7} = \frac{{21}}{{56}} + \frac{8}{{56}}\\ = \frac{{29}}{{56}}\end{array}\)

\(\begin{array}{l}\frac{4}{5} + \frac{1}{9} = \frac{{36}}{{45}} + \frac{5}{{45}}\\ = \frac{{41}}{{45}}\end{array}\)

\(\begin{array}{l}\frac{2}{{11}} + \frac{3}{{10}} = \frac{{20}}{{110}} + \frac{{33}}{{110}}\\ = \frac{{53}}{{110}}\end{array}\)

\(\begin{array}{l}\frac{1}{4} + \frac{2}{{13}} = \frac{{13}}{{52}} + \frac{8}{{52}}\\ = \frac{{21}}{{52}}\end{array}\)

\(\begin{array}{l}\frac{5}{7} + \frac{3}{{11}} = \frac{{55}}{{77}} + \frac{{21}}{{77}}\\ = \frac{{76}}{{77}}\end{array}\)

\[\begin{array}{l}\frac{2}{9} + \frac{1}{8} = \frac{{16}}{{72}} + \frac{9}{{72}}\\ = \frac{{25}}{{72}}\end{array}\]

\(\begin{array}{l}\frac{3}{5} + \frac{1}{7} = \frac{{21}}{{35}} + \frac{5}{{35}}\\ = \frac{{26}}{{35}}\end{array}\)

\(\begin{array}{l}\frac{4}{{13}} + \frac{1}{3} = \frac{{12}}{{39}} + \frac{{13}}{{39}}\\ = \frac{{25}}{{39}}\end{array}\)

\(\begin{array}{l}\frac{1}{6} + \frac{2}{5} = \frac{5}{{30}} + \frac{{12}}{{30}}\\ = \frac{{17}}{{30}}\end{array}\)

\(\begin{array}{l}\frac{2}{{17}} + \frac{1}{3} = \frac{6}{{51}} + \frac{{17}}{{51}}\\ = \frac{{23}}{{51}}\end{array}\)

\(\begin{array}{l}\frac{1}{{16}} + \frac{3}{5} = \frac{5}{{80}} + \frac{{48}}{{80}}\\ = \frac{{53}}{{80}}\end{array}\)

\(\begin{array}{l}\frac{5}{{14}} + \frac{2}{9} = \frac{{45}}{{126}} + \frac{{28}}{{126}}\\ = \frac{{73}}{{126}}\end{array}\)

\[\begin{array}{l}\frac{3}{{19}} + \frac{4}{7} = \frac{{21}}{{133}} + \frac{{76}}{{133}}\\ = \frac{{97}}{{133}}\end{array}\]

\(\begin{array}{l}\frac{1}{5} + \frac{6}{{11}} = \frac{{11}}{{55}} + \frac{{30}}{{55}}\\ = \frac{{41}}{{55}}\end{array}\)

\(\begin{array}{l}\frac{4}{{15}} + \frac{1}{8} = \frac{{32}}{{120}} + \frac{{15}}{{120}}\\ = \frac{{47}}{{120}}\end{array}\)

\(\begin{array}{l}\frac{2}{3} + \frac{5}{{16}} = \frac{{32}}{{48}} + \frac{{15}}{{48}}\\ = \frac{{47}}{{48}}\end{array}\)

\(\begin{array}{l}\frac{3}{7} + \frac{2}{{13}} = \frac{{39}}{{91}} + \frac{{14}}{{91}}\\ = \frac{{53}}{{91}}\end{array}\)

\(\begin{array}{l}\frac{1}{9} + \frac{4}{{17}} = \frac{{17}}{{153}} + \frac{{36}}{{153}}\\ = \frac{{53}}{{153}}\end{array}\)

\(\begin{array}{l}\frac{5}{{12}} + \frac{3}{{10}} = \frac{{25}}{{60}} + \frac{{18}}{{60}}\\ = \frac{{43}}{{60}}\end{array}\)

\(\begin{array}{l}\frac{2}{{11}} + \frac{5}{6} = \frac{{12}}{{66}} + \frac{{55}}{{66}}\\ = \frac{{67}}{{66}}\end{array}\)

\(\begin{array}{l}\frac{1}{4} + \frac{7}{{15}} = \frac{{15}}{{60}} + \frac{{28}}{{60}}\\ = \frac{{43}}{{60}}\end{array}\)

\(\begin{array}{l}\frac{3}{8} + \frac{4}{{19}} = \frac{{57}}{{152}} + \frac{{32}}{{152}}\\ = \frac{{89}}{{152}}\end{array}\)

\(\begin{array}{l}\frac{6}{7} + \frac{1}{{12}} = \frac{{72}}{{84}} + \frac{7}{{84}}\\ = \frac{{79}}{{84}}\end{array}\)

\[\begin{array}{l}\frac{2}{5} + \frac{3}{{14}} = \frac{{28}}{{70}} + \frac{{15}}{{70}}\\ = \frac{{43}}{{70}}\end{array}\]

\(\begin{array}{l}\frac{1}{{13}} + \frac{5}{9} = \frac{9}{{117}} + \frac{{65}}{{117}}\\ = \frac{{74}}{{117}}\end{array}\)

\(\begin{array}{l}\frac{4}{{11}} + \frac{2}{{15}} = \frac{{60}}{{165}} + \frac{{22}}{{165}}\\ = \frac{{82}}{{165}}\end{array}\)

\[\begin{array}{l}\frac{3}{5} + \frac{1}{{16}} = \frac{{48}}{{80}} + \frac{5}{{80}}\\ = \frac{{53}}{{80}}\end{array}\]

\(\begin{array}{l}\frac{2}{7} + \frac{4}{{13}} = \frac{{26}}{{91}} + \frac{{28}}{{91}}\\ = \frac{{54}}{{91}}\end{array}\)

\(\begin{array}{l}\frac{1}{3} + \frac{6}{{17}} = \frac{{17}}{{51}} + \frac{{18}}{{51}}\\ = \frac{{35}}{{51}}\end{array}\)

\(\begin{array}{l}\frac{5}{8} + \frac{3}{{11}} = \frac{{55}}{{88}} + \frac{{24}}{{88}}\\ = \frac{{79}}{{88}}\end{array}\)

\(\begin{array}{l}\frac{2}{9} + \frac{4}{5} = \frac{{10}}{{45}} + \frac{{36}}{{45}}\\ = \frac{{46}}{{45}}\end{array}\)

\(\begin{array}{l}\frac{1}{7} + \frac{5}{{12}} = \frac{{12}}{{84}} + \frac{{35}}{{84}}\\ = \frac{{47}}{{84}}\end{array}\)

\(\begin{array}{l}\frac{3}{{10}} + \frac{2}{{13}} = \frac{{39}}{{130}} + \frac{{20}}{{130}}\\ = \frac{{59}}{{130}}\end{array}\)

\(\begin{array}{l}\frac{4}{9} + \frac{1}{{14}} = \frac{{56}}{{126}} + \frac{9}{{126}}\\ = \frac{{65}}{{126}}\end{array}\)

\(\begin{array}{l}\frac{2}{3} + \frac{5}{7} = \frac{{14}}{{21}} + \frac{{15}}{{21}}\\ = \frac{{29}}{{21}}\end{array}\)

\(\begin{array}{l}\frac{1}{5} + \frac{3}{8} = \frac{8}{{40}} + \frac{{15}}{{40}}\\ = \frac{{23}}{{40}}\end{array}\)

\(\begin{array}{l}\frac{4}{{13}} + \frac{2}{{11}} = \frac{{44}}{{143}} + \frac{{26}}{{143}}\\ = \frac{{70}}{{143}}\end{array}\)

\(\begin{array}{l}\frac{3}{7} + \frac{1}{9} = \frac{{27}}{{63}} + \frac{7}{{63}}\\ = \frac{{34}}{{63}}\end{array}\)

\(\begin{array}{l}\frac{5}{{16}} + \frac{2}{5} = \frac{{25}}{{80}} + \frac{{32}}{{80}}\\ = \frac{{57}}{{80}}\end{array}\)

\(\begin{array}{l}\frac{1}{{11}} + \frac{4}{{15}} = \frac{{15}}{{165}} + \frac{{44}}{{165}}\\ = \frac{{59}}{{165}}\end{array}\)

\(\begin{array}{l}\frac{2}{{17}} + \frac{3}{4} = \frac{8}{{68}} + \frac{{51}}{{68}}\\ = \frac{{59}}{{68}}\end{array}\)

\(\begin{array}{l}\frac{5}{9} + \frac{1}{{10}} = \frac{{50}}{{90}} + \frac{9}{{90}}\\ = \frac{{59}}{{90}}\end{array}\)

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

\(\begin{array}{l}\frac{1}{3} + \frac{4}{{11}} = \frac{{11}}{{33}} + \frac{{12}}{{33}}\\ = \frac{{23}}{{33}}\end{array}\)

\(\begin{array}{l}\frac{2}{5} + \frac{5}{{13}} = \frac{{26}}{{65}} + \frac{{25}}{{65}}\\ = \frac{{51}}{{65}}\end{array}\)

\[\begin{array}{l}\frac{3}{8} + \frac{1}{{12}} = \frac{9}{{24}} + \frac{2}{{24}}\\ = \frac{{11}}{{24}}\end{array}\]

\(\begin{array}{l}\frac{4}{7} + \frac{2}{9} = \frac{{36}}{{63}} + \frac{{14}}{{63}}\\ = \frac{{50}}{{63}}\end{array}\)

\(\begin{array}{l}\frac{1}{{15}} + \frac{3}{7} = \frac{7}{{105}} + \frac{{45}}{{105}}\\ = \frac{{52}}{{105}}\end{array}\)

\(\begin{array}{l}\frac{5}{{11}} + \frac{2}{3} = \frac{{15}}{{33}} + \frac{{22}}{{33}}\\ = \frac{{37}}{{33}}\end{array}\)

\(\begin{array}{l}\frac{4}{7} + \frac{1}{{20}} = \frac{{80}}{{140}} + \frac{7}{{140}}\\ = \frac{{87}}{{140}}\end{array}\)

\(\begin{array}{l}\frac{2}{{11}} + \frac{5}{{18}} = \frac{{36}}{{198}} + \frac{{55}}{{198}}\\ = \frac{{91}}{{198}}\end{array}\)

\(\begin{array}{l}\frac{5}{{13}} + \frac{3}{8} = \frac{{40}}{{104}} + \frac{{39}}{{104}}\\ = \frac{{79}}{{104}}\end{array}\)

\[\begin{array}{l}\frac{1}{6} + \frac{4}{{19}} = \frac{{19}}{{114}} + \frac{{24}}{{114}}\\ = \frac{{43}}{{114}}\end{array}\]

\(\begin{array}{l}\frac{3}{{17}} + \frac{2}{5} = \frac{{15}}{{85}} + \frac{{34}}{{85}}\\ = \frac{{49}}{{85}}\end{array}\)

\(\begin{array}{l}\frac{3}{5} + \frac{2}{{33}} = \frac{{69}}{{115}} + \frac{{10}}{{115}}\\ = \frac{{79}}{{115}}\end{array}\)

\(\begin{array}{l}\frac{1}{9} + \frac{5}{{14}} = \frac{{14}}{{126}} + \frac{{45}}{{126}}\\ = \frac{{59}}{{126}}\end{array}\)

\(\begin{array}{l}\frac{4}{{15}} + \frac{3}{{11}} = \frac{{44}}{{165}} + \frac{{45}}{{165}}\\ = \frac{{89}}{{165}}\end{array}\)

\(\begin{array}{l}\frac{2}{3} + \frac{4}{{17}} = \frac{{34}}{{51}} + \frac{{12}}{{51}}\\ = \frac{{46}}{{51}}\end{array}\)

\(\begin{array}{l}\frac{5}{8} + \frac{1}{7} = \frac{{35}}{{56}} + \frac{8}{{56}}\\ = \frac{{43}}{{56}}\end{array}\)

\(\begin{array}{l}\frac{3}{{10}} + \frac{2}{{19}} = \frac{{57}}{{190}} + \frac{{20}}{{190}}\\ = \frac{{77}}{{190}}\end{array}\)

\(\begin{array}{l}\frac{1}{5} + \frac{6}{{13}} = \frac{{13}}{{65}} + \frac{{30}}{{65}}\\ = \frac{{43}}{{65}}\end{array}\)

\(\begin{array}{l}\frac{4}{9} + \frac{3}{{20}} = \frac{{80}}{{180}} + \frac{{27}}{{180}}\\ = \frac{{107}}{{180}}\end{array}\)

\(\begin{array}{l}\frac{2}{7} + \frac{5}{{12}} = \frac{{24}}{{84}} + \frac{{35}}{{84}}\\ = \frac{{59}}{{84}}\end{array}\)

\[\begin{array}{l}\frac{1}{4} + \frac{6}{{11}} = \frac{{11}}{{44}} + \frac{{24}}{{44}}\\ = \frac{{35}}{{44}}\end{array}\]

\(\begin{array}{l}\frac{3}{{13}} + \frac{4}{5} = \frac{{15}}{{65}} + \frac{{52}}{{65}}\\ = \frac{{67}}{{65}}\end{array}\)

\(\begin{array}{l}\frac{2}{{17}} + \frac{5}{9} = \frac{{18}}{{153}} + \frac{{85}}{{153}}\\ = \frac{{103}}{{153}}\end{array}\)

\[\begin{array}{l}\frac{1}{3} + \frac{5}{{16}} = \frac{{16}}{{48}} + \frac{{15}}{{48}}\\ = \frac{{31}}{{48}}\end{array}\]

\(\begin{array}{l}\frac{4}{{11}} + \frac{3}{7} = \frac{{28}}{{77}} + \frac{{33}}{{77}}\\ = \frac{{61}}{{77}}\end{array}\)

\(\begin{array}{l}\frac{2}{5} + \frac{4}{{21}} = \frac{{42}}{{105}} + \frac{{20}}{{105}}\\ = \frac{{62}}{{105}}\end{array}\)

\(\begin{array}{l}\frac{5}{7} + \frac{3}{{17}} = \frac{{85}}{{119}} + \frac{{21}}{{119}}\\ = \frac{{106}}{{119}}\end{array}\)

\(\begin{array}{l}\frac{1}{8} + \frac{6}{{19}} = \frac{{19}}{{152}} + \frac{{48}}{{152}}\\ = \frac{{67}}{{152}}\end{array}\)

\(\begin{array}{l}\frac{3}{5} + \frac{4}{{13}} = \frac{{39}}{{65}} + \frac{{20}}{{65}}\\ = \frac{{59}}{{65}}\end{array}\)

\(\begin{array}{l}\frac{2}{9} + \frac{5}{{11}} = \frac{{22}}{{99}} + \frac{{45}}{{99}}\\ = \frac{{67}}{{99}}\end{array}\)

\(\begin{array}{l}\frac{1}{{12}} + \frac{4}{7} = \frac{7}{{84}} + \frac{{48}}{{84}}\\ = \frac{{55}}{{84}}\end{array}\)

\(\begin{array}{l}\frac{3}{{10}} + \frac{5}{{14}} = \frac{{21}}{{70}} + \frac{{25}}{{70}}\\ = \frac{{46}}{{70}} = \frac{{23}}{{35}}\end{array}\)

\(\begin{array}{l}\frac{2}{3} + \frac{6}{{13}} = \frac{{26}}{{39}} + \frac{{18}}{{39}}\\ = \frac{{44}}{{39}}\end{array}\)

\(\begin{array}{l}\frac{1}{5} + \frac{7}{{16}} = \frac{{16}}{{80}} + \frac{{35}}{{80}}\\ = \frac{{51}}{{80}}\end{array}\)

\(\begin{array}{l}\frac{4}{9} + \frac{2}{{17}} = \frac{{68}}{{153}} + \frac{{18}}{{153}}\\ = \frac{{86}}{{153}}\end{array}\)

\(\begin{array}{l}\frac{3}{{11}} + \frac{5}{8} = \frac{{24}}{{88}} + \frac{{55}}{{88}}\\ = \frac{{79}}{{88}}\end{array}\)

\(\begin{array}{l}\frac{2}{{13}} + \frac{6}{7} = \frac{{14}}{{91}} + \frac{{78}}{{91}}\\ = \frac{{92}}{{91}}\end{array}\)

\(\begin{array}{l}\frac{1}{4} + \frac{5}{{17}} = \frac{{17}}{{68}} + \frac{{20}}{{68}}\\ = \frac{{37}}{{68}}\end{array}\)

\(\begin{array}{l}\frac{3}{7} + \frac{4}{{15}} = \frac{{45}}{{105}} + \frac{{28}}{{105}}\\ = \frac{{73}}{{105}}\end{array}\)

\(\begin{array}{l}\frac{5}{9} + \frac{2}{{11}} = \frac{{55}}{{99}} + \frac{{18}}{{99}}\\ = \frac{{73}}{{99}}\end{array}\)

\(\begin{array}{l}\frac{1}{3} + \frac{7}{{20}} = \frac{{20}}{{60}} + \frac{{21}}{{60}}\\ = \frac{{41}}{{60}}\end{array}\)

\(\begin{array}{l}\frac{4}{5} + \frac{3}{{19}} = \frac{{76}}{{95}} + \frac{{15}}{{95}}\\ = \frac{{91}}{{95}}\end{array}\)

\[\begin{array}{l}\frac{2}{7} + \frac{6}{{17}} = \frac{{34}}{{119}} + \frac{{42}}{{119}}\\ = \frac{{76}}{{119}}\end{array}\]

\(\begin{array}{l}\frac{1}{8} + \frac{4}{9} = \frac{9}{{72}} + \frac{{32}}{{72}}\\ = \frac{{41}}{{72}}\end{array}\)

\(\begin{array}{l}\frac{3}{{13}} + \frac{5}{7} = \frac{{21}}{{91}} + \frac{{65}}{{91}}\\ = \frac{{86}}{{91}}\end{array}\)

\(\begin{array}{l}\frac{2}{5} + \frac{7}{{18}} = \frac{{36}}{{90}} + \frac{{35}}{{90}}\\ = \frac{{71}}{{90}}\end{array}\)

\(\begin{array}{l}\frac{1}{{11}} + \frac{6}{{13}} = \frac{{13}}{{143}} + \frac{{66}}{{143}}\\ = \frac{{79}}{{143}}\end{array}\)

\(\begin{array}{l}\frac{3}{8} + \frac{2}{{15}} = \frac{{45}}{{120}} + \frac{{16}}{{120}}\\ = \frac{{61}}{{120}}\end{array}\)

\[\begin{array}{l}\frac{5}{6} + \frac{3}{{17}} = \frac{{85}}{{102}} + \frac{{18}}{{102}}\\ = \frac{{103}}{{102}}\end{array}\]

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

\(\begin{array}{l}\frac{1}{5} + \frac{6}{{19}} = \frac{{19}}{{95}} + \frac{{30}}{{95}}\\ = \frac{{49}}{{95}}\end{array}\)

\(\begin{array}{l}\frac{3}{7} + \frac{5}{{13}} = \frac{{39}}{{91}} + \frac{{35}}{{91}}\\ = \frac{{74}}{{91}}\end{array}\)

\(\begin{array}{l}\frac{2}{3} + \frac{7}{{16}} = \frac{{32}}{{48}} + \frac{{21}}{{48}}\\ = \frac{{53}}{{48}}\end{array}\)

\(\begin{array}{l}\frac{1}{4} + \frac{5}{9} = \frac{9}{{36}} + \frac{{20}}{{36}}\\ = \frac{{29}}{{36}}\end{array}\)