Bài tập Toán lớp 5 Tính giá trị biểu thức chứa phân số có đáp án

\(\begin{array}{l}(\frac{3}{{17}} + \frac{2}{5}) \times \frac{1}{4}\\ = (\frac{{15}}{{85}} + \frac{{34}}{{85}}) \times \frac{1}{4}\\ = \frac{{49}}{{85}} \times \frac{1}{4} = \frac{{49}}{{340}}\end{array}\)

\(\begin{array}{l}(\frac{5}{{19}} - \frac{1}{7}):\frac{2}{3}\\ = (\frac{{35}}{{133}} - \frac{{19}}{{133}}):\frac{2}{3}\\ = \frac{{16}}{{133}}:\frac{2}{3} = \frac{{24}}{{133}}\end{array}\)

\(\begin{array}{l}\frac{2}{{23}} \times \frac{3}{8} + \frac{1}{5}\\ = \frac{3}{{92}} + \frac{1}{5}\\ = \frac{{15}}{{460}} + \frac{{92}}{{460}} = \frac{{107}}{{460}}\end{array}\)

\(\begin{array}{l}\frac{4}{{25}}:\frac{2}{9} - \frac{1}{6}\\ = \frac{{18}}{{25}} - \frac{1}{6}\\ = \frac{{108}}{{150}} - \frac{{25}}{{150}} = \frac{{83}}{{150}}\end{array}\)

\(\begin{array}{l}(\frac{7}{{29}} + \frac{3}{{10}}) \times \frac{2}{7}\\ = (\frac{{70}}{{290}} + \frac{{87}}{{290}}) \times \frac{2}{7}\\ = \frac{{157}}{{290}} \times \frac{2}{7} = \frac{{314}}{{2030}} = \frac{{157}}{{1015}}\end{array}\)

\(\begin{array}{l}(\frac{5}{{21}} - \frac{2}{{13}}):\frac{3}{4}\\ = (\frac{{65}}{{273}} - \frac{{42}}{{273}}):\frac{3}{4}\\ = \frac{{23}}{{273}}:\frac{3}{4} = \frac{{92}}{{819}}\end{array}\)

\(\begin{array}{l}\frac{3}{{16}} \times \frac{4}{{15}} + \frac{2}{9}\\ = \frac{{12}}{{240}} + \frac{2}{9}\\ = \frac{1}{{20}} + \frac{2}{9} = \frac{9}{{180}} + \frac{{40}}{{180}} = \frac{{49}}{{180}}\end{array}\)

\(\begin{array}{l}\frac{2}{3} \times (\frac{1}{4} + \frac{3}{8})\\ = \frac{2}{3} \times (\frac{2}{8} + \frac{3}{8})\\ = \frac{2}{3} \times \frac{5}{8} = \frac{{10}}{{24}} = \frac{5}{{12}}\end{array}\)

\(\begin{array}{l}\frac{3}{6}:(\frac{2}{3} - \frac{1}{4})\\ = \frac{3}{6}:(\frac{8}{{12}} - \frac{3}{{12}})\\ = \frac{3}{6}:\frac{5}{{12}} = \frac{{36}}{{30}} = \frac{6}{5}\end{array}\)

\(\begin{array}{l}\frac{1}{8} \times (\frac{3}{4} - \frac{2}{6})\\ = \frac{1}{8} \times (\frac{9}{{12}} - \frac{4}{{12}})\\ = \frac{1}{8} \times \frac{5}{{12}} = \frac{5}{{96}}\end{array}\)

\(\begin{array}{l}\frac{4}{6}:(\frac{1}{3} + \frac{2}{8})\\ = \frac{4}{6}:(\frac{8}{{24}} + \frac{6}{{24}})\\ = \frac{4}{6}:\frac{{14}}{{24}} = \frac{4}{6}:\frac{7}{{12}} = \frac{{48}}{{42}} = \frac{8}{7}\end{array}\)

\(\begin{array}{l}\frac{3}{4} \times (\frac{2}{9} + \frac{1}{6})\\ = \frac{3}{4} \times (\frac{4}{{18}} + \frac{3}{{18}})\\ = \frac{3}{4} \times \frac{7}{{18}} = \frac{{21}}{{72}} = \frac{7}{{24}}\end{array}\)

\(\begin{array}{l}\frac{2}{8}:(\frac{3}{6} - \frac{1}{9})\\ = \frac{2}{8}:(\frac{9}{{18}} - \frac{2}{{18}})\\ = \frac{2}{8}:\frac{7}{{18}} = \frac{{36}}{{56}} = \frac{9}{{14}}\end{array}\)

\(\begin{array}{l}\frac{1}{3} \times (\frac{4}{8} + \frac{2}{4})\\ = \frac{1}{3} \times (\frac{4}{8} + \frac{4}{8})\\ = \frac{1}{3} \times \frac{8}{8} = \frac{1}{3} \times 1 = \frac{1}{3}\end{array}\)

\(\begin{array}{l}\frac{5}{6}:(\frac{2}{4} - \frac{1}{8})\\ = \frac{5}{6}:(\frac{4}{8} - \frac{1}{8})\\ = \frac{5}{6}:\frac{3}{8} = \frac{{40}}{{18}} = \frac{{20}}{9}\end{array}\)

\(\begin{array}{l}\frac{2}{5} \times \frac{3}{{10}}:\frac{1}{2}\\ = \frac{6}{{50}}:\frac{1}{2} = \frac{3}{{25}}:\frac{1}{2} = \frac{6}{{25}}\end{array}\)

\(\begin{array}{l}\frac{4}{{12}}:\frac{2}{7} \times \frac{3}{5}\\ = \frac{{28}}{{24}} \times \frac{3}{5} = \frac{7}{6} \times \frac{3}{5} = \frac{{21}}{{30}} = \frac{7}{{10}}\end{array}\)

\(\begin{array}{l}3 \times \frac{5}{2}:7\\ = \frac{{15}}{2}:7 = \frac{{15}}{{14}}\end{array}\)

\(\begin{array}{l}\frac{1}{2} + \frac{1}{3} \times \frac{2}{5}\\ = \frac{1}{{12}} + \frac{2}{{15}}\\ = \frac{{15}}{{30}} + \frac{4}{{30}} = \frac{{19}}{{30}}\end{array}\)

\(\begin{array}{l}\frac{3}{4} - \frac{1}{2}:\frac{2}{3}\\ = \frac{3}{4} - \frac{3}{4} = 0\end{array}\)

\(\begin{array}{l}\frac{2}{3} \times \frac{3}{5} + \frac{1}{4}\\ = \frac{6}{{15}} + \frac{1}{4}\\ = \frac{{24}}{{60}} + \frac{{15}}{{60}} = \frac{{39}}{{60}} = \frac{{13}}{{20}}\end{array}\)

\(\begin{array}{l}\frac{5}{6}:\frac{2}{3} - \frac{1}{3}\\ = \frac{5}{4} - \frac{1}{3} = \frac{{15}}{{12}} - \frac{4}{{12}} = \frac{{11}}{{12}}\end{array}\)

\[\begin{array}{l}\frac{1}{4} + \frac{2}{5}:\frac{3}{7}\\ = \frac{1}{4} + \frac{{14}}{{15}}\\ = \frac{{15}}{{60}} + \frac{{56}}{{60}} = \frac{{71}}{{60}}\end{array}\]

\(\begin{array}{l}\frac{3}{8} - \frac{1}{4} \times \frac{2}{3}\\ = \frac{3}{8} - \frac{2}{{12}}\\ = \frac{9}{{24}} - \frac{4}{{24}} = \frac{5}{{24}}\end{array}\)

\(\begin{array}{l}\frac{4}{5} \times \frac{2}{7} + \frac{1}{3}\\ = \frac{8}{{35}} + \frac{1}{3})\\ = \frac{{24}}{{105}} + \frac{{35}}{{105}} = \frac{{59}}{{105}}\end{array}\)

\(\begin{array}{l}\frac{2}{3}:\frac{1}{2} - \frac{3}{4}\\ = \frac{4}{3} - \frac{3}{4}\\ = \frac{{16}}{{12}} - \frac{9}{{12}} = \frac{7}{{12}}\end{array}\)

\(\begin{array}{l}\frac{1}{6} + \frac{3}{4} \times \frac{2}{5}\\ = \frac{1}{6} + \frac{6}{{20}}\\ = \frac{5}{{30}} + \frac{9}{{30}} = \frac{{14}}{{30}} = \frac{7}{{15}}\end{array}\)

\(\begin{array}{l}\frac{1}{3} \times \frac{4}{5} + \frac{2}{7}\\ = \frac{4}{{15}} + \frac{2}{7}\\ = \frac{{28}}{{105}} + \frac{{30}}{{105}} = \frac{{58}}{{105}}\end{array}\)

\(\begin{array}{l}\frac{3}{5}:\frac{1}{3} - \frac{1}{2}\\ = \frac{9}{5} - \frac{1}{2}\\ = \frac{{18}}{{10}} - \frac{5}{{10}} = \frac{{13}}{{10}}\end{array}\)

\(\begin{array}{l}\frac{2}{5} + \frac{1}{4} \times \frac{3}{8}\\ = \frac{2}{5} + \frac{3}{{32}}\\ = \frac{{64}}{{160}} + \frac{{15}}{{160}} = \frac{{79}}{{160}}\end{array}\)

\[\begin{array}{l}\frac{1}{2} \times \frac{3}{4} + \frac{1}{5}\\ = \frac{3}{8} + \frac{1}{5}\\ = \frac{{15}}{{40}} + \frac{8}{{40}} = \frac{{23}}{{40}}\end{array}\]

\(\begin{array}{l}\frac{5}{8}:\frac{1}{2} - \frac{2}{3}\\ = \frac{5}{4} - \frac{2}{3}\\ = \frac{{15}}{{12}} - \frac{8}{{12}} = \frac{7}{{12}}\end{array}\)

\(\begin{array}{l}\frac{3}{7} + \frac{2}{3} \times \frac{1}{4}\\ = \frac{3}{7} + \frac{2}{{12}}\\ = \frac{{36}}{{84}} + \frac{{14}}{{84}} = \frac{{50}}{{84}} = \frac{{25}}{{42}}\end{array}\)

\(\begin{array}{l}\frac{2}{3} \times \frac{1}{5} + \frac{3}{4}\\ = \frac{2}{{15}} + \frac{3}{4}\\ = \frac{8}{{60}} + \frac{{45}}{{60}} = \frac{{53}}{{60}}\end{array}\)

\(\begin{array}{l}\frac{5}{6}:\frac{3}{4} - \frac{1}{4}\\ = \frac{{20}}{{18}} - \frac{1}{2}\\ = \frac{{20}}{{18}} - \frac{9}{{18}} = \frac{{11}}{{18}}\end{array}\)

\(\begin{array}{l}\frac{1}{4} + \frac{2}{7} \times \frac{3}{5}\\ = \frac{1}{4} + \frac{6}{{35}}\\ = \frac{{35}}{{140}} + \frac{{24}}{{140}} = \frac{{59}}{{140}}\end{array}\)

\(\begin{array}{l}\frac{2}{5} \times \frac{4}{7} + \frac{1}{3}\\ = \frac{8}{{35}} + \frac{1}{3}\\ = \frac{{24}}{{105}} + \frac{{35}}{{105}} = \frac{{59}}{{105}}\end{array}\)

\(\begin{array}{l}\frac{4}{9}:\frac{2}{3} - \frac{1}{6}\\ = \frac{4}{6} - \frac{1}{6}\\ = \frac{3}{6} = \frac{1}{2}\end{array}\)

\(\begin{array}{l}\frac{1}{5} + \frac{3}{8} \times \frac{2}{7}\\ = \frac{1}{5} + \frac{6}{{56}}\\ = \frac{{56}}{{280}} + \frac{{30}}{{280}} = \frac{{86}}{{280}} = \frac{{43}}{{140}}\end{array}\)

\(\begin{array}{l}\frac{5}{7} - \frac{1}{4}:\frac{3}{5}\\ = \frac{5}{7} - \frac{5}{{12}}\\ = \frac{{60}}{{84}} - \frac{{35}}{{84}} = \frac{{25}}{{84}}\end{array}\)

\(\begin{array}{l}\frac{3}{5} \times \frac{2}{3} + \frac{1}{4}\\ = \frac{6}{{15}} + \frac{1}{4}\\ = \frac{{24}}{{60}} + \frac{{15}}{{60}} = \frac{{39}}{{60}} = \frac{{13}}{{20}}\end{array}\)

\(\begin{array}{l}\frac{2}{3}:\frac{1}{5} - \frac{3}{7}\\ = \frac{{10}}{3} - \frac{3}{7}\\ = \frac{{70}}{{21}} - \frac{9}{{21}} = \frac{{61}}{{21}}\end{array}\)

\(\begin{array}{l}\frac{2}{9} \times \frac{3}{4} + \frac{5}{6}\\ = \frac{6}{{36}} + \frac{5}{6}\\ = \frac{6}{{36}} + \frac{{30}}{{36}} = \frac{{36}}{{36}} = 1\end{array}\)

\(\begin{array}{l}\frac{7}{8} - \frac{1}{3}:\frac{4}{5}\\ = \frac{7}{8} - \frac{5}{{12}}\\ = \frac{{21}}{{24}} - \frac{{10}}{{24}} = \frac{{11}}{{24}}\end{array}\)

\(\begin{array}{l}\frac{3}{7}:\frac{2}{5} + \frac{1}{9}\\ = \frac{{15}}{{14}} + \frac{1}{9}\\ = \frac{{135}}{{126}} + \frac{{14}}{{126}} = \frac{{149}}{{126}}\end{array}\)

\(\begin{array}{l}\frac{5}{9}:\frac{1}{3} - \frac{2}{{11}}\\ = \frac{5}{3} - \frac{2}{{11}}\\ = \frac{{55}}{{33}} - \frac{6}{{33}} = \frac{{49}}{{33}}\end{array}\)

\(\begin{array}{l}\frac{3}{4} + \frac{1}{8} \times \frac{5}{6}\\ = \frac{3}{4} + \frac{5}{{48}}\\ = \frac{{36}}{{48}} + \frac{5}{{48}} = \frac{{41}}{{48}}\end{array}\)

\(\begin{array}{l}\frac{2}{7} \times \frac{6}{{11}} + \frac{4}{9}\\ = \frac{{12}}{{77}} + \frac{4}{9}\\ = \frac{{108}}{{693}} + \frac{{308}}{{693}} = \frac{{416}}{{693}} = \frac{{64}}{{99}}\end{array}\)

\(\begin{array}{l}\frac{{11}}{{12}}:\frac{5}{6} - \frac{1}{4}\\ = \frac{{11}}{{10}} - \frac{1}{4}\\ = \frac{{44}}{{40}} - \frac{{10}}{{40}} = \frac{{34}}{{40}} = \frac{{17}}{{20}}\end{array}\)

\(\begin{array}{l}\frac{1}{5} + \frac{7}{9} \times \frac{3}{8}\\ = \frac{1}{5} + \frac{{21}}{{72}}\\ = \frac{{72}}{{360}} + \frac{{105}}{{360}} = \frac{{177}}{{360}} = \frac{{59}}{{120}}\end{array}\)

\(\begin{array}{l}\frac{3}{{10}} \times \frac{5}{8} + \frac{7}{{12}}\\ = \frac{{15}}{{80}} + \frac{7}{{12}}\\ = \frac{{45}}{{240}} + \frac{{140}}{{240}} = \frac{{185}}{{240}} = \frac{{37}}{{48}}\end{array}\)

\(\begin{array}{l}\frac{9}{{11}}:\frac{3}{4} - \frac{2}{5}\\ = \frac{{36}}{{33}} - \frac{2}{5}\\ = \frac{{180}}{{165}} - \frac{{66}}{{165}} = \frac{{114}}{{165}} = \frac{{38}}{{55}}\end{array}\)

\(\begin{array}{l}\frac{1}{3} + \frac{4}{7} \times \frac{5}{9}\\ = \frac{1}{3} + \frac{{20}}{{63}}\\ = \frac{{21}}{{63}} + \frac{{20}}{{63}} = \frac{{41}}{{63}}\end{array}\)

\(\begin{array}{l}\frac{5}{6} - \frac{1}{4} \times \frac{3}{5}\\ = \frac{5}{6} - \frac{3}{{20}}\\ = \frac{{50}}{{60}} - \frac{9}{{60}} = \frac{{41}}{{60}}\end{array}\)

\(\begin{array}{l}\frac{2}{9}:\frac{1}{6} + \frac{7}{8}\\ = \frac{4}{3} + \frac{7}{8}\\ = \frac{{32}}{{24}} + \frac{{21}}{{24}} = \frac{{53}}{{24}}\end{array}\)

\(\begin{array}{l}\frac{3}{8} + \frac{5}{{12}} \times \frac{2}{7}\\ = \frac{3}{8} + \frac{{10}}{{84}}\\ = \frac{{126}}{{336}} + \frac{{40}}{{336}} = \frac{{166}}{{336}} = \frac{{83}}{{168}}\end{array}\)

\(\begin{array}{l}\frac{7}{{10}} - (\frac{4}{9}:\frac{2}{3})\\ = \frac{7}{{10}} - \frac{4}{6}\\ = \frac{{21}}{{30}} - \frac{{20}}{{30}} = \frac{1}{{30}}\end{array}\)

\(\begin{array}{l}\frac{1}{7} \times \frac{6}{4} + \frac{3}{{10}}\\ = \frac{6}{{35}} + \frac{3}{{10}} = \frac{{60}}{{350}} + \frac{{105}}{{350}} = \frac{{165}}{{350}} = \frac{{33}}{{70}}\end{array}\)

\(\begin{array}{l}\frac{5}{8}:\frac{2}{9} - \frac{1}{6}\\ = \frac{{45}}{{16}} - \frac{1}{6} = \frac{{135}}{{48}} - \frac{8}{{48}} = \frac{{127}}{{48}}\end{array}\)

\(\begin{array}{l}\frac{4}{{11}} + \frac{3}{5} \times \frac{7}{8}\\ = \frac{4}{{11}} + \frac{{21}}{{40}} = \frac{{160}}{{440}} + \frac{{231}}{{440}} = \frac{{391}}{{440}}\end{array}\)

\(\begin{array}{l}\frac{9}{{14}} - \frac{1}{7}:\frac{3}{4}\\ = \frac{9}{{14}} - \frac{4}{{21}}\\ = \frac{{27}}{{42}} - \frac{8}{{42}} = \frac{{19}}{{42}}\end{array}\)

\(\begin{array}{l}\frac{2}{5} \times \frac{3}{{10}} + \frac{{11}}{{12}}\\ = \frac{6}{{50}} + \frac{{11}}{{12}} = \frac{{36}}{{300}} + \frac{{275}}{{300}} = \frac{{311}}{{300}}\end{array}\)

\(\begin{array}{l}\frac{7}{9}:\frac{5}{6} - \frac{2}{7}\\ = \frac{{42}}{{45}} - \frac{2}{7}\\ = \frac{{294}}{{315}} - \frac{{90}}{{315}} = \frac{{204}}{{315}} = \frac{{68}}{{105}}\end{array}\)

\(\begin{array}{l}\frac{1}{8} + \frac{4}{9} \times \frac{5}{7}\\ = \frac{1}{8} + \frac{{20}}{{63}} = \frac{{63}}{{504}} + \frac{{160}}{{504}} = \frac{{223}}{{504}}\end{array}\)

\[\begin{array}{l}\frac{3}{5} - \frac{2}{{11}}:\frac{4}{7}\\ = \frac{3}{5} - \frac{7}{{22}}\\ = \frac{{66}}{{110}} - \frac{{35}}{{110}} = \frac{{31}}{{110}}\end{array}\]

\(\begin{array}{l}\frac{3}{5} - \frac{2}{{11}}:\frac{4}{7}\\ = \frac{3}{5} - \frac{7}{{22}}\\ = \frac{{66}}{{110}} - \frac{{35}}{{110}} = \frac{{31}}{{110}}\end{array}\)

\(\begin{array}{l}\frac{5}{{12}} \times \frac{3}{8} + \frac{1}{9}\\ = \frac{{15}}{{96}} + \frac{1}{9}\\ = \frac{{45}}{{288}} + \frac{{32}}{{288}} = \frac{{77}}{{288}}\end{array}\)

\[\begin{array}{l}\frac{8}{{15}}:\frac{2}{5} - \frac{3}{{10}}\\ = \frac{4}{3} - \frac{3}{{10}}\\ = \frac{{40}}{{30}} - \frac{9}{{30}} = \frac{{31}}{{30}}\end{array}\]

\(\begin{array}{l}\frac{1}{4} + \frac{7}{{10}} \times \frac{2}{9}\\ = \frac{1}{4} + \frac{{14}}{{90}}\\ = \frac{{45}}{{180}} + \frac{{28}}{{180}} = \frac{{73}}{{180}}\end{array}\)

\(\begin{array}{l}\frac{6}{7} - \frac{3}{8} \times \frac{5}{9}\\ = \frac{6}{7} - \frac{5}{{24}}\\ = \frac{{144}}{{168}} - \frac{{35}}{{168}} = \frac{{109}}{{168}}\end{array}\)

\[\begin{array}{l}\frac{2}{3} \times \frac{4}{{11}} + \frac{5}{{12}}\\ = \frac{8}{{33}} + \frac{5}{{12}}\\ = \frac{{96}}{{396}} + \frac{{165}}{{396}} = \frac{{261}}{{396}} = \frac{{87}}{{132}}\end{array}\]

\(\begin{array}{l}\frac{9}{{10}}:\frac{3}{5} - \frac{1}{8}\\ = \frac{3}{2} - \frac{1}{8}\\ = \frac{{24}}{{16}} - \frac{2}{{16}} = \frac{{22}}{{16}} = \frac{{11}}{8}\end{array}\)

\[\begin{array}{l}\frac{1}{6} + \frac{5}{7} \times \frac{3}{{10}}\\ = \frac{1}{6} + \frac{{15}}{{70}}\\ = \frac{{70}}{{420}} + \frac{{90}}{{420}} = \frac{{160}}{{420}} = \frac{8}{{21}}\end{array}\]

\(\begin{array}{l}\frac{3}{8} \times \frac{5}{9} + \frac{7}{{12}}\\ = \frac{{15}}{{72}} + \frac{7}{{12}}\\ = \frac{{15}}{{72}} + \frac{{42}}{{72}} = \frac{{57}}{{72}} = \frac{{19}}{{24}}\end{array}\)

\(\begin{array}{l}\frac{{11}}{{15}}:\frac{4}{5} - \frac{2}{9}\\ = \frac{{11}}{{12}} - \frac{2}{9}\\ = \frac{{99}}{{108}} - \frac{{24}}{{108}} = \frac{{75}}{{108}} = \frac{{25}}{{36}}\end{array}\)

\(\begin{array}{l}\frac{1}{7} + \frac{3}{{10}} \times \frac{4}{9}\\ = \frac{1}{7} + \frac{{12}}{{90}}\\ = \frac{1}{7} + \frac{2}{{15}} = \frac{{14}}{{105}} + \frac{{14}}{{105}} = \frac{{29}}{{105}}\end{array}\)

\(\begin{array}{l}\frac{2}{5} \times \frac{7}{8} + \frac{3}{{11}}\\ = \frac{{14}}{{40}} + \frac{3}{{11}}\\ = \frac{{154}}{{440}} + \frac{{120}}{{440}} = \frac{{274}}{{440}} = \frac{{137}}{{120}}\end{array}\)

\(\begin{array}{l}\frac{8}{5}:\frac{5}{6} - \frac{1}{7}\\ = \frac{{16}}{{15}} - \frac{1}{7}\\ = \frac{{112}}{{105}} - \frac{{15}}{{105}} = \frac{{97}}{{105}}\end{array}\)

\(\begin{array}{l}\frac{4}{5}:\frac{2}{3} - \frac{7}{{10}}\\ = \frac{6}{5} - \frac{7}{{10}}\\ = \frac{{12}}{{10}} - \frac{7}{{10}} = \frac{5}{{10}} = \frac{1}{2}\end{array}\)

\(\begin{array}{l}\frac{2}{9} \times \frac{3}{7} + \frac{5}{8}\\ = \frac{6}{{63}} + \frac{5}{8}\\ = \frac{{48}}{{504}} + \frac{{315}}{{504}} = \frac{{363}}{{504}} = \frac{{121}}{{168}}\end{array}\)

\(\begin{array}{l}\frac{7}{{12}} - \frac{3}{8} \times \frac{5}{9}\\ = \frac{7}{{12}} - \frac{{15}}{{72}}\\ = \frac{{42}}{{72}} - \frac{{15}}{{72}} = \frac{{27}}{{72}} = \frac{3}{8}\end{array}\)

\(\begin{array}{l}\frac{5}{7} - \frac{1}{4}:\frac{3}{5}\\ = \frac{5}{7} - \frac{5}{{12}}\\ = \frac{{60}}{{84}} - \frac{{35}}{{84}} = \frac{{25}}{{84}}\end{array}\)

\(\begin{array}{l}\frac{3}{5} \times \frac{2}{3} + \frac{1}{4}\\ = \frac{6}{{15}} + \frac{1}{4}\\ = \frac{{24}}{{60}} + \frac{{15}}{{60}} = \frac{{39}}{{60}} = \frac{{13}}{{20}}\end{array}\)

\(\begin{array}{l}\frac{2}{3}:\frac{1}{5} - \frac{3}{7}\\ = \frac{{10}}{3} - \frac{3}{7}\\ = \frac{{70}}{{21}} - \frac{9}{{21}} = \frac{{61}}{{21}}\end{array}\)

\(\begin{array}{l}\frac{5}{{13}} \times \frac{2}{7} + \frac{3}{8}\\ = \frac{{10}}{{91}} + \frac{3}{8}\\ = \frac{{80}}{{728}} + \frac{{273}}{{728}} = \frac{{353}}{{728}}\end{array}\)

\[\begin{array}{l}\frac{1}{5} \times \frac{3}{7} + \frac{2}{9}\\ = \frac{3}{{35}} + \frac{2}{9}\\ = \frac{{27}}{{315}} + \frac{{70}}{{315}} = \frac{{97}}{{315}}\end{array}\]

\(\begin{array}{l}\frac{4}{7} - \frac{1}{3}:\frac{5}{8}\\ = \frac{4}{7} - \frac{8}{{15}}\\ = \frac{{60}}{{105}} - \frac{{56}}{{105}} = \frac{4}{{105}}\end{array}\)

\(\begin{array}{l}\frac{1}{3} \times \frac{5}{7} + \frac{2}{9} - \frac{3}{8}\\ = \frac{5}{{12}} + \frac{2}{9} - \frac{3}{8}\\ = \frac{{40}}{{168}} + \frac{{48}}{{168}} - \frac{{63}}{{168}} = \frac{{25}}{{168}}\end{array}\)

\(\begin{array}{l}\frac{1}{7} \times \frac{5}{9} + \frac{2}{{11}}\\ = \frac{5}{{63}} + \frac{2}{{11}}\\ = \frac{{55}}{{693}} + \frac{{126}}{{693}} = \frac{{181}}{{693}}\end{array}\)

\(\begin{array}{l}\frac{1}{9} \times \frac{5}{7} + \frac{2}{{13}}\\ = \frac{5}{{63}} + \frac{2}{{13}}\\ = \frac{{65}}{{819}} + \frac{{126}}{{819}} = \frac{{191}}{{819}}\end{array}\)

\(\begin{array}{l}\frac{4}{5} - \frac{2}{7}:\frac{3}{8} + \frac{1}{6}\\ = \frac{4}{5} - \frac{{16}}{{21}} + \frac{1}{6}\\ = \frac{{168}}{{210}} - \frac{{160}}{{210}} + \frac{{35}}{{210}} = \frac{{43}}{{210}}\end{array}\)

\(\begin{array}{l}\frac{3}{{10}}:\frac{1}{4} + \frac{5}{{13}}\\ = \frac{6}{5} + \frac{5}{{13}}\\ = \frac{{78}}{{65}} + \frac{{25}}{{65}} = \frac{{103}}{{65}}\end{array}\)

\(\begin{array}{l}\frac{3}{7} - \frac{1}{4} \times \frac{5}{9}\\ = \frac{3}{7} - \frac{5}{{36}}\\ = \frac{{108}}{{252}} - \frac{{35}}{{252}} = \frac{{73}}{{252}}\end{array}\)

\(\begin{array}{l}\frac{3}{{11}}:\frac{1}{4} \times \frac{5}{9} + \frac{2}{{13}}\\ = \frac{{12}}{{11}} \times \frac{5}{9} + \frac{2}{{13}}\\ = \frac{{20}}{{33}} + \frac{2}{{13}} = \frac{{260}}{{429}} + \frac{{66}}{{429}} = \frac{{326}}{{429}}\end{array}\)

\(\begin{array}{l}\frac{7}{{12}} + \frac{3}{8} \times \frac{5}{{11}}\\ = \frac{7}{{12}} + \frac{{15}}{{88}}\\ = \frac{{308}}{{528}} + \frac{{90}}{{528}} = \frac{{398}}{{528}} = \frac{{199}}{{264}}\end{array}\)

\(\begin{array}{l}\frac{7}{{13}} \times \frac{2}{5} + \frac{1}{8}\\ = \frac{{14}}{{65}} + \frac{1}{8}\\ = \frac{{112}}{{520}} + \frac{{65}}{{520}} = \frac{{177}}{{520}}\end{array}\)

\(\begin{array}{l}\frac{7}{{12}} + \frac{1}{5} \times \frac{3}{8} - \frac{2}{9}\\ = \frac{7}{{12}} + \frac{3}{{40}} - \frac{2}{9}\\ = \frac{{280}}{{480}} + \frac{{36}}{{480}} - \frac{{160}}{{480}} = \frac{{156}}{{480}} = \frac{{39}}{{120}}\end{array}\)

\(\begin{array}{l}\frac{2}{3} - \frac{1}{6} \times \frac{4}{7}\\ = \frac{2}{3} - \frac{4}{{42}}\\ = \frac{{28}}{{42}} - \frac{4}{{42}} = \frac{{24}}{{42}} = \frac{4}{7}\end{array}\)

\(\begin{array}{l}\frac{1}{6}:\frac{3}{8} - \frac{2}{{11}}\\ = \frac{4}{9} - \frac{2}{{11}}\\ = \frac{{44}}{{99}} - \frac{{18}}{{99}} = \frac{{26}}{{99}}\end{array}\)

\(\begin{array}{l}\frac{2}{3} - \frac{5}{6} \times \frac{1}{7} + \frac{4}{{11}}\\ = \frac{2}{3} - \frac{5}{{42}} + \frac{4}{{11}}\\ = \frac{{84}}{{126}} - \frac{{15}}{{126}} + \frac{{56}}{{126}} = \frac{{125}}{{126}}\end{array}\)

\(\begin{array}{l}\frac{5}{9} \times \frac{2}{7} + \frac{3}{{10}}\\ = \frac{{10}}{{63}} + \frac{3}{{10}}\\ = \frac{{100}}{{630}} + \frac{{189}}{{630}} = \frac{{289}}{{630}}\end{array}\)

\(\begin{array}{l}\frac{5}{9} + \frac{1}{7}:\frac{4}{5}\\ = \frac{5}{9} + \frac{5}{{28}}\\ = \frac{{140}}{{252}} + \frac{{45}}{{252}} = \frac{{185}}{{252}}\end{array}\)

\(\begin{array}{l}\frac{5}{9} \times \frac{3}{{10}} + \frac{1}{4}:\frac{2}{5}\\ = \frac{{15}}{{90}} + \frac{5}{8} = \frac{{60}}{{360}} + \frac{{225}}{{360}}\\ = \frac{{285}}{{360}} = \frac{{19}}{{24}}\end{array}\)

\(\begin{array}{l}\frac{6}{{11}} + \frac{1}{3}:\frac{5}{7}\\ = \frac{6}{{11}} + \frac{7}{{15}} = \frac{{90}}{{165}} + \frac{{77}}{{165}}\\ = \frac{{167}}{{165}}\end{array}\)

\(\begin{array}{l}\frac{2}{3} - \frac{5}{{12}} \times \frac{3}{7}\\ = \frac{2}{3} - \frac{{15}}{{84}} = \frac{{56}}{{84}} - \frac{{15}}{{84}}\\ = \frac{{41}}{{84}}\end{array}\)

\(\begin{array}{l}\frac{1}{8}:\frac{3}{7} - \frac{2}{5} \times \frac{4}{9}\\ = \frac{7}{{24}} - \frac{8}{{45}}\\ = \frac{{315}}{{1080}} - \frac{{192}}{{1080}} = \frac{{123}}{{1080}} = \frac{{41}}{{360}}\end{array}\)

\(\begin{array}{l}\frac{3}{4} - \frac{2}{5} \times \frac{7}{9}\\ = \frac{3}{4} - \frac{{14}}{{45}} = \frac{{135}}{{180}} - \frac{{56}}{{180}}\\ = \frac{{79}}{{180}}\end{array}\)

\(\begin{array}{l}\frac{3}{{10}} \times \frac{4}{7} + \frac{5}{{11}}\\ = \frac{{12}}{{70}} + \frac{5}{{11}}\\ = \frac{{66}}{{770}} + \frac{{350}}{{770}} = \frac{{416}}{{770}} = \frac{{208}}{{385}}\end{array}\)

\(\begin{array}{l}\frac{6}{{11}} + \frac{2}{9}:\frac{5}{7} - \frac{1}{3}\\ = \frac{6}{{11}} + \frac{{14}}{{45}} - \frac{1}{3}\\ = \frac{{270}}{{495}} + \frac{{154}}{{495}} - \frac{{165}}{{495}} = \frac{{259}}{{495}}\end{array}\)

\[\begin{array}{l}\frac{1}{8} \times \frac{3}{5} + \frac{7}{{12}}\\ = \frac{3}{{40}} + \frac{7}{{12}}\\ = \frac{9}{{120}} + \frac{{70}}{{120}} = \frac{{79}}{{120}}\end{array}\]

\(\begin{array}{l}\frac{7}{8}:\frac{2}{5} - \frac{1}{9}\\ = \frac{{35}}{{16}} - \frac{1}{9}\\ = \frac{{315}}{{144}} - \frac{{16}}{{144}} = \frac{{299}}{{144}}\end{array}\)

\(\begin{array}{l}\frac{3}{4} \times \frac{5}{8} - \frac{1}{6} + \frac{2}{7}\\ = \frac{{15}}{{32}} - \frac{1}{6} + \frac{2}{7}\\ = \frac{{315}}{{672}} - \frac{{112}}{{672}} + \frac{{192}}{{672}} = \frac{{395}}{{672}}\end{array}\)

\[\begin{array}{l}\frac{5}{{13}}:\frac{2}{7} - \frac{1}{4}\\ = \frac{{35}}{{26}} - \frac{1}{4}\\ = \frac{{70}}{{52}} - \frac{{13}}{{52}} = \frac{{57}}{{52}}\end{array}\]

\[\begin{array}{l}\frac{6}{7} - \frac{1}{3}:\frac{5}{8}\\ = \frac{6}{7} - \frac{8}{{15}}\\ = \frac{{90}}{{105}} - \frac{{56}}{{105}} = \frac{{34}}{{105}}\end{array}\]

\(\begin{array}{l}\frac{5}{{12}}:\frac{2}{7} \times \frac{3}{5} + \frac{1}{8}\\ = \frac{{35}}{{24}} \times \frac{3}{5} + \frac{1}{8}\\ = \frac{{21}}{8} + \frac{1}{8} = \frac{{22}}{8} = \frac{{11}}{4}\end{array}\)

\[\begin{array}{l}\frac{2}{3} \times \frac{4}{{11}} + \frac{5}{{12}}\\ = \frac{8}{{33}} + \frac{5}{{12}}\\ = \frac{{96}}{{396}} + \frac{{165}}{{396}} = \frac{{261}}{{396}} = \frac{{87}}{{132}}\end{array}\]

\(\begin{array}{l}\frac{2}{9} \times \frac{5}{6} + \frac{3}{{14}}\\ = \frac{{10}}{{54}} + \frac{3}{{14}}\\ = \frac{{70}}{{378}} + \frac{{81}}{{378}} = \frac{{151}}{{378}}\end{array}\)