a) \(\frac{7}{15}+\frac{9}{10}+\frac{8}{15}-\frac{-1}{10}-\frac{20}{10}+\frac{1}{157}\)

\(=\frac{7}{15}+\frac{9}{10}+\frac{8}{15}+\frac{1}{10}-\frac{20}{10}+\frac{1}{157}\)

\(=\left(\frac{7}{15}+\frac{8}{15}\right)+\left(\frac{9}{10}+\frac{1}{10}\right)-2+\frac{1}{157}\)

\(=1+1-2+\frac{1}{157}\)

\(=2-2+\frac{1}{157}\)

\(=0+\frac{1}{157}=\frac{1}{157}\)

b) \(\frac{1}{13}+\frac{16}{7}+\frac{3}{105}-\frac{9}{7}-\frac{-12}{13}\)

\(=\frac{1}{13}+\frac{16}{7}+\frac{1}{35}-\frac{9}{7}+\frac{12}{13}\)

\(=\left(\frac{1}{13}+\frac{12}{13}\right)+\left(\frac{16}{7}-\frac{9}{7}\right)+\frac{1}{35}\)

\(=1+1+\frac{1}{35}\)

\(=2+\frac{1}{35}\)

\(=\frac{70}{35}+\frac{1}{35}=\frac{71}{35}\)

b) \(\frac{12}{19}.\frac{7}{15}.\frac{-13}{17}.\frac{19}{12}.\frac{17}{13}=\frac{12}{19}.\frac{19}{12}.\frac{-13}{17}.\frac{17}{13}.\frac{7}{15}=1.\left(-1\right).\frac{7}{15}=\frac{-7}{15}\)

\(-\frac{5}{7}.\frac{2}{11}+-\frac{5}{7}.\frac{9}{14}+\frac{12}{7}=-\frac{5}{7}.\left(\frac{2}{11}+\frac{9}{14}\right)+\frac{12}{7}=-\frac{5}{7}.\frac{127}{154}+\frac{12}{7}=-\frac{635}{1078}+\frac{12}{7}=\frac{1213}{1078}\)

\(\frac{12}{19}.\frac{7}{15}.-\frac{13}{17}.\frac{19}{12}.\frac{17}{13}=\left(\frac{12}{19}.\frac{19}{12}\right).\left(-\frac{13}{17}.\frac{17}{13}\right).\frac{7}{15}=1.-1.\frac{7}{15}=-\frac{7}{15}\)

ta có;

b=8/3.2/5.3/8.10.19/92

b=16/15.3/8.10.19/92

b=2/5.10.19/92

b=4.19/92

b=19/23

c=-5/7.2/7+-5/7 . 9/14+1/5/7

c=-10/49+(-45)/98+1/5/5

c=131/98

34 −35 +37 +311 134 −135 +137 +1311

 \(=\frac{3.\left(\frac{1}{4}-\frac{1}{5}+\frac{1}{7}+\frac{1}{11}\right)}{13.\left(\frac{1}{4}-\frac{1}{5}+\frac{1}{7}+\frac{1}{11}\right)}\)

\(=\frac{3}{13}\)

\(a,\frac{7}{12}\cdot\frac{6}{11}+\frac{7}{12}\cdot\frac{5}{11}+2\frac{7}{12}\)

\(=\frac{7}{12}\cdot\left(\frac{6}{11}+\frac{5}{11}\right)+2\frac{7}{12}\)

\(=\frac{7}{12}+\frac{31}{12}\)

\(=\frac{38}{12}=\frac{19}{6}\)

\(b,\frac{-5}{9}\cdot\frac{-6}{13}+\frac{5}{-9}\cdot\frac{-5}{13}-\frac{5}{9}\)

\(=\frac{-5}{9}\cdot\frac{-6}{13}+\frac{-5}{9}\cdot\frac{-5}{13}+\frac{-5}{9}\cdot1\)

\(=\frac{-5}{9}\cdot\left(\frac{-6}{13}+\frac{-5}{13}+1\right)\)

\(=\frac{-5}{9}\cdot\left(\frac{-11}{13}+1\right)\)

\(=\frac{-5}{9}\cdot\frac{2}{13}\)

\(=\frac{-10}{117}\)

\(c,\)\(0,8\cdot\frac{-15}{14}-\frac{4}{5}\cdot\frac{13}{14}-1\frac{2}{5}\)

\(=\frac{4}{5}\cdot\frac{-15}{14}-\frac{4}{5}\cdot\frac{13}{14}-\frac{7}{5}\)

\(=\frac{4}{5}\cdot\left(\frac{-15}{14}-\frac{13}{14}\right)-\frac{7}{5}\)

\(=\frac{4}{5}\cdot\left(-2\right)-\frac{7}{5}\)

\(=\frac{-8}{5}-\frac{7}{5}\)

\(=-3\)

\(d,\)\(75\%\cdot\frac{6}{7}+5\%\cdot\frac{6}{7}+\frac{7}{10}\cdot1\frac{1}{7}\)

\(=\frac{3}{4}\cdot\frac{6}{7}+\frac{1}{20}\cdot\frac{6}{7}+\frac{7}{10}\cdot\frac{8}{7}\)

\(=\left(\frac{3}{4}+\frac{1}{20}\right)\cdot\frac{6}{7}+\frac{7}{10}\cdot\frac{8}{7}\)

\(=\frac{4}{5}\cdot\frac{6}{7}+\frac{4}{5}\cdot1\)

\(=\frac{4}{5}\cdot\left(\frac{6}{7}+1\right)\)

\(=\frac{4}{5}\cdot\frac{13}{7}\)

\(=\frac{52}{35}\)

a)7/12.6/11+7/12.5/11-2.7/12

=7/12(6/11+5/11-2)

=7/12(1-2)

=7/12.(-1)

=-7/12

\(\frac{1}{7}.\frac{15}{13}+\frac{5}{13}.\frac{12}{7}-\frac{1}{7}.\frac{10}{3}\)

=\(\frac{1}{7}.\frac{15}{13}+\frac{1}{7}.\frac{5}{13}.12-\frac{1}{7}.\frac{10}{3}\)

=\(\frac{1}{7}\left(\frac{15}{13}+\frac{60}{13}+\frac{10}{3}\right)\)

=\(\frac{1}{7}\left(\frac{75}{13}-\frac{10}{3}\right)=\frac{1}{7}.\left(\frac{75.3-13.10}{39}\right)=\frac{1}{7}.\frac{95}{39}\)

=\(\frac{95}{273}\)

\(\frac{1}{7}.\frac{15}{13}+\frac{5}{13}.\frac{12}{7}-\frac{1}{7}.\frac{10}{3}\)

= \(\frac{1}{7}.\frac{15}{13}+\frac{5.12}{13}.\frac{1}{7}-\frac{1}{7}.\frac{10}{3}\)

= \(\frac{1}{7}.\left(\frac{15}{13}+\frac{60}{13}\right)-\frac{1}{7}.\frac{10}{3}\)

= \(\frac{1}{7}.\frac{75}{13}-\frac{10}{21}\)

= \(\frac{75}{91}-\frac{10}{21}\)

= \(\frac{95}{273}\)

\(\frac{1}{7}.\frac{15}{13}+\frac{5}{13}.\frac{12}{7}-\frac{1}{7}.\frac{10}{3}\)

= \(\frac{1}{7}.\frac{15}{13}+\frac{1}{7}.\frac{5}{13}.12-\frac{1}{7}.\frac{10}{3}\)

= \(\frac{1}{7}.\left(\frac{15}{13}+\frac{60}{13}-\frac{10}{3}\right)\)

= \(\frac{1}{7}.\left(\frac{75}{13}-\frac{10}{3}\right)\)

= \(\frac{1}{7}.\frac{95}{39}\)

= \(\frac{95}{273}\).

Chúc bạn học tốt!