a: \(=\dfrac{-3}{7}+\dfrac{15}{26}-\dfrac{2}{13}+\dfrac{3}{7}=\dfrac{15}{26}-\dfrac{4}{26}=\dfrac{11}{26}\)

b: \(=\dfrac{6}{7}+\dfrac{2}{9}-\dfrac{10}{7}-5=\dfrac{-4}{7}-5+\dfrac{2}{9}=-\dfrac{337}{63}\)

c: \(=-\dfrac{11}{23}\left(\dfrac{6}{7}+\dfrac{8}{7}\right)-\dfrac{1}{23}=\dfrac{-22}{23}-\dfrac{1}{23}=-1\)

b/\(1\frac{2}{9}\)

Bài 1:

a) \(-\frac{3}{7}+\frac{15}{26}-\left(\frac{2}{13}-\frac{3}{7}\right)\)

\(=-\frac{3}{7}+\frac{15}{26}-\frac{4}{26}+\frac{3}{7}\)

\(=\left(-\frac{3}{7}+\frac{3}{7}\right)+\left(\frac{15}{26}-\frac{4}{26}\right)\)

\(=0+\frac{11}{26}\)

\(=\frac{11}{26}\)

b)\(2\frac{3}{7}+\frac{2}{9}-1\frac{3}{7}\)

\(=\frac{17}{7}+\frac{2}{9}-\frac{10}{7}\)

\(=\left(\frac{17}{7}-\frac{10}{7}\right)+\frac{2}{9}\)

\(=1+\frac{2}{9}\)

\(=1\frac{2}{9}=\frac{11}{9}\)

c)\(\left(\frac{377}{-231}-\frac{124}{89}+\frac{34}{791}\right).\left(\frac{1}{6}-\frac{1}{8}-\frac{1}{24}\right)\)

\(=\left(\frac{377}{-231}-\frac{124}{89}+\frac{34}{791}\right).\left(\frac{4}{24}-\frac{3}{24}-\frac{1}{24}\right)\)

\(=\left(\frac{377}{-231}-\frac{124}{89}+\frac{34}{791}\right).0\)

\(=0\)

\(B1:\)  \(a,\frac{-3}{7}+\frac{15}{26}-\frac{2}{13}+\frac{3}{7}\)

= \(\left(\frac{15}{26}-\frac{2}{13}\right)+\left(\frac{3}{7}+\frac{-3}{7}\right)\)

= \(\frac{11}{26}+0=\frac{11}{26}\)

\(b,2\frac{3}{7}-1\frac{3}{7}+\frac{2}{9}\)

= \(1+\frac{2}{9}=1\frac{2}{9}\)

\(c,\left(\frac{377}{-231}-\frac{124}{89}+\frac{34}{791}\right).\left(\frac{4}{24}-\frac{3}{24}-\frac{1}{24}\right)\)

= \(\left(\frac{377}{-231}-\frac{124}{89}+\frac{34}{791}\right).0=0\)

\(B2:\)\(a,\frac{1}{2}.\left(\frac{2}{9}+\frac{3}{12}-\frac{5}{27}\right)\)

= \(\frac{1}{2}.\left(\frac{17}{36}-\frac{5}{27}\right)\)

= \(\frac{1}{2}.\left(\frac{31}{108}\right)\)

= \(\frac{31}{216}\)

b, \(\left(1\frac{4}{5}\right):-3\frac{9}{20}\)

= \(\frac{-12}{23}\)

c, \(\frac{5}{21}-2\frac{11}{14}\)

= \(-2\frac{23}{42}\)

d, \(70\frac{1}{2}-70\frac{2}{5}\)

= \(1\frac{1}{704}\)

B1:

a,\(\frac{-3}{7}+\frac{15}{26}-\left(\frac{2}{13}-\frac{3}{7}\right)\)

\(\Rightarrow\frac{-3}{7}+\frac{15}{26}-\frac{2}{13}+\frac{3}{7}\)

\(\Rightarrow\left(\frac{-3}{7}+\frac{3}{7}\right)+\frac{15}{26}-\frac{4}{26}\)

\(\Rightarrow\frac{15}{26}-\frac{4}{26}\)

=\(\frac{11}{26}\)

b,\(\frac{23}{7}+\frac{2}{9}-\frac{13}{7}\)

\(=\frac{23}{7}-\frac{13}{7}+\frac{2}{9}\)

\(=\frac{10}{7}+\frac{2}{9}\)

\(=\frac{104}{63}\)

c,\(\left(\frac{377}{-231}-\frac{124}{89}+\frac{34}{791}\right).\left(\frac{1}{6}-\frac{1}{8}-\frac{1}{24}\right)\)

\(=\left(\frac{377}{-231}-\frac{124}{89}+\frac{34}{791}\right).0\)

\(=0\)

1)

\(2.\frac{3}{7}+\left(\frac{2}{9}-1\frac{3}{7}\right)-\frac{5}{3}:\frac{1}{9}\)

\(=\frac{6}{7}+\frac{2}{9}-\frac{10}{7}-\frac{5}{3}.9\)

\(=\left(\frac{6}{7}-\frac{10}{7}\right)+\frac{2}{9}-15\)

\(=\frac{-4}{7}+\frac{2}{9}-\frac{15}{1}\)

\(=\frac{-36}{63}+\frac{14}{63}-\frac{945}{63}\)

\(=\frac{-967}{63}\)

2)

\(-\frac{11}{23}.\frac{6}{7}+\frac{8}{7}.\frac{-11}{23}-\frac{1}{23}\)

\(=\frac{-11}{23}\left(\frac{6}{7}+\frac{8}{7}\right)-\frac{1}{23}\)

\(=\frac{-11}{23}.2-\frac{1}{23}\)

\(=\frac{-22}{23}-\frac{1}{23}\)

\(=\frac{-23}{23}\)

\(=-1\)

3)

\(\left(\frac{377}{-231}-\frac{123}{89}+\frac{34}{791}\right).\left(\frac{1}{6}-\frac{1}{8}-\frac{1}{24}\right)\)

\(=\left(\frac{377}{-231}-\frac{123}{89}+\frac{34}{791}\right).\left(\frac{4}{24}-\frac{3}{24}-\frac{1}{24}\right)\)

\(=\left(\frac{377}{-231}-\frac{123}{89}+\frac{34}{791}\right).\frac{0}{24}\)

\(=\left(\frac{377}{-231}-\frac{123}{89}+\frac{34}{791}\right).0\)

\(=0\)

Khó thế =)

\(=\left(\dfrac{377}{-231}-\dfrac{123}{89}+\dfrac{34}{791}\right)\cdot\left(\dfrac{4}{24}-\dfrac{3}{24}-\dfrac{1}{24}\right)=0\)

a) \(\frac{-3}{7}+\frac{15}{26}-\left(\frac{2}{13}-\frac{3}{7}\right)=\frac{-3}{7}+\frac{15}{26}-\frac{2}{13}+\frac{3}{7}=\left(\frac{-3}{7}+\frac{3}{7}\right)+\left(\frac{15}{26}-\frac{2}{13}\right)\)

\(=\frac{15-4}{26}=\frac{11}{26}\)

c) \(\frac{-11}{23}.\frac{6}{7}+\frac{8}{7}.\frac{-11}{23}-\frac{1}{23}=\frac{-11}{23}.\left(\frac{6}{7}+\frac{8}{7}\right)-\frac{1}{23}\)

\(=\frac{-11}{23}.2-\frac{1}{23}=\frac{-22-1}{23}=\frac{-23}{23}=-1\)

d) Đặt \(\frac{377}{-231}-\frac{123}{89}+\frac{34}{791}=A\)

Ta có: \(A.\left(\frac{1}{6}-\frac{1}{8}-\frac{1}{24}\right)=A.\left(\frac{4-3-1}{24}\right)=A.0=0\)