a,    6/7+5/9+8/7-2/9=(6/7+8/7)+(5/9-2/9)=14/7+3/9=2+1/3=7/3

b, 5+7/3=22/3

a/ \(\frac{6}{7}+\frac{5}{9}+\frac{8}{7}-\frac{2}{9}\)

= \(\left(\frac{6}{7}+\frac{8}{7}\right)+\left(\frac{5}{9}-\frac{2}{9}\right)\)

=  \(2+\frac{1}{3}\)

= \(\frac{7}{3}\)

b/ 5+\(2\frac{1}{3}\)

= 5 + \(\frac{7}{3}\)

= \(\frac{22}{3}\)

a) \(\frac{-5}{8}\cdot\left(\frac{4}{9}+\frac{-7}{12}\right)\)

\(=\frac{-5}{8}\cdot\frac{-5}{36}\)

\(=\frac{25}{288}\)

b) \(\left(-3,2\right)\cdot\frac{-15}{64}+\left(0,8-2\frac{4}{5}\right):3\frac{1}{2}\)

\(=\frac{3}{4}+\left(-2\right):\frac{7}{2}\)

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

\(=\frac{5}{28}\)

=))

a, 3 \(\frac{14}{19}\)+ \(\frac{13}{17}\)+ \(\frac{35}{43}\)+ 6\(\frac{5}{19}\)+ \(\frac{8}{43}\)= \(\left(3\frac{14}{19}+6\frac{5}{19}\right)+\left(\frac{35}{43}+\frac{8}{43}\right)+\frac{13}{17}=\)\(9+1+\frac{13}{17}=8+\frac{13}{17}=8\frac{13}{17}\)

b, \(\frac{-5}{7}.\frac{2}{11}+\frac{-5}{7}.\frac{9}{11}+1\frac{5}{7}\)\(=\frac{-5}{7}\left(\frac{2}{11}+\frac{9}{11}\right)+1\frac{5}{7}\)\(=\frac{-5}{7}.1+1\frac{5}{7}\)\(=\frac{-5}{7}+\frac{12}{7}=\frac{7}{7}=1\)

Chúc bn học tốt

\(3\frac{14}{19}+\frac{13}{17}+\frac{35}{43}+6\frac{5}{19}+\frac{8}{43}\)

\(=\left(3\frac{14}{19}+6\frac{5}{19}\right)+\left(\frac{35}{43}+\frac{8}{43}\right)+\frac{13}{17}\)

\(=10+1+\frac{13}{17}=11+\frac{13}{17}=11\frac{13}{17}\)

1a) \(\frac{2}{3}x-\frac{3}{2}x=\frac{5}{12}=>\left(\frac{2}{3}-\frac{3}{2}\right)x=\frac{5}{12}\) 

      \(\left(\frac{4}{6}-\frac{9}{6}\right)x=\frac{5}{12}=>\frac{-5}{6}x=\frac{5}{12}\)

       \(x=\frac{5}{12}:\frac{-5}{6}=>x=\frac{5}{12}.\frac{-6}{5}=>x=\frac{-1}{2}\)

b)\(\frac{-2}{3}x+\frac{1}{5}=\frac{3}{10}=>\frac{-2}{3}x=\frac{3}{10}-\frac{1}{5}\)

  \(\frac{-2}{3}x=\frac{3}{10}-\frac{2}{10}=>\frac{-2}{3}x=\frac{1}{10}\)

   \(x=\frac{1}{10}:\frac{-2}{3}=>x=\frac{1}{10}.\frac{-3}{2}=>x=\frac{-3}{20}\)

2a)\(\frac{1}{3}.\frac{5}{7}-\frac{7}{27}.\frac{36}{14}=\frac{1}{3}.\frac{5}{7}-\frac{7}{27}.\frac{18}{7}=\frac{1.5}{3.7}-\frac{7.18}{27.7}=\frac{5}{21}-\frac{1.2}{3.1}=\frac{5}{21}-\frac{2}{3}\)
\(\frac{5}{21}-\frac{14}{21}=\frac{-9}{21}=\frac{-3}{7}\)

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

\(0+\left(\frac{15}{26}-\frac{4}{26}\right)=0+\frac{11}{26}=\frac{11}{26}\)

a)\(\frac{2}{3}+\frac{3}{4}+\frac{5}{6}\)

\(=\frac{8+9+10}{12}\)

\(=\frac{27}{12}=\frac{9}{4}\)

b)\(\frac{15}{8}-\frac{7}{12}+\frac{5}{6}\)

\(=\frac{45-14+20}{24}\)

\(=\frac{51}{24}=\frac{17}{8}\)

2)

a)\(\frac{2}{5}+\frac{7}{13}+\frac{3}{5}+\frac{1}{7}\)

\(=\frac{2}{5}+\frac{3}{5}+\frac{7}{13}+\frac{1}{7}\)

\(=1+\frac{7}{13}+\frac{1}{7}\)

\(=\frac{20}{13}+\frac{1}{7}\)

\(=\frac{153}{91}\)

Tí tớ trả lời tiếp

b)\(5\frac14+3\frac25-4\frac14\)

=\(\left(5\frac14-4\frac14\right)+3\frac25\)

=\(\left\lbrack\left(5-4\right)+\left(\frac14-\frac14\right)\right\rbrack+\frac{17}{5}\)

=\(1+0+\frac{17}{5}\)

=\(\frac55+\frac{17}{5}\)

=\(\frac{22}{5}\)