(2/3.5/7 + 2/3: 7/2). -1/3

=(10/21 + 2/3x2/7 ) . -1/3

=(10/21 + 4/21) . -1/3

=-10/63 - 4/63

=-14/63

(2/3.5/7+2/3:7/2)-1/3

=(2/3.5/7+2/3x2/7)-1/3

=[2/3.(5/7+2/7)]-1/3

=[2/3x1]-1/3

=2/3-1/3

=1/3

HT

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

\(\left(\frac{2}{3}\times\frac{5}{7}+\frac{2}{3}\times\frac{2}{7}\right)\times\left(-\frac{1}{3}\right)\)

\(\frac{2}{3}\left(\frac{5}{7}+\frac{2}{7}\right)\times\left(-\frac{1}{3}\right)\)

\(\frac{2}{3}\times\left(-\frac{1}{3}\right)\)

\(-\frac{2}{9}\)

\(\frac{3}{5}.\left(\frac{5}{3}-\frac{2}{7}\right)-\left(\frac{7}{3}-\frac{3}{7}\right).\frac{3}{5}\)

\(=\frac{3}{5}.\text{[}\left(\frac{5}{3}-\frac{2}{7}\right)-\left(\frac{7}{3}-\frac{3}{7}\right)\text{]}\)

\(=\frac{3}{5}.\text{[}\frac{5}{3}-\frac{2}{7}-\frac{7}{3}+\frac{3}{7}\text{]}\)

\(=\frac{3}{5}.\text{[}\left(\frac{5}{3}-\frac{7}{3}\right)-\left(\frac{2}{7}-\frac{3}{7}\right)\text{]}\)

\(=\frac{3}{5}.\text{[}\frac{-2}{3}-\frac{-1}{7}\text{]}\)

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

\(=\frac{3}{5}.\left(\frac{-14}{21}+\frac{3}{21}\right)\)

\(=\frac{3}{5}.\frac{-11}{21}\)

\(=\frac{3.\left(-11\right)}{5.21}\)

\(=\frac{-11}{5.7}=\frac{-11}{35}\)

Chúc bạn học tốt

Câu 9

a) 2/15 + (-3/5)

= 2/15 - 3/5

= 2/15 - 9/15

= -7/15

b) -5/7 + 3/7 . (-2/9)

= -5/7 - 2/21

= -15/21 - 2/21

= -17/21

c) 5/16 - (7/15 - 3/16) + 17/30

= 5/16 - 7/15 + 3/16 + 17/30

= (5/16 + 3/16) + (17/30 - 14/30)

= 1/2 + 1/10

= 5/10 + 1/10

= 6/10

= 3/5

\(a,\dfrac{2}{15}+\left(-\dfrac{3}{5}\right)\\ =\dfrac{2}{15}-\dfrac{3}{5}\\ =\dfrac{2}{15}-\dfrac{9}{15}\\ =-\dfrac{7}{15}\\ b,-\dfrac{5}{7}+\dfrac{3}{7}\times\left(-\dfrac{2}{9}\right)\\ =-\dfrac{5}{7}-\dfrac{2}{21}\\ =-\dfrac{15}{21}-\dfrac{2}{21}\\ =-\dfrac{17}{21}\\ c,\dfrac{5}{16}-\left(\dfrac{7}{15}-\dfrac{3}{16}\right)+\dfrac{17}{30}\\ =\dfrac{5}{16}-\dfrac{7}{15}+\dfrac{3}{16}+\dfrac{17}{30}\\ =\left(\dfrac{5}{16}+\dfrac{3}{16}\right)-\left(\dfrac{17}{15}+\dfrac{17}{30}\right)\\ =\dfrac{1}{2}-\dfrac{17}{10}\\ =\dfrac{5}{10}-\dfrac{17}{10}\\ =-\dfrac{6}{5}.\)

a,\(\frac{7}{10}\cdot\frac{4}{9}+\frac{3}{10}\cdot\frac{4}{9}-1\frac{7}{9}\)

\(=\frac{14}{45}+\frac{2}{15}-\frac{16}{9}\)

\(=\frac{14}{45}+\frac{6}{45}-\frac{80}{45}\)

\(=\frac{-60}{45}=\frac{-4}{3}\)

b,\(\frac{-5}{6}+\frac{4}{9}\cdot\left(\frac{5}{4}-\frac{2}{3}\right)\cdot\left(-3\right)^2+\frac{5}{9}\cdot30\%\)

\(=\frac{-5}{6}+\frac{4}{9}\cdot\left(\frac{7}{12}\right)\cdot9+\frac{5}{9}\cdot\frac{3}{10}\)

\(=\frac{-5}{6}+\frac{7}{3}+\frac{1}{6}\)

\(=\frac{-5}{6}+\frac{14}{6}+\frac{1}{6}\)

=\(=\frac{10}{6}=\frac{5}{3}\)

#)Trả lời :

a)   \(\frac{-1}{2}+\frac{2}{7}-\frac{5}{28}\)

    \(=\frac{-3}{14}-\frac{5}{28}\)

    \(=\frac{-11}{28}\)

b)  \(5\frac{3}{4}+\left(\frac{1}{9}-1\frac{3}{4}\right)\)

   \(=\left(5\frac{3}{4}-1\frac{3}{4}\right)+\frac{1}{9}\)

   \(=4+\frac{1}{9}\)

   \(=4\frac{1}{9}=\frac{37}{9}\)

c)  \(\frac{-5}{7}x\frac{2}{11}+\frac{-5}{7}x\frac{9}{11}+3\frac{5}{7}\)

   \(=\frac{-5}{7}x\left(\frac{2}{11}+\frac{9}{11}\right)+3\frac{5}{7}\)

   \(=\frac{-5}{7}x1+3\frac{5}{7}\)

   \(=\frac{-5}{7}+3\frac{5}{7}\)

   \(=\frac{-5}{7}+\frac{26}{7}\)

   \(=\frac{21}{7}=3\)

            #~Will~be~Pens~#