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\(a.\)
\(\dfrac{17}{8}:\left(\dfrac{27}{8}+\dfrac{11}{2}\right)\)
\(=\dfrac{17}{8}:\left(\dfrac{27+44}{8}\right)=\dfrac{17}{8}:\dfrac{71}{8}=\dfrac{17}{8}\cdot\dfrac{8}{71}=\dfrac{17}{71}\)
\(b.\)
\(\dfrac{28}{15}\cdot\dfrac{1}{4^2}\cdot3+\left(\dfrac{8}{15}-\dfrac{69}{60}\cdot\dfrac{5}{23}\right):\dfrac{51}{54}\)
\(=\dfrac{28}{15}\cdot\dfrac{1}{4^2}\cdot3+\left(\dfrac{8}{15}-\dfrac{1}{4}\right):\dfrac{51}{54}\)
\(=\dfrac{28}{15}\cdot\dfrac{1}{4^2}\cdot3+\left(\dfrac{8\cdot4-15}{60}\right):\dfrac{51}{54}\)
\(=\dfrac{28}{15}\cdot\dfrac{1}{4^2}\cdot3+\dfrac{17}{60}:\dfrac{51}{54}\)
\(=\dfrac{28}{15}\cdot\dfrac{1}{16}\cdot3+\dfrac{17}{60}\cdot\dfrac{54}{51}\)
\(=\dfrac{7}{20}+\dfrac{3}{10}\)
\(=\dfrac{7+3\cdot2}{20}=\dfrac{13}{20}\)

mik ko ghi lại đề nhé!
\(A=\left(\frac{18}{15}.\frac{1}{4}.3\right)+\left(-\frac{47}{60}\right).\frac{24}{47}\)
\(A=\frac{8}{5}+\left(-\frac{2}{5}\right)\)
\(A=\frac{6}{5}\)
\(B=\frac{3}{4}.\frac{28}{15}-\left(\frac{8}{15}+\frac{1}{4}\right).\frac{24}{47}-\frac{17}{13}\)
\(B=\frac{7}{5}-\frac{47}{60}.\frac{24}{47}-\frac{17}{13}\)
\(B=\frac{7}{5}-\frac{2}{5}-\frac{17}{13}\)
\(B=1-\frac{17}{13}\)
\(B=-\frac{4}{13}\)
THANKS

a) (5x - 1) : 3 + 1 = 4
=> (5x - 1) : 3 = 3
=> (5x - 1) = 9
=> 5x - 1 = 9
=> 5x = 10
=> x = 2
b) 54 : (16 - x) - 1=5
=> 54:(16-x) = 6
=> 16-x = 9
=> x = 7

D:2=1/12+1/20+1/30+1/42+1/72
=1/3-1/4=1/4-1/5+1/5-1/6+1/6-1/7+1/8-1/9
=1/3-1/7+1/8-1/9
Bạn tự tính nốt nhé
bạn thiếu phân số \(\frac{1}{28}\)
D = \(\frac{2}{12}\)+ \(\frac{2}{20}\)+\(\frac{2}{30}\)+\(\frac{2}{42}\)+ \(\frac{2}{56}\)+\(\frac{2}{72}\)
D : 2 = \(\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+\frac{1}{6.7}+\frac{1}{7.8}+\frac{1}{8.9}\)
D : 2 = \(\frac{1}{3}-\frac{1}{9}=\frac{2}{9}\)=> D = \(\frac{4}{9}\)

a) \(0,2\cdot\dfrac{15}{36}-\left(\dfrac{2}{5}+\dfrac{2}{3}\right):1\dfrac{1}{5}\)
\(=\dfrac{1}{12}-\dfrac{16}{15}\cdot\dfrac{5}{6}\)
\(=\dfrac{1}{12}-\dfrac{8}{9}\)
\(=\dfrac{-29}{36}\)
b) \(1\dfrac{13}{15}\cdot0,75-\left(\dfrac{8}{15}+0,25\right)\cdot\dfrac{24}{27}\)
\(=\dfrac{28}{15}\cdot0,75-\dfrac{47}{60}\cdot\dfrac{24}{27}\)
\(=\dfrac{7}{5}-\dfrac{94}{135}\)
\(=\dfrac{19}{27}\)
c) \(5:\left(4\dfrac{3}{4}-1\dfrac{25}{28}\right)-1\dfrac{3}{8}:\left(\dfrac{3}{8}+\dfrac{9}{20}\right)\)
\(=5\cdot\dfrac{7}{20}-\dfrac{11}{8}\cdot\dfrac{40}{33}\)
\(=\dfrac{7}{4}-\dfrac{5}{3}\)
\(=\dfrac{1}{12}\)

#)Giải :
Bài 1 :
\(A=\frac{15}{6.16}+\frac{15}{16.26}+\frac{15}{26.36}\)
\(A=3\left(\frac{5}{6.16}+\frac{5}{16.26}+\frac{5}{26.36}\right)\)
\(A=3\left(\frac{1}{6}-\frac{1}{16}+\frac{1}{16}-\frac{1}{26}+\frac{1}{26}-\frac{1}{36}\right)\)
\(A=3\left(\frac{1}{6}-\frac{1}{36}\right)\)
\(A=3.\frac{5}{36}\)
\(A=\frac{15}{36}\)
\(B=\frac{33}{6.16}-\frac{63}{16.26}+\frac{93}{26.36}\)
\(B=\frac{3.11}{6.16}-\frac{3.21}{16.26}+\frac{3.31}{26.36}\)
\(B=\frac{1}{2.16}.11+\frac{1}{2.16}.\frac{3.21}{13}+\frac{3.31}{26.36}\)
\(B=\frac{1}{32}.\frac{143-63}{13}+\frac{3.31}{26.12.3}\)
\(B=\frac{1}{32}.\frac{80}{13}+\frac{31}{36.12}\)
\(B=\frac{5}{26}+\frac{31}{26.12}=\frac{60+31}{26.12}=\frac{91}{26.12}=\frac{13.7}{13.2.12}=\frac{7}{24}\)
Bài 2 :
a)\(28.157-28.267+28.10\)
\(=28\left(157-267+10\right)\)
\(=28.-100\)
\(=-2800\)
b)\(\left(-5\right).4.\left(-2\right).23.\left(-25\right)\)
\(=\left[4.\left(-25\right)\right].\left[\left(-5\right).2\right].23\)
\(=\left(-100\right).\left(-10\right).23\)
\(=23000\)
2)
28 . 157 - 28 .267 + 28.10
=28.( 157 - 267 + 10 )
= 28 . -100
= -2800
3)
[(-2).(-5)]. 4 .-25.23
= 10 . -100 .23
=-23000
còn câu 1 mik suy nghĩ đã

a: \(=\left(-\dfrac{25}{140}+\dfrac{245}{140}+\dfrac{32}{140}\right)\cdot\dfrac{-69}{20}\)
\(=\dfrac{252}{140}\cdot\dfrac{-69}{20}\)
\(=\dfrac{9}{5}\cdot\dfrac{-69}{20}=\dfrac{-621}{100}\)
b: \(=\left(6-2-\dfrac{4}{5}\right)\cdot\dfrac{25}{8}-\dfrac{8}{5}\cdot4\)
\(=\dfrac{16}{5}\cdot\dfrac{25}{8}-\dfrac{32}{5}=\dfrac{18}{5}\)
c: \(=\left(\dfrac{2}{24}+\dfrac{18}{24}+\dfrac{14}{24}\right):\dfrac{-17}{8}\)
\(=\dfrac{34}{24}\cdot\dfrac{-8}{17}=\dfrac{-1}{3}\cdot2=-\dfrac{2}{3}\)
\(\frac{28}{15}\) x \(\frac{1}{4^2}\) x 3 + (\(\frac{8}{15}\) - \(\frac{69}{60}\) x (-\(\frac{51}{54}\)))
= \(\frac{7}{60}\) x 3 + \(\frac{8}{15}\) + \(\frac{391}{360}\)
= \(\frac{7}{20}\) + \(\frac{8}{15}\) + \(\frac{391}{360}\)
= \(\frac{126}{360}\) + \(\frac{192}{360}\) + \(\frac{391}{360}\)
= \(\frac{318}{360}\) + \(\frac{391}{360}\)
= \(\frac{709}{360}\)