A

a

D

D

a) \(\dfrac{3}{4}-\dfrac{1}{8}=\dfrac{6}{8}-\dfrac{1}{8}=\dfrac{6-1}{8}=\dfrac{5}{8}\)

b) \(\dfrac{2}{6}-\dfrac{5}{18}=\dfrac{6}{18}-\dfrac{5}{18}=\dfrac{6-5}{18}=\dfrac{1}{18}\)

c) \(\dfrac{2}{5}-\dfrac{3}{20}=\dfrac{8}{20}-\dfrac{3}{20}=\dfrac{8-3}{20}=\dfrac{5}{20}=\dfrac{1}{4}\)

Cái này chỉ cần làm quy tắc nhân chéo là ra rồi nhé :)

a) \(x=\dfrac{-2,6.42}{-12}\)=9,1

b) x = \(\dfrac{2,5.12}{1.5}\) = 20

c) Nhân chéo: 7.(x-1) = 6.(x+5)

<=> 7x - 7 = 6x +30

<=> 7x - 6x = 7 + 30 (chuyển vế)

-> x = 37

d) Nhân chéo: 25x² = 24.6 = 144

x² = \(\dfrac{144}{25}\)=5,76

-> x = \(\sqrt{5,76}\) = 2,4

e) Nhân chéo: (x-2)² = 4.9 = 36

Ta dễ thấy (x-2)² = 6²

-> x-2 = 6 -> x = 6+2 = 8

TICK NHÉ :)

\(\dfrac{x-2}{-1,2}=\dfrac{-5}{2}\Rightarrow x=\dfrac{-5.\left(-1,2\right)}{2}+2=\dfrac{6}{2}+2=3+2=5\\ \dfrac{-6}{x+1}=\dfrac{1,8}{9}\Rightarrow x=\dfrac{-6.9}{1,8}-1=\dfrac{-54}{1,8}-1=-30-1=-31\\ \dfrac{-3}{x}=\dfrac{x}{-12}\Rightarrow x=\sqrt{\left(-12\right).\left(-3\right)}=\sqrt{36}=\sqrt{\left(\pm6\right)^2}=\pm6\)

\(\dfrac{x-4}{x-1}=\dfrac{3}{5}\\ \Rightarrow5\left(x-4\right)=3\left(x-1\right)\\ \Leftrightarrow5x-20=3x-3\\ \Leftrightarrow5x-3x=-3+20\\ \Leftrightarrow2x=17\\ \Leftrightarrow x=\dfrac{17}{2}\\ ---\\ \dfrac{1,12}{-10}=\dfrac{11,2}{x}\Rightarrow x=\dfrac{11,2.\left(-10\right)}{1,12}=\dfrac{10.1,12.\left(-10\right)}{1,12}=-100\)

B

C nha

a) Ta có: \(a\left(-\dfrac{3}{2}\right)+a\cdot\dfrac{1}{4}-a\cdot\dfrac{5}{6}\)

\(=a\left(-\dfrac{3}{2}+\dfrac{1}{4}-\dfrac{5}{6}\right)\)

\(=a\left(\dfrac{-18}{12}+\dfrac{3}{12}-\dfrac{10}{12}\right)\)

\(=a\cdot\dfrac{-25}{12}\)(1)

Thay \(a=\dfrac{3}{5}\) vào biểu thức (1), ta được:

\(\dfrac{3}{5}\cdot\dfrac{-25}{12}=\dfrac{-75}{60}=\dfrac{-5}{4}\)

a) Ta có: $a\left(-\frac{3}{2}\right)+a\cdot \frac{1}{4}-a\cdot \frac{5}{6}$

$=a\left(-\frac{3}{2}+\frac{1}{4}-\frac{5}{6}\right)$

$=a\left(\frac{-18}{12}+\frac{3}{12}-\frac{10}{12}\right)$

$=a\cdot \frac{-25}{12}$(1)

Thay $a=\frac{3}{5}$ vào biểu thức (1), ta được:

$\frac{3}{5}\cdot \frac{-25}{12}=\frac{-75}{60}=\frac{-5}{4}$

Mình đang cần gấp!☹

Đ V T H

a: \(=\dfrac{-6}{11}:\dfrac{3\cdot11}{4\cdot5}=\dfrac{-6}{11}\cdot\dfrac{20}{33}=\dfrac{-2}{11}\cdot\dfrac{20}{11}=\dfrac{-40}{121}\)

b: \(=\dfrac{7}{12}+\dfrac{5}{72}-\dfrac{11}{36}=\dfrac{42}{72}+\dfrac{5}{72}-\dfrac{22}{72}=\dfrac{25}{72}\)

c: \(=\dfrac{13}{10}:\dfrac{-5}{13}=\dfrac{-169}{50}\)