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1.
a.= (-5/24+3/4+7/12): -9/4
=(-5/24+18/24+14/24) . -4/9
= 9/8 .-4/9=-1/2
b. =(3/5+83/200-3/200).8/3 .1/4
=(120/200+83/200-3/200) .2/3
=1.2/3=2/3
2.
a. 1/3(2x-5)=-2/3-3/2
1/3(2x-5)=-13/6
2x-5=-13/2
2x=-3/2
x=-3/2:2=-3/4
b. 1/3x-1/2x=3/4
x(1/3-1/2)=3/4
x.1/6=3/4
x=9/2
a)\(\frac{-7}{25}.\frac{11}{13}+\frac{-7}{25}.\frac{2}{13}-\frac{18}{25}\)
\(=\frac{-7}{25}.\left(\frac{11}{13}+\frac{2}{13}\right)-\frac{18}{25}\)
\(=\frac{-7}{25}.1-\frac{18}{25}\)
\(=-\frac{7}{25}-\frac{18}{25}\)
\(=-1\)
b)\(\frac{5}{7}.\frac{1}{3}-\frac{5}{7}.\frac{1}{4}-\frac{5}{7}.\frac{1}{12}\)
\(=\frac{5}{7}.\left(\frac{1}{3}-\frac{1}{4}-\frac{1}{12}\right)\)
\(=\frac{5}{7}.\left(\frac{4}{12}-\frac{3}{12}-\frac{1}{12}\right)\)
\(=\frac{5}{7}.0\)
\(=0\)
a) \(22\frac{1}{2}\cdot\frac{7}{9}+50\%-1,25\)
\(=\frac{45}{2}\cdot\frac{7}{9}+\frac{50}{100}-\frac{125}{100}\)
\(=\frac{5}{2}\cdot\frac{7}{1}+\frac{1}{2}-\frac{5}{4}\)
\(=\frac{35}{2}+\frac{1}{2}-\frac{5}{4}=18-\frac{5}{4}=\frac{67}{4}\)
b) \(1,4\cdot\frac{15}{49}-\left(\frac{4}{5}+\frac{2}{3}\right):2\frac{1}{5}\)
\(=\frac{7}{5}\cdot\frac{15}{49}-\frac{22}{15}:\frac{11}{15}\)
\(=\frac{1}{1}\cdot\frac{3}{7}-\frac{22}{15}\cdot\frac{15}{11}\)
\(=\frac{3}{7}-2=\frac{3-14}{7}=\frac{-11}{7}\)
c) \(\left(-\frac{1}{2}\right)^2-\frac{7}{16}:\frac{7}{4}+75\%\)
\(=\frac{1}{4}-\frac{7}{16}\cdot\frac{4}{7}+\frac{75}{100}\)
\(=\frac{1}{4}-\frac{1}{4}+\frac{3}{4}=\frac{3}{4}\)
Bài 2 Bạn tự làm nhé
1.a,\(22\frac{1}{2}.\frac{7}{9}+50\%-1,25\)
\(=\frac{45}{2}.\frac{7}{9}+\frac{1}{2}-\frac{5}{4}\)
\(=\frac{35}{2}+\frac{1}{2}-\frac{5}{4}\)
\(=\frac{67}{4}\)
b,Các phép tính khác làm tương tự
Đổi các số ra hết thành phân số,có ngoặc thì lm ngoặc trc,Xoq đến nhân chia trước dồi mới cộng trừ
c,tương tự
2.
a,\(1\frac{3}{5}+\frac{7}{12}\div x=\frac{-9}{4}\)
\(\frac{8}{5}+\frac{7}{12}\div x=\frac{-9}{4}\)
\(\frac{7}{12}\div x=\frac{-77}{20}\)
Đến đây dễ bạn tự làm
b,\(\left(2\frac{4}{5}.x+50\right)\div\frac{2}{3}=-51\)
\(\left(\frac{14}{5}x+50\right)\div\frac{2}{3}=-51\)
\(\frac{14}{5}x+50=-34\)
\(\frac{14}{5}x=-84\)
Tự làm tiếp
c,\(\left|\frac{3}{4}.x-\frac{1}{2}\right|=\frac{1}{4}\)\(\Rightarrow\left|\frac{3}{4}x-\frac{1}{2}\right|=\varnothing\)
a) (x + 1/2) . (2/3 − 2x) = 0
\(\Rightarrow\left[\begin{array}{nghiempt}x+\frac{1}{2}=0\\\frac{2}{3}-2x=0\end{array}\right.\)
\(\Rightarrow\left[\begin{array}{nghiempt}x=-\frac{1}{2}\\2x=\frac{2}{3}\end{array}\right.\)
\(\Rightarrow\left[\begin{array}{nghiempt}x=-\frac{1}{2}\\x=\frac{1}{3}\end{array}\right.\)
b) \(\left(x.6\frac{2}{7}+\frac{3}{7}\right).2\frac{1}{5}-\frac{3}{7}=-2\)
\(\Rightarrow\left(x.\frac{44}{7}+\frac{3}{7}\right).\frac{11}{5}=-2+\frac{3}{7}\)
\(\Rightarrow\left(x.\frac{44}{7}+\frac{3}{7}\right).\frac{11}{5}=-\frac{11}{7}\)
\(\Rightarrow x.\frac{44}{7}+\frac{3}{7}=-\frac{11}{7}:\frac{11}{5}=-\frac{11}{7}.\frac{5}{11}\)
\(\Rightarrow x.\frac{44}{7}+\frac{3}{7}=-\frac{5}{7}\)
\(\Rightarrow x.\frac{44}{7}=-\frac{5}{7}-\frac{3}{7}\)
\(\Rightarrow x.\frac{44}{7}=-\frac{8}{7}\)
\(\Rightarrow x=-\frac{8}{7}:\frac{44}{7}=-\frac{8}{7}.\frac{7}{44}\)
\(\Rightarrow x=-\frac{2}{11}\)
c) \(x.3\frac{1}{4}+\left(-\frac{7}{6}\right).x-1\frac{2}{3}=\frac{5}{12}\)
\(\Rightarrow x\left(3\frac{1}{4}-\frac{7}{6}\right)=\frac{5}{12}+\frac{5}{3}\)
\(\Rightarrow x\left(\frac{13}{4}-\frac{7}{6}\right)=\frac{25}{12}\)
\(\Rightarrow x.\frac{25}{12}=\frac{25}{12}\)
\(\Rightarrow x=\frac{25}{12}:\frac{25}{12}\)
\(\Rightarrow x=1\)
d) \(5\frac{8}{17}:x+\left(-\frac{4}{17}\right):x+3\frac{1}{7}:17\frac{1}{3}=\frac{4}{11}\)
\(\Rightarrow\left(5\frac{8}{17}-\frac{4}{17}\right):x+\frac{22}{7}:\frac{52}{3}=\frac{4}{11}\)
\(\Rightarrow5\frac{4}{17}:x+\frac{33}{182}=\frac{4}{11}\)
\(\Rightarrow\frac{89}{17}:x=\frac{4}{11}-\frac{33}{182}\)
\(\Rightarrow\frac{89}{17}:x=\frac{365}{2002}\)
\(\Rightarrow x=\frac{89}{17}:\frac{365}{2002}\)
\(\Rightarrow x\approx28,7\) (số hơi lẻ)
e) \(\frac{17}{2}-\left|2x-\frac{3}{4}\right|=-\frac{7}{4}\)
\(\Rightarrow\left|2x-\frac{3}{4}\right|=\frac{17}{2}+\frac{7}{4}\)
\(\Rightarrow\left|2x-\frac{3}{4}\right|=\frac{41}{4}\)
\(\Rightarrow\left[\begin{array}{nghiempt}2x-\frac{3}{4}=\frac{41}{4}\\2x-\frac{3}{4}=-\frac{41}{4}\end{array}\right.\)
\(\Rightarrow\left[\begin{array}{nghiempt}2x=11\\2x=-\frac{19}{2}\end{array}\right.\)
\(\Rightarrow\left[\begin{array}{nghiempt}x=\frac{11}{2}\\x=-\frac{19}{4}\end{array}\right.\)
Bài 1a
- \(\frac45\) : \(\frac87\)
= - \(\frac45\) x \(\frac78\)
= - \(\frac{7}{10}\)
Bài 1b:
- \(\frac38\). \(\frac79\) + \(\frac{-3}{8}\).\(\frac29\) + 0,25
= - \(\frac38\).(\(\frac79+\frac29\)) + 0,25
= - \(\frac38\). 1 + 0,25
= - 0,375 + 0,25
= - 0,125
Bài 1:
Câu a:
2/3.(x -5/6) + 1/4 = 22/9
2/3.(x -5/6) = 22/9 - 1/4
2/3.(x -5/6) = 79/36
x - 5/6 = 79/36 : 2/3
x - 5/6 = 79/24
x = 5/6 + 79/24
x = 33/8
Vậy x = 33/8








Câu 1a:
75% - 1 1/2 + 0,5 : 5/12 - (-1/2)^2
= 0,75 - 1,5 + 0,5 x 12/5 - 0,25
= (0,75 - 0,25) - 1,5 + 1,2
= 0,5 - 1,5 + 1,2
= - 1 + 1,2
= 0,2
Bài 1b:
(5/7.0,6 - 5: 3 1/2). (40% - 1,4).(-2)^3
= (3/7 - 5 x 2/7).(0,4 - 1,4).8
= - 1.(-1).8
= 8
Bài 2:
(-4/5 + 4/3) + (-5/4 + 14/5) - 7/3
= -4/15 + 4/3 - 5/4 + 14/5 - 7/3
= (-4/15 + 14/5) + (4/3 - 7/3) - 5/4
= 2 - 1 - 5/4
= 1 - 5/4
= - 1/4
Bài 3a:
-2/3 - 1/3.(2x -5) = 3/2
-1/3.(2x - 5) = 3/2 + 2/3
-1/3.(2x - 5) = 13/6
-2x + 5 = 13/6 : 1/3
- 2x + 5 = 13/2
-2x = 13/2 - 5
-2x = 3/2
-x = 3/2 : 2
x = -3/4
Vậy x = - 3/4
Bài 3b:
2/5x + 1/2 = -3/4
2/5x = -3/4 - 1/2
2/5x = -5/4
x = -5/4 : 2/5
x = -25/8
Vậy x = - 25/8
Bài 3c:
1/3x - 8 = 1/2
1/3x = 1/2 + 8
1/3x = 17/2
x = 17/2 : 1/3
x = 51/2
Vậy x = 51/2
Bài 3d:
x - 1/4 = 5/8.2/3
x - 1/4 = 5/12
x = 5/12 + 1/4
x = 2/3
Vậy x = 2/3
Bài 4a
(3/4x + 2 1/2).(-2/3) = 1/8
(3/4x + 5/2).(-2/3) = 1/8
3/4x + 5/2 = 1/8 : (-2/3)
3/4x + 5/2 = - 3/16
3/4x = - 3/16 - 5/2
3/4x = -43/16
x = -43/16 : 3/4
x = -43/12
Vậy x = -43/12
Câu 4b:
1/3x - 0,5 = 0,75
1/3x = 0,75 + 0,5
1/3x= 1,25
x = 1,25 : 1/3
x = 15/4
Vậy x = 15/4
Câu 5a:
2/5 + 3/5.(3x - 3,7) = - 53/10
0,4 + 0,6.(3x - 3,7) = - 5,3
0,6(3x - 3,7) = - 5,3 - 0,4
0,6(3x - 3,7) = - 5,7
3x - 3,7 = - 5,7 : 0,6
3x - 3,7 = - 9,5
3x = - 9,5 + 3,7
3x = - 5,8
x = - 5,8 : 3
x = -29/15
Vậy x = -29/15
Câu 5b:
5,2x + 7 2/5 = 6 3/4
5,2x + 7,4 = 6,75
5,2x = 6,75 - 7,4
5,2x = -0,65
x = -0,65 : 5,2
x = - 0,125
Vậy x = - 0,125
Câu 5x
2,4 : (-1/2 - x) = 1 3/5
-1/2 - x = 2,4 : 1 3/5
- 1/2 - x = 2,4 x 5/8
- 1/2 - x = 3/2
x = - 1/2 - 3/2
x = - 2
Vậy x = -2
Câu 6:
(x - 5).30/100 = 20x/100 + 5
30x/100 - 150/100 = 20x/100 + 5
3x/10 - 3/2 = x/5 + 5
3x/10 - x/5 = 3/2 + 5
3x/10 - 2x/10 = 3/2 + 5
x/10 = 13/2
x = 13/2 x 10
x = 65
Vậy x = 65