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a) \(\dfrac{3}{8}+\dfrac{7}{12}+\dfrac{10}{16}+\dfrac{10}{24}\)
\(=\dfrac{3}{8}+\dfrac{7}{12}+\dfrac{5}{8}+\dfrac{5}{12}\)
\(=\left(\dfrac{3}{8}+\dfrac{5}{8}\right)+\left(\dfrac{7}{12}+\dfrac{5}{12}\right)\)
\(=1+1\)
\(=2\)
b) \(\dfrac{4}{6}+\dfrac{7}{13}+\dfrac{17}{9}+\dfrac{19}{13}+\dfrac{1}{9}+\dfrac{14}{6}\)
\(=\dfrac{2}{3}+\dfrac{7}{13}+\dfrac{17}{9}+\dfrac{19}{13}+\dfrac{1}{9}+\dfrac{7}{3}\)
\(=\left(\dfrac{2}{3}+\dfrac{7}{3}\right)+\left(\dfrac{7}{13}+\dfrac{19}{13}\right)+\left(\dfrac{17}{9}+\dfrac{1}{9}\right)\)
\(=3+2+2\)
\(=7\)
c) \(\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{20}+\dfrac{1}{30}+\dfrac{1}{42}+\dfrac{1}{56}\)
\(=\dfrac{1}{1\cdot2}+\dfrac{1}{2\cdot3}+\dfrac{1}{3\cdot4}+\dfrac{1}{4\cdot5}+\dfrac{1}{5\cdot6}+\dfrac{1}{6\cdot7}\)
\(=1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{6}+\dfrac{1}{6}-\dfrac{1}{7}\)
\(=1-\dfrac{1}{7}\)
\(=\dfrac{6}{7}\)
13 + 21.5 - (198 : 11 - 8)
= 13 + 105 - 10
= 108
272 : 16 - 5 +4 (30 - 5 - 255 : 17)
= 17 - 5 + 4. ( 30 - 5 - 15 )
= 16 . 10
= 160
15.24 - 14.5 (145 : 5 - 27)
= 360 - 70 ( 29 - 27 )
= 290 . 2
= 580
18.3 - 18.2 + 3 (51 : 17)
= 54 - 36 + 3 . 3
= 54 - 36 + 9
= 27
(64 + 115 + 36) - 25.8
= 215 - 200
= 15
15.8 - (17 - 30 + 83) - 144 : 6
= 120 - 70 - 24
= 26
250 : 50 - (46 - 75 + 54) : 5
= 5 - 25 : 5
= 5 - 5
= 0
13 (17 - 95 + 83) : 5 - 18 : 9
= 13. 5 : 5 - 2
= 65 : 5 - 2
= 13 - 2
= 11
140 - 180(47 - 90 + 43) + 7
= 140 - 180 . 0 + 7
= 140 + 7
= 147
24 (15 + 30 + 85 - 120):10
= 24. 10 : 10
= 240 : 10
= 24
27 + 73 - 30 : (25 -10)
= 27 + 73 - 30 : 15
= 27 + 73 - 2
= 98
18 - 4 (27 - 90 + 73) : 10
= 18 - 4. 10 : 10
= 18 - 40 : 10
= 18 - 4
= 14
Bài 2: Tính
140 - [ 25 : (4 mũ 2 - 11) + 4 ]
= 140 - [25 : (16 - 11) + 4 ]
= 140 - [ 25 : 5 + 4 ]
= 140 - [ 5 + 4]
= 140 - 9
= 131
a: =-5/11-6/11+1=-11/11+1=0
b: =-13/17-13/21-4/17=-1-13/21=-34/21
b: \(=-\dfrac{5}{12}\cdot\dfrac{9}{20}\cdot\dfrac{7}{17}=\dfrac{-21}{272}\)
d: \(=\dfrac{13}{17}\left(-\dfrac{4}{5}-\dfrac{3}{4}\right)=\dfrac{13}{17}\cdot\dfrac{-31}{20}=\dfrac{-403}{340}\)
1,
\(\dfrac{6}{7}\) + \(\dfrac{-5}{8}\) : (-5) -\(\dfrac{3}{16}\) . \(\left(-2\right)^2\)
= \(\dfrac{6}{7}\) + \(\dfrac{-5}{8}\) . \(\dfrac{-1}{5}\) - \(\dfrac{3}{16}\) . 4
= \(\dfrac{6}{7}\) + \(\dfrac{1}{8}\) - \(\dfrac{3}{4}\)
= \(\dfrac{48}{56}\) + \(\dfrac{7}{56}\) - \(\dfrac{42}{56}\)
= \(\dfrac{13}{56}\)
3,
a,\(\dfrac{3}{5}\)x - \(\dfrac{7}{10}\)x = \(\dfrac{-1}{2}\)
x.(\(\dfrac{3}{5}\) - \(\dfrac{7}{10}\)) = \(\dfrac{-1}{2}\)
x.\(\dfrac{-1}{10}\)= \(\dfrac{-1}{2}\)
x =\(\dfrac{-1}{2}\):\(\dfrac{-1}{10}\)
x = 5
c, (2,5x - 3,6) : \(\dfrac{15}{7}\) = -1
( \(\dfrac{5}{2}\)x - \(\dfrac{18}{5}\)) : \(\dfrac{15}{7}\) = -1
\(\dfrac{5}{2}\)x - \(\dfrac{18}{5}\) = -1 . \(\dfrac{15}{7}\)
\(\dfrac{5}{2}\)x - \(\dfrac{18}{5}\) = \(\dfrac{-15}{7}\)
\(\dfrac{5}{2}\)x = \(\dfrac{-15}{7}\) + \(\dfrac{18}{5}\)
\(\dfrac{5}{2}\)x = \(\dfrac{51}{35}\)
x =\(\dfrac{51}{35}\) : \(\dfrac{5}{2}\)
x = \(\dfrac{102}{175}\)
Mình không biết có chỗ nào sai không nữa.
Bài 1:
a: \(x=\dfrac{2}{3}:\dfrac{3}{5}=\dfrac{2}{3}\cdot\dfrac{5}{3}=\dfrac{10}{9}\)
b: \(x=\dfrac{17}{8}:\dfrac{7}{17}=\dfrac{17}{8}\cdot\dfrac{17}{7}=\dfrac{289}{56}\)
c: \(x=-\dfrac{3}{4}:\dfrac{7}{12}=\dfrac{-3}{4}\cdot\dfrac{12}{7}=\dfrac{-63}{28}=-\dfrac{9}{4}\)
d: \(\Leftrightarrow x\cdot\dfrac{1}{6}=\dfrac{3}{8}-\dfrac{1}{4}=\dfrac{1}{4}\)
hay \(x=\dfrac{1}{4}:\dfrac{1}{6}=\dfrac{3}{2}\)
e: \(\Leftrightarrow\dfrac{1}{2}:x=-4-\dfrac{1}{3}=-\dfrac{17}{3}\)
hay \(x=-\dfrac{1}{2}:\dfrac{17}{3}=\dfrac{-3}{34}\)
1)x=-30
2)x=-81
3)x=4
4)x=62
5)x=6
6)-13
7)-13
8)-31
9)x=-6;0;6;12
tk minh nha
Lời giải:
a)
\(2x+27=-11\)
\(2x=-11-27=-38\)
\(x=-38:2=-19\)
b)
\(3-(17-x)=-12\)
\(17-x=3-(-12)=15\)
\(x=17-15\)
\(x=2\)
c)
\(x+30\text{%}=-1,3\)
\(x=-1,3-30\text{%}=-1,3-0,3\)
\(x=-1,6\)
d)
\(x:\frac{-3}{5}=\frac{-10}{21}\)
\(x=\frac{-10}{21}\times \frac{-3}{5}\)
\(x=\frac{2}{7}\)
e)
\((x:4):\frac{1}{3}=-2,5\)
\(x:4=-2,5\times \frac{1}{3}=\frac{-5}{6}\)
\(x=-\frac{5}{6}\times 4\)
\(x=\frac{-10}{3}\)
f)
\(\frac{5}{4}:(7:x)=13\)
\(7:x=\frac{5}{4}:13=\frac{5}{52}\)
\(x=7:\frac{5}{52}\)
\(x=\frac{364}{5}\)
a: =1/6+17/6-4/13+30/13
=3+2
=5
b: =28,8:3,25*2,5
=72:3,25
=288/13