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\(x+\dfrac{2}{3}=\dfrac{15}{6}\times\dfrac{9}{5}\)
\(x+\dfrac{2}{3}=\dfrac{5}{3}\times\dfrac{9}{5}\)
\(x+\dfrac{2}{3}=\dfrac{9}{3}\)
\(x=\dfrac{9}{3}-\dfrac{2}{3}\)
\(x=\dfrac{7}{3}\)
______________
\(\dfrac{15}{2}-x=\dfrac{7}{4}+\dfrac{5}{2}\)
\(\dfrac{15}{2}-x=\dfrac{7}{4}+\dfrac{10}{4}\)
\(\dfrac{15}{2}-x=\dfrac{17}{4}\)
\(x=\dfrac{15}{2}-\dfrac{17}{4}\)
\(x=\dfrac{30}{4}-\dfrac{17}{4}\)
\(x=\dfrac{13}{4}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có:
A = 1 + 3 + 5 + 7 +... + 101
A = \(\frac{102.51}{2}=2601\)
M = 16 - 18 + 20 - 22 + 24 - 26 + .. + 64 - 66 + 68
M = ( 16 - 18 ) + ( 20 - 22 ) + ( 24 - 26 ) + ... + ( 64 - 66 ) + 68
M = (- 2 + - 2 + -2 + ... + - 2 ) + 68
M = 25/2 . ( - 2 ) + 68
M = -25 + 68
M = 43
H = ( 1 + 2 + 3 +...+ 99 ) x ( 13 x 15 - 12 x 15 - 15 )
H = ( 1 + 2 + 3 +...+ 99 ) x { (13 - 12 - 1) x 15 }
H = ( 1 + 2 + 3 +...+ 99 ) x 0
H = 0
G = 1 + 2 - 3 - 4 + 5 + 6 - 7 - 8 + 9 + 10 - 11 - 12 + 13 + 14 - ... + 301 + 302
G = ( 1 + 2 ) + ( -3 - 4 ) + ( 5 + 6 ) + ( -7 - 8 ) + ( 9 + 10 ) + ( - 11 - 12 ) + ( 13 + 14 ) -...+ ( 301 + 302 )
G = ( 3 - 7 ) + ( 11 - 15 ) + ( 19 - 23 ) + 27 - ... + 603
G = -4 + - 4 + -4 + 27 - ... + 603
G = 75 x ( -4 ) + 603
G = -300 + 603
G = 303
2.
a) 1 + 2 + 3 + 4 +...+ 99 + 100 + 2 x X = 5052
= > \(\frac{100.101}{2}\)+ 2 x X = 5052
= > 5050 + 2 x X = 5052
= > 2X = 2
= > X = 1
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A) 1000000 - 107492 : 154 x 28 + 1000
= 1000000 - 19544 + 1000
= 981456
B) 8/15 + 4/7 + 14/30 + 12/21 + 5
= 15/7 + 5
= 50/7
C) 9/13 : 6/11 - 5/12 : 6/11
= 9/13 x 11/6 - 5/12 x 11/6
= (9/13 - 5/12) x 11/6
= 43/156 x 11/6
= 473/936
Bài 2
1) X x2 + X x 1/5 = 8/5
X x (2 + 1/5 ) = 8/5
X x 11/5 = 8/5
X = 8/5 x 5/11
X = 8/11
2) X : 3/8 = 4/3 : 3/6
X : 3/8 = 8/3
X = 8/3 x 3/8
X = 1
a) 1 000 000 - 107 492 : 154 x 28 + 1000
= 1 000 000 - 698 x 28 + 1000
= 1 000 000 - 19544 + 1000
= 980 456 + 1000
= 981 456
b) 8/15 + 4/7 + 14/30 + 12/21 + 5
= ( 8/15 + 14/30 ) + ( 4/7 + 12/21 ) + 5
= ( 16/30 + 14/30 ) + ( 12/21 + 12/21 ) + 5
= 30/30 + 24/21 + 5
= 1 + 24/21 + 5
= ( 1 + 5 ) + 24/21
= 6 + 24/21
= 150/21
= 50/7
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\(x+\dfrac{2}{3}=\dfrac{9}{11}\Rightarrow x=\dfrac{9}{11}-\dfrac{2}{3}=\dfrac{5}{33}\\ x-\dfrac{3}{10}=\dfrac{4}{15}\Rightarrow x=\dfrac{4}{15}+\dfrac{3}{10}=\dfrac{17}{30}\\ x\times\dfrac{1}{7}=\dfrac{5}{6}\Rightarrow x=\dfrac{5}{6}:\dfrac{1}{7}=\dfrac{35}{6}\\ x:\dfrac{3}{5}=\dfrac{1}{6}\Rightarrow x=\dfrac{1}{6}\times\dfrac{3}{5}=\dfrac{1}{10}\)
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a) 3/5x7/8:10/9=21/40:10/9=189/400
b) 3 2/7x2 1/4:1 2/5=23/7x9/4:7/5=207/28:7/5=1035/196
c) 6/9+24/15+12/9+6/15=34/15+12/9+6/15=18/5+6/15=4
d) 3 2/9-( 1 5/8+1 2/9 )=29/9-(13/8+11/9)=29/9-205/72=3/8
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\(5\frac{4}{9}+x-7\frac{7}{18}=15\frac{3}{4}\)
\(\frac{49}{9}+x-\frac{133}{18}=\frac{63}{4}\)
\(\frac{49}{9}+x=\frac{833}{36}\)
\(x=\frac{637}{36}\)
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Đặt A=1 / 1 x 3 + 2 / 3 x 7 + 1 / 7 x 9 + 3 / 9 x 15 + 6 / 15 x 27
2A=2 / 1 x 3 + 4 / 3 x 7 + 2 / 7 x 9 + 6 / 9 x 15 + 12 / 15 x 27
2A=1-1/3+1/3-1/7+1/7-1/9+1/9-1/15+1/15-1/27
2A=1-1/27
2A=26/27
A=13/27
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x - 5 / 6 = 12 / 7
x = 12 / 7 + 5 / 6
x = 107 / 42
x + 4 / 5 = 8 / 3
x = 8 / 3 - 4 / 5
x = 28 / 15
x * 3 / 9 = 11 / 7 - 3 / 4
x * 3 / 9 = 23 / 28
x = 23 / 28 : 3 / 9
x = 69 / 28
5 / 9 : x = 1 / 3 + 2 / 5
5 / 9 : x = 11 / 15
x = 5 / 9 : 11 / 15
x = 25 / 33
\(1\frac{3}{4}-x=\frac{3}{8}\)
x = 11 / 8
15 , 21 - x = 5 , 6 + 1 , 2
15 , 21 - x = 6 , 8
x = 15 , 21 - 6 , 8
x = 8 , 41
C1 : ( 6 , 75 + 3 , 25 ) * 42
= 10 * 42
= 420
C 2 : ( 6 , 75 + 3 , 25 ) * 42
= 6,75 * 42 + 3,25 * 42
= 283 , 5 + 136 , 5
= 4200
C 1 : ( 9 , 6 - 4 , 2 ) * 3 , 6
= 5 , 4 * 3 , 6
= 19 , 44
C 2 : ( 9 , 6 - 4 , 2 ) * 3 , 6
= 9 , 6 * 3 , 6 - 4 , 2 * 3 , 6
= 34 , 56 - 15 , 12
= 19 , 44
\(\frac{x+15}{6}=\frac{9}{2}\)
\(\frac{x+15}{6}=\frac{27}{6}\)
\(\frac{x}{6}=\frac{27-15}{6}\)
\(\frac{x}{6}=\frac{12}{6}\)
\(x=12\)
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\(\frac{x-3}{4}=\frac{7}{2}\)
\(\frac{x-3}{4}=\frac{14}{4}\)
\(\frac{x}{4}=\frac{14-3}{4}\)
\(\frac{x}{4}=\frac{11}{4}\)
\(x=11\)