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Bài 1:
a: \(=\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{8}+\dfrac{1}{8}-\dfrac{1}{12}+\dfrac{1}{12}-\dfrac{1}{17}\)
=1/3-1/17
=4/51
b: \(=\left(2+3+4+...+23\right)+0.3\cdot22\)
=(23+2)*(23-2+1)/2+6,6
=275+6,6
=281,6
Câu đầu:
12/5 - X x 3/4 =5/4
X x 3/4 =12/5 - 5/4 ra X x 3/4 = 23/20 , X = 23/20 : 3/4 ,X=23/15
Câu hai:
X : 3/5 + 3/8 =15/8
X : 3/5 =15/8 - 3/8 ra X : 3/5 = 15/8 , X= 15/8 x 3/5,X= 9/8
\(\frac{15}{8}\)+\(\frac{7}{12}\)-\(\frac{13}{3}\)x\(\frac{3}{8}\)
=\(\frac{45}{24}\)+\(\frac{14}{24}\)-\(\frac{13}{8}\)
=\(\frac{59}{24}\)-\(\frac{39}{24}\)
=\(\frac{20}{24}\)=\(\frac{5}{6}\)
\(\frac{11}{5}\)+\(\frac{5}{22}\):2+\(\frac{5}{6}\)
=\(\frac{11}{5}\)+\(\frac{5}{44}\)+\(\frac{5}{6}\)
=\(\frac{484}{220}\)+\(\frac{25}{220}\)+\(\frac{5}{6}\)
=\(\frac{509}{220}\)+\(\frac{5}{6}\)
=\(\frac{1527}{660}\)+\(\frac{550}{660}\)
=\(\frac{2077}{660}\)
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
a. 128 - 3 x (X + 2) = 23
3 x (X + 2) = 128 - 23
X + 2 = 105 : 3
X = 35 - 2
X = 33
b. (12 x X - 64) x 8 = 4,64
12 x X - 64 = 4,64 : 8
12 x X = 0,58 + 64
X = 64,58 : 12
X = \(\frac{3229}{600}\)
c. [(4 x X + 28) x 3 + 55] : 5 = 35
[(4 x X + 28) x 3 + 55] = 35 x 5
(4 x X + 28) x 3 = 175 - 55
4 x X + 28 = 120 : 3
4 x X = 40 - 28
X = 12 : 4
X = 3
d. 720 : [41 - (2 x X - 5)] = 8 x 5
41 - (2 x X - 5) = 720 : (8 x 5)
2 x X - 5 = 41 - 18
2 x X = 23 + 5
X = 28 : 2
X = 14
x nhỏ : dấu nhân
X lớn : X
4 + x = 7 - 2x
4 + x + 2x = 7
4 + 3x = 7
3x = 7 - 4
3x = 3
x = 3 : 3
x =1
5 + x = 8,3 + 4,7 - x
5 + x + x = 8,3 + 4,7
5 + 2x = 13
2x = 13 - 5
2x = 8
x = 8 : 2
x= 4
\(\dfrac{3}{8}\times\dfrac{5}{12}+\dfrac{5}{8}\times\dfrac{5}{12}\)
\(=\dfrac{5}{12}\times\left(\dfrac{3}{8}+\dfrac{5}{8}\right)\)
\(=\dfrac{5}{12}\times1\)
\(=\dfrac{5}{12}\)
3/8 x 5/12 + 5/8 x 5/12
= 5/12 x (3/8 + 5/8 )
= 5/12 x 1
= 5/12