Ta có A = \(\dfrac{1}{42}+\dfrac{1}{56}+\dfrac{1}{72}+\dfrac{1}{90}+\dfrac{1}{110}+\dfrac{1}{132}\)

= \(\dfrac{1}{6\cdot7}+\dfrac{1}{7\cdot8}+\dfrac{1}{8\cdot9}+\dfrac{1}{9\cdot10}+\dfrac{1}{10\cdot11}+\dfrac{1}{11\cdot12}\)

= \(\dfrac{1}{6}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{8}+\dfrac{1}{8}-\dfrac{1}{9}+\dfrac{1}{9}-\dfrac{1}{10}+\dfrac{1}{10}-\dfrac{1}{11}+\dfrac{1}{11}-\dfrac{1}{12}\)

= \(\dfrac{1}{6}-\dfrac{1}{12}=\dfrac{1}{12}\) 

B = \(\dfrac{\dfrac{2}{29}-\dfrac{2}{39}+\dfrac{2}{49}}{\dfrac{23}{29}-\dfrac{23}{39}+\dfrac{23}{49}}=\dfrac{2\left(\dfrac{1}{29}-\dfrac{1}{39}+\dfrac{1}{49}\right)}{23\left(\dfrac{1}{29}-\dfrac{1}{39}+\dfrac{1}{49}\right)}=\dfrac{2}{23}\) 

Lại có \(\dfrac{2}{23}>\dfrac{2}{24}=\dfrac{1}{12}\) hay A < B

Vậy A < B

Cảm ơn bạn nhé!

`16/27xx13/29+16/27xx14/29`

`=16/27xx(13/29+14/29)`

`=16/27xx27/29`

`=16/29`

`48/49+15/39-18/49+15/39`

`=(48/49-18/49)+(15/39+15/39)`

`=30/49+30/39`

`=880/637`

542 287 : 43 = 12.611,32558139535

56 278 + 48 782 = 105.060

46 826 - 5 631 = 263.677.206

53+23-45+93+39+49-33+98-34= 243

54x34x67x09x45x93x30x29x38x37x092x94= 4,901237024733219e+19

áp dụng kiến thức tính nhanh ý

1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30+31+32+33+34+35+36+37+38+39+40+41+42+43+44+45+46+47+48+49+50=1275

= 1275

=1275

=1245

Có ai rảnh đâu mà đi ngồi cộng ngần đấy số ra.

a) Ta có \(\dfrac{23}{27}>\dfrac{23}{29};\dfrac{23}{29}>\dfrac{22}{29}\)

Vậy \(\dfrac{23}{27}>\dfrac{22}{29}\)

b) Ta có \(\dfrac{15}{25}=1-\dfrac{2}{5}\)

\(\dfrac{25}{49}=1-\dfrac{24}{49}\)

Vì \(\dfrac{2}{5}=\dfrac{24}{60}< \dfrac{24}{49}\)

Vậy \(\dfrac{15}{25}>\dfrac{25}{49}\)

23/27 lớn hơn 22/29

15/25 lớn hơn 25/49

\(a,30\cdot6+30\cdot71+20\cdot30\)

=\(30\cdot\left(6+71+20\right)\)

=\(30\cdot97=2910\)

\(b,24\cdot\left(31+119\right)+76\cdot\left(29+121\right)\)

=\(24\cdot150+76\cdot150\)

=\(150\cdot\left(24+76\right)\)

=\(150\cdot100\)

=\(15000\)

\(c,87\cdot23+70\cdot87+43\cdot93\)

=\(87\cdot\left(23+87\right)+43\cdot93\)

=\(87\cdot110+3999\)

=\(9570+3999\)

=13569

a) 15 . 6 . 2 + 3 . 71 . 10 + 20 . 30 

= ( 15 . 2 ) . 6 + ( 3 . 10 ) . 71 + 20 . 30

= 30 . 6 + 30 . 71 + 20 . 30 

= 30 . ( 6 + 71 + 30 ) 

= 30 . 107

= 3210

b) 24 . 31 + 24 . 119 + 76 . 29 + 76 . 121 

= 24 . ( 31 + 119 ) + 76 . ( 29 + 121 )

= 24 . 150 + 76 . 150 

= 150 . ( 24 + 76 ) 

= 150 . 100 

= 15 000

c) 87 . 23 + 43 . 93 + 70 . 87 

= 87 . 23 + 70 . 87 + 43 . 93 

= 87 . ( 23 + 70 ) + 43 . 93 

= 87 . 93 + 43 . 93 

= 93 . ( 87 + 43 ) 

= 93 . 130 

= 12 090

a) 15 . 6 . 2 + 3 . 71 . 10 + 20 . 30

= 30 . 6 + 30 . 71 + 30 . 20

= 30 . (6 + 71 + 20) = 30 . 97 = 2910

b) 24 . 31 + 24 . 119 + 76 . 29 + 76 . 121

= 24 . (31 + 119) + 76 . (29 + 121)

= 24 . 150 + 76 . 150 = 150 . (24 + 76)

= 150 . 100

= 15000

c) 87 . 23 + 43 . 93 + 70 . 87

= 43 . 93 + 87 . (23 + 70)

= 43 . 93 + 87 . 93

= 93 . (43 + 87)

= 93 . 130

= 12090

a) |-15+6| = |-9| = 9

b) |-25 + (-17)| = |-42| =  42

c) | -36 +  15| = |-21| = 21

d) |-21 + 49| = | 48| = 48

e) |-21+49| = |48| = 48 

g) |43 + (-28) | = | 15|  = 15

h) |-23 + 33|  = |10| = 10

i) |-46 + (-29) | = | -75| = 75