\(\frac{17}{21}\cdot\frac{48}{53}+\frac{17}{21}\cdot\frac{4}{53}+\frac{52}{53}\cdot\frac{4}{21}\)

\(=\frac{17}{21}\left(\frac{48}{53}+\frac{4}{53}\right)+\frac{52}{53}\cdot\frac{4}{21}\)

\(=\frac{17}{21}\cdot\frac{52}{53}+\frac{52}{53}\cdot\frac{4}{21}\)

\(=\frac{52}{53}\left(\frac{17}{21}+\frac{4}{21}\right)\)

\(=\frac{52}{53}\cdot1\)

\(\frac{17}{21}.\frac{48}{53}+\frac{17}{21}.\frac{4}{53}+\frac{52}{53}.\frac{4}{21}\)

= \(\frac{17}{21}.\left(\frac{48}{53}+\frac{4}{53}\right)+\frac{52}{53}.\frac{4}{21}\)

= \(\frac{17}{21}.\frac{52}{53}+\frac{52}{53}.\frac{4}{21}\)

=\(\frac{52}{53}.\left(\frac{17}{21}+\frac{4}{21}\right)\)

= \(\frac{52}{53}\)

ko phải toán lớp 6

5) 24*(15+49)+12*(50+42)

=24*64+12*92

=24*64+12*2*46

=24*64+24*46

=24*(64+46)

=24*110

=2640

7) 53*(  51+4)+53*(49+96)+53

=53*55+53*145+53

=53*(55+145)+53

=53*200+53

10600+53

=10653

a,  5 3 + 3 4 + 4 . 2 + 27 - 3 : 4

= 125+170+6

= 301

b,  124 : 3 2 . 7 - 1 10 + 24 : 5 2

= 124:[9.7–(1+24):25]

= 124 : [63–25:25]

= 124:62

= 2

c,  245 - 4 16 : 8 + 2 4 . 3 2 - 9

= 245–4[2+2.27]

= 245–4.45

= 29

d,  375 : 5 3 - 3 8 : 3 6 - 2 . 2 3

= 375 : 125 – (9–16)

= 3–9+16

= 10

a, vì 199<200;201>200 nên hai kq liền nhau

Mà 199x201 tận cùng là 9 200.200 tận cùng là 0 => A<B

tương tự b

Bài 1:

a, 2x + 35 = x - 27

    2x - x = -27 - 35

    x = -62

 b, 2x - 41 = 3x + (-23)

     2x - 3x = -23 + 41

     -x = 18

     x = -18

c, 4 . (x - 3) - 3 . (x - 5) = 45 . (-2) - 34

   4x - 12 - 3x + 15 = -90 - 34

   4x - 3x = -90 - 34 + 12 - 15

   x = -127

Bài 2:

- ( -1234 + 345 - 29 ) - ( 1234 + 135 - 59 )

= 1234 - 345 + 29 - 1234 - 135 + 59

= (1234 - 1234) - (345 + 135) + (29 + 59)

= 0 - 480 + 88

= -392

a)2x+35=x-27

2x-x=-27-35

1x=-62

x=-62:1

X=-62

1, a, 2x + 35 = x - 27 

<=> 2x - x = -27 - 35 

,<=> x = -72 

Vậy x = -72

b, 2x - 41 = 3x + ( - 23 )

<=> 2x - 3x = 41 - 23

<=> -1x = 18

<=> x = -18 

Vậy x = -18 

c, tương tự dùng phân phối .

2, = 1234 - 345 + 29 - 1234 - 135 + 59 

= ( 1234 - 1234 ) + ( -345 - 135 ) + ( 29 + 59 )

= 0 - 480 + 88 = -480 + 88 = -392

Biểu thức =\(\frac{15}{34}+\frac{4}{27}+\frac{19}{34}+\frac{23}{27}\)  ( rút gọn đó )

              =\(\left(\frac{15}{34}+\frac{19}{34}\right)+\left(\frac{4}{27}+\frac{23}{27}\right)\)

              =\(\frac{15+19}{34}+\frac{4+23}{27}\)= \(\frac{34}{34}+\frac{27}{27}\)

              = \(1+1=2\)

Oke nhá !!

=2.Hết gấp nha

bang 2

Bài 1: tính nhanh

a. 579 + 468 + 421 - 467

= (579  + 421) + (468 - 467)

= 1000 + 1

= 1001

b. 53 . 39 + 47 . 39 - 53 . 21 - 47 . 21

=   39 (53 + 47 ) -  21 (53  - 47) 

= 39 . 100 - 21 . 6 = 3900 -126

= 3774

cảm ơn bn đã trả lời 2 câu. mn giúp mik giải nốt nha ^^

a; \(\dfrac{2}{3}\)\(x\) - \(\dfrac{3}{2}\)\(x\) = \(\dfrac{5}{12}\)

    (\(\dfrac{2}{3}\) - \(\dfrac{3}{2}\))\(x\) = \(\dfrac{5}{12}\)

     - \(\dfrac{5}{6}\)\(x\) = \(\dfrac{5}{12}\)

     \(x\)   = \(\dfrac{5}{12}\) : (- \(\dfrac{5}{6}\))

     \(x=\) - \(\dfrac{1}{2}\)

Vậy \(x=-\dfrac{1}{2}\) 

b; \(\dfrac{2}{5}\) + \(\dfrac{3}{5}\).(3\(x\) - 3,7) = \(\dfrac{-53}{10}\)

           \(\dfrac{3}{5}\).(3\(x\) - 3,7) = \(\dfrac{-53}{10}\) - \(\dfrac{2}{5}\)

          \(\dfrac{3}{5}\).(3\(x\) - 3,7) = - \(\dfrac{57}{10}\)

         3\(x\) - 3,7 = - \(\dfrac{57}{10}\) : \(\dfrac{3}{5}\)

         3\(x\)   - 3,7 = - \(\dfrac{19}{2}\)

         3\(x\)         = - \(\dfrac{19}{2}\) + 3,7

          3\(x\)        = - \(\dfrac{29}{5}\)

           \(x\)         = - \(\dfrac{29}{5}\) : 3

           \(x\)        = - \(\dfrac{29}{15}\)

Vậy \(x\) \(\in\) - \(\dfrac{29}{15}\) 

c; \(\dfrac{7}{9}\) : (2 + \(\dfrac{3}{4}\)\(x\)) + \(\dfrac{5}{9}\) = \(\dfrac{23}{27}\)

    \(\dfrac{7}{9}\): (2 + \(\dfrac{3}{4}\)\(x\)) = \(\dfrac{23}{27}\) - \(\dfrac{5}{9}\)

     \(\dfrac{7}{9}\):(2 + \(\dfrac{3}{4}\)\(x\)) = \(\dfrac{8}{27}\)

      2 + \(\dfrac{3}{4}\)\(x\) = \(\dfrac{7}{9}\) : \(\dfrac{8}{27}\)

      2 + \(\dfrac{3}{4}\)\(x\) =  \(\dfrac{21}{8}\)

             \(\dfrac{3}{4}x\) = \(\dfrac{21}{8}\) - 2

             \(\dfrac{3}{4}\)\(x\) =  \(\dfrac{5}{8}\)

               \(x\) = \(\dfrac{5}{8}\) : \(\dfrac{3}{4}\)

              \(x\) =  \(\dfrac{5}{6}\)

Vậy \(x=\dfrac{5}{6}\)