a) (25x32) : 8           

= 25 x (4 x 8) : 8

= (25 x 4) x (8:8)

= 100 x 1

=100

b, 24 x 11 + 6 x 86 x 4 + 72

= 24 x 11 + (6 x 4) x 86 + 24 x 3

= 24 x 11 + 24 x 86 + 24 x 3

= 24 x (11+86+3)

= 24 x 100

= 2 400

\(\left(25\times32\right):8=25\times32:8=25\times\left(32:8\right)=25\times4=100\\ 24\times11+6\times86\times4+72\\ =24\times11+24\times86+24\times3\\ =24\times\left(11+86+3\right)\\ =24\times100=2400\\ 36\times5+9\times79\times4+72\times8\\ =36\times5+36\times79+36\times16\\ =36\times\left(5+79+16\right)\\ =36\times100=3600\\ \left(56\times125\right):7=56\times125:7=\left(56:7\right)\times125=8\times125=1000\)

\(\frac{5x8x24x27}{8x15x9x7}=\frac{5x8x24x9x3}{8x5x3x9x7}=\frac{24}{7}\)

Chúc bạn học tốt.

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Ta tính thuận tiện bằng cách phân tích các thừa số để bỏ thừa số chung:

\(\frac{5\text{x}8\text{x}24\text{x}27}{8\text{x}15\text{x}9\text{x}7}=\frac{5\text{x}8\text{x}3\text{x}8\text{x}3\text{x}3\text{x}3}{8\text{x}3\text{x}5\text{x}3\text{x}3\text{x}7}\)

\(=\frac{8\text{x}3}{7}\)

\(=\frac{24}{7}\)

24 x 55 + 12 x 88 + 24

= ( 24 x 55 ) + ( 12 x 88 ) + 24

= 1320 + 1056 + 24

= 2376 + 24

= 2400

_HT_

\(24\cdot55+12\cdot88+24\)

\(\Leftrightarrow\left(24\cdot55\right)+\left(24\cdot88:2\right)+24\)

\(\Rightarrow\left(24+55\right)+\left(24\cdot44\right)+24\)

\(\Leftrightarrow24\left(55+44+1\right)\)

\(\Leftrightarrow24\cdot100\)

\(\Leftrightarrow2400\)

=24*(7+3)

=24*10

=240

24 * 7 + 24 * 3 = 24 * ( 7 + 3 ) = 24 * 10 = 240 

24 x 7 + 24 x 3 

24 x ( 7 + 3 )

24 x 10

240

( 4/9 + 7/9 -  2/9 ) x 19/24  = 1 x 19/24 = 19/24

\(=\dfrac{19}{24}\times\left(\dfrac{4}{9}+\dfrac{7}{9}-\dfrac{2}{9}\right)=\dfrac{19}{24}\times1=\dfrac{19}{24}\)

\(\dfrac{19}{24}\times\left(\dfrac{4}{9}+\dfrac{7}{9}-\dfrac{2}{9}\right)\)

\(=\dfrac{19}{24}\times1=\dfrac{19}{24}\)

(4/11+7/11)*5/6

=1*5/6=5/6

5/6.(4/11+7/11)

=5/6.1

=5/6

5/6 x (4/11 + 7/11) = 5/6 x 1 = 5/6

1,

a,=4/7:4/9.3

=9/7.3

=27/7

b,=(7/11+4/11).5/6

=1.5/6

=5/6

`(6/7-2/7):4/9xx3=4/7xx9/4xx3=[4xx9xx3]/[7xx4]=27/7`

`7/11xx5/6+4/11xx5/6=(7/11+4/11)xx5/6=11/11xx5/6=5/6`

=(0,2+24)x5

=14

9/5 + 4/7 + 6/5 + 3/7

=  ( 9/5 + 6/5 ) + ( 4/7 + 3/7)

=            3        + 1

=        4

9/5 + 4/7 + 6/5 + 3/7 = (9/5 + 6/5) + (4/7 + 3/7)

= 15/5 + 7/7

= 3 + 1

= 4

1/2 x 45/33 x 1/9 x 11/6 = (1/2 x 1/9) x (45/33 x 11/6)

= 1/18 x 45/18

= 5/2

1/2 x 45/33 x 1/9 x 11/6

= (1/2 x 1/9) x (45/33 x 11/6)

= 1/18 x 45/18

= 5/2