\(\frac{49}{3}+\frac{33}{5}+\frac{25}{7}+\frac{26}{3}+\frac{17}{7}+\frac{27}{5}\)

\(=\left(\frac{49}{3}+\frac{26}{3}\right)+\left(\frac{33}{5}+\frac{27}{5}\right)+\left(\frac{25}{7}+\frac{17}{7}\right)\)

\(=\frac{75}{3}+\frac{60}{5}+\frac{42}{7}\)

\(=15+12+6=33\)

(49/3+26/3)+(33/5+27/5)+(25/7+17/7)

12              +         6          +       25

= 43

ban sai roi 75 : 3 =25

   21*7^2 -11*7^2 +90*7^2 +49*125*16

=7^2* ( 21 -11+ 90 ) + 7^2* 2000

=7^2* 100 + 7^2* 2000

=7^2* ( 100+ 2000 )

=49*2100

=102900

đáp số là 41650

\(\dfrac{7}{19}x\dfrac{8}{23}+\dfrac{7}{19}x\dfrac{15}{23}+1\dfrac{7}{19}\)

= \(\dfrac{7}{19}x\left(\dfrac{8}{23}+\dfrac{15}{23}\right)+1+\dfrac{7}{19}\)

=\(\dfrac{7}{19}x1+1+\dfrac{7}{19}\)

= \(\dfrac{7}{19}+1+\dfrac{7}{19}=1\dfrac{14}{19}\) = \(\dfrac{33}{19}\)

\(\dfrac{75}{100}+\dfrac{18}{21}+\dfrac{49}{32}+\dfrac{1}{4}+\dfrac{3}{21}-\dfrac{17}{32}\)

=  \(\dfrac{3}{4}+\dfrac{6}{7}+\dfrac{49}{32}+\dfrac{1}{4}+\dfrac{1}{7}-\dfrac{17}{32}\)

= \(\left(\dfrac{3}{4}+\dfrac{1}{4}\right)+\left(\dfrac{6}{7}+\dfrac{1}{7}\right)+\left(\dfrac{49}{32}-\dfrac{17}{32}\right)\)

= 1 + 1 + 1 = 3

\(\dfrac{8}{9}x\dfrac{15}{16}x\dfrac{24}{25}x\dfrac{35}{36}x\dfrac{48}{49}x\dfrac{63}{64}\)

= \(\dfrac{3}{4}\) *Câu này bạn tự sử dụng gạch nhé!

`1,`

`a,`

`7/19 \times 8/23 + 7/19 \times 15/23 + 1 7/19`

`= 7/19 \times 8/23 + 7/19 \times 15/23 + 1 + 7/19`

`= 7/19 \times (8/23 + 15/23 + 1) + 1`

`= 7/19 \times 2 + 1`

`=14/19 + 1`

`= 33/19`

`b,`

`75/100 + 18/21 + 49/32 + 1/4 + 3/21 - 17/32`

`= 75/100 + (18/21 + 3/21) + (49/32 - 17/32) + 1/4`

`= 0,75 + 1 + 1 + 0,25`

`= (0,75 + 0,25) + 1 + 1`

`= 1+1+1=3`

`c,`

`8/9 \times 15/16 \times 24/25 \times 35/36 \times 48/49 \times 63/64`

`=` \(\dfrac{2\times3}{3\times3}\times\dfrac{3\times5}{4\times4}\times\dfrac{3\times4\times2}{5\times5}\times\dfrac{5\times7}{6\times6}\times\dfrac{6\times8}{7\times7}\times\dfrac{7\times9}{8\times8}\)

`= 3/4` (bạn sử dụng gạch, rút gọn các số là được nhé).

a, 568 + 568 x 135 - 568 x 36

= 568 x ( 1 + 135 - 36)

= 568 x 100

56 800

b, 17 x 49 + 49 x 37 + 54 x 26 + 54 x 25

=  49 x ( 17 + 37) + 54 x ( 26 + 25 )

= 49 x 54 + 54 x 51

= 54 x ( 49 + 51)

= 54 x 100

= 5 400

c,   14 x 35 x 5 + 10 x 25 x 7 + 20 x 70

 =    ( 2 x 35) x ( 7 x 5)  + ( 10 x 7) x 25 + 20 x 70

= 70 x 35 + 70 x 25 + 20 x 70

= 70 x ( 35 + 25 + 20)

= 70 x 80

= 5 600 

a) 568 + 568 x 135 - 568 x 36

= 568 x ( 1+1+135-1-36 )

=568 x 100

=5680

b) 17 x 49 + 49 x 37 + 54 x 26 + 54 x 25

= 49 x ( 17 + 37 ) + 54 x ( 26 + 25 )

= 49 x 54 + 54 x 51

= 54 x ( 49 + 51 )

= 54 x 100

= 5400

c) 14 x 35 x 5 + 10 x 25 x 7 + 20 x 70

= 70 x 35 + 10 x 25 x 7+ 20 x 70

= 70 x 35 + 250 x 7 + 20 x 70

= 70 x 35 + 70 x 25 + 20 x 70

= 70 x (35+25+20)

= 70 x 80

= 5600

\(\frac{7}{5}-\frac{13}{49}=\frac{343}{245}-\frac{65}{245}=\frac{278}{245}\)

6.S = 3.5.6 + 5.7.6 + 7.9.6 + ...+ 47.49.6

6S = 3.5.(7 - 1) + 5.7.(9 - 3) + 7.9.(11 - 5) + ....+ 47.49.(51 - 45)

6S = 3.5.7 - 1.3.5 + 5.7.9 - 3.5.7 + 7.9.11 - 5.7.9 +...+ 47.49.51 - 45.47.49

6S = -1.3.5 + (3.5.7 - 3.5.7) + (5.7.9 - 5.7.9) + ....+ (45.47.49 - 45.47.49) + 47.49.51

6S = -1.3.5 + 47.49.51 => S = \(\frac{-15+47.49.51}{6}=19573\)

*) Chú ý: Nhân biểu thức cần tính với 3 lần khoảng cách giữa các số để xuất hiện các số hạng đối nhau

a,( 3⁹³+3⁹⁰) : (3¹⁷. 3⁷³)

= (3³+1). 3⁹⁰ : 3⁹⁰

= 3³+1

=27+1

=28

b,(5⁵⁶+5⁷) : (5⁴⁹+1)

=5⁷. (5⁴⁹+1) : (5⁴⁹+1)

=5⁷= 78125

c,(7²²+7²¹+7²⁰) ; (2⁵+2⁴+3²)

= 7²⁰. (7²+7¹+1) : [2⁴. (2+1)+3² ]

= 7²⁰. 57 : [ 2⁴. 3 +3² ]

= 7²⁰. 57 :  ( 2⁴+3) . 3

= 7²⁰. 57 :  19 . 3

= 7²⁰. 57 : 57

= 7²⁰