1-1/2+1-1/6+1-1/12+1-1/20+1-1/30+1-1/42+1-1/56+1-1/72+1-1/90 

= 9 – (1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90) 

= 9 – [1/(1x2)+1/(2x3)+1/(3x4)+1/(4x5)+1/(5x6)+1/(6x7)+1/(7x8)+1/(8x9)+1/(9x10)]  

= 9 – ( 1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10)   

= 9 – (1 – 1/10)

= 9 – 9/10

= 81/10.

k mình nha

\(\frac{1}{2}+\frac{5}{6}+\frac{11}{12}+...+\frac{89}{90}\)

\(=\left(1-\frac{1}{2}\right)+\left(1-\frac{1}{6}\right)+\left(1-\frac{1}{12}\right)+...+\left(1-\frac{1}{90}\right)\)

\(=\left(1-\frac{1}{1.2}\right)+\left(1-\frac{1}{2.3}\right)+\left(1-\frac{1}{3.4}\right)+...+\left(1-\frac{1}{9.10}\right)\)

\(=\left(1+1+1+...+1\right)-\left(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{9.10}\right)\)

             có 9 số 1

\(=9-\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{9}-\frac{1}{10}\right)\)

\(=9-\left(1-\frac{1}{10}\right)\)

\(=9-\frac{9}{10}\)

\(=\frac{81}{10}\)

1-1/2+1-1/6+1-1/12+1-1/20+1-1/30+1-1/42+1-1/56+1-1/72+1-1/90 

= 9 – (1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90) 

= 9 – [1/(1x2)+1/(2x3)+1/(3x4)+1/(4x5)+1/(5x6)+1/(6x7)+1/(7x8)+1/(8x9)+1/(9x10)]  

= 9 – ( 1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10)   

= 9 – (1 – 1/10)

= 9 – 9/10

= 81/10.

k mình nha

1/2+5/6+11/12+19/20+29/30+41/42+55/56+71/72+89/90

 1-1/2+1-1/6+1-1/12+1-1/20+1-1/30+1-1/42+1-1/56+1-1/72+1-1/90 

= 9 – (1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90) 
= 9 – [1/(1x2)+1/(2x3)+1/(3x4)+1/(4x5)+1/(5x6)+1/(6x7)+1/(7x8)+1/(8x9)+1/(9x10)] 
= 9 – ( 1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10) 
= 9 – (1 – 1/10) = 9 – 9/10 = 81/10

1/2+5/6+11/12+19/20+29/30+41/42+55/56+71/72+89/90 

= 1-1/2+1-1/6+1-1/12+1-1/20+1-1/30+1-1/42+1-1/56+1-1/72+1-1/90 

= 9 – (1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90) 

= 9 – [1/(1x2)+1/(2x3)+1/(3x4)+1/(4x5)+1/(5x6)+1/(6x7)+1/(7x8)+1/(8x9)+1/(9x10)] 

= 9 – ( 1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10) 

= 9 – (1 – 1/10) = 9 – 9/10

= 81/10

= 8,1

81/10 nha bạn.

5/6 + 11/12 + 19/20 + ... + 109/110

= (1 - 1/6) + (1 - 1/12) + (1 - 1/20) + ... + (1 - 1/110)

= (1 - 1/2×3) + (1 - 1/3×4) + (1 - 1/4×5) + ... + (1 - 1/10×11)

= (1 + 1 + 1 + ... + 1) - (1/2×3 + 1/3×4 + 1/4×5 + ... + 1/10×11)

        ( có 9 số 1)

= 1 x 9 - (1/2 - 1/3 + 1/3 - 1/4 + 1/4 - 1/5 + ... + 1/10 - 1/11)

= 9 - (1/2 - 1/11)

= 9 - (11/22 - 2/22)

= 9 - 9/22

= 198/22 - 9/22

= 189/22

☆☆☆☆☆

cậu soyeon cũng vừa giúp mình bài đấy .Cảm ơn nhiều

 = 1 - 1/121                                                                                                                                                                                                           =     120/121

Các bạn trình bày rõ ràng cho mình nha!

A= 3/4 x 8/9 x 15/16 x...x99/100 x 120/121

A=3x8x15x...x99x121/4x9x16x...x100x121

A= 1 x 3 x 2 x 4 x 3 x 5 x ... x 9 x 11 x 10 x 12/ 2 x 2 x 3 x 3 x 4 x 4 x ... x 10 x 10 x 11 x 11

A= (1x2x3x...x9x10)x(3x4x5x...x11x12)/(2x3x4x...x10x11)x(2x3x4x...x10x11)

A=1x12/11x2

A=6/11

Vậy A=6/11

1/2+5/6+11/12+19/20+29/30+41/42+55/56+71/72+89/90
1-1/2+1-1/6+1-1/12+1-1/20+1-1/30+1-1/42+1-1/56+1-1/72+1-1/90
9 – (1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90)
9 – [1/(1x2)+1/(2x3)+1/(3x4)+1/(4x5)+1/(5x6)+1/(6x7)+1/(7x8)+1/(8x9)+1/(9x10)] 
9 – ( 1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10) 
9 – (1 – 1/10) = 9 – 9/10 = 81/10

Cảm ơn bạn nha

1/2+5/6+11/12+19/20+29/30+41/42+55/56+71/72+89/90
1-1/2+1-1/6+1-1/12+1-1/20+1-1/30+1-1/42+1-1/56+1-1/72+1-1/90
9 – (1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90)
9 – [1/(1x2)+1/(2x3)+1/(3x4)+1/(4x5)+1/(5x6)+1/(6x7)+1/(7x8)+1/(8x9)+1/(9x10)] 
9 – ( 1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10) 
9 – (1 – 1/10) = 9 – 9/10 = 81/10

1)a) 7^6 +7^5-7^4 = 7^4.7^2+7^4.7-7^4.1 = 7^4.(7^2+7-1) = 7^4.(49+7-1) = 7^4.55

Vì 55 chia hết cho 55 nên 7^4.55 chia hết cho 55

Do đó 7^6 + 7^5 - 7^4 chia hết cho 55 (đpcm)

Ta có: 7⁶  + 7⁵ - 7⁴

       = 7⁴.(7² + 7 - 1)

       = 7⁴.(49 + 7 - 1)

       = 7⁴. 55

Vì 55 chia hết cho 55 => 7⁴ . 55 chia hết cho 55

Vậy 7⁶ + 7⁵ - 7⁴ chia hết cho 55

các bn đợi mik giải ra rồi vs cx thi về r thì mới giải thì còn ích gì nữa....

200 nheLouise Francoise

11 + 13 + 89 + 87

= ( 11 + 89 ) + ( 12 + 87 )

= 100 + 100

= 200

11 + 13 + 89 + 87

= (11 + 89) + (13 + 87)

= 100 + 100

= 200

1/3 + 1/2 + 1/5 + 12/15 + 22/33 + 16/32

=1/3 + 1/2 + 1/5 + 4/5 + 2/3 + 1/2

=(1/3 + 2/3) + (1/5 + 4/5) + (1/2 + 1/2)

=      1          +        1        +       1

=3

Chúc bạn học tốt !

Phần ở dưới mới là câu hỏi đúng phần câu hỏi ở trên vẫn còn thiếu nha !

à mik nhầm phần chết bỏ lm phần dưới nha

12 ko chia đc cho 0 nên phép tính ko cho kết quả

  (54 * 89 )+12:0+899

 = 4806+0+899

=4806+899

=5705