\(a,\dfrac{1}{2}:\dfrac{2}{4}:5\) -> chỉ có phép chia nên thực hiện từ trái sang phải :>

\(=1:5=\dfrac{1}{5}\) 

\(b,\dfrac{2}{5}:12:\dfrac{4}{3}\) -> tương tự câu thứ nhất :>

\(=\dfrac{1}{30}:\dfrac{4}{3}=\dfrac{1}{40}\)

1)

\(\dfrac{1}{2}:\dfrac{2}{4}:\dfrac{5}{1}=\left(\dfrac{1}{2}.\dfrac{4}{2}\right).\dfrac{1}{5}=1.\dfrac{1}{5}=\dfrac{1}{5}\)

dấu chấm là dấu nhân á .

2)

\(\dfrac{2}{5}:\dfrac{12}{1}:\dfrac{4}{3}=\left(\dfrac{2}{5}.\dfrac{1}{12}\right).\dfrac{3}{4}=\dfrac{1}{30}.\dfrac{3}{4}=\dfrac{3}{120}=\dfrac{1}{40}\)

a: \(=\dfrac{1}{2}\cdot\dfrac{3}{4}\cdot\dfrac{5}{6}=\dfrac{15}{48}=\dfrac{5}{16}\)

b: \(=\dfrac{2}{3}+\dfrac{12}{42}=\dfrac{2}{3}+\dfrac{2}{7}=\dfrac{20}{21}\)

c: \(=\dfrac{24}{5}\cdot\dfrac{5}{12}=2\)

d: \(=\dfrac{1}{9}+\dfrac{3}{4}=\dfrac{4+27}{36}=\dfrac{31}{36}\)

`1/2 + 1/6 + 1/12 +1/20 + 1/30 + 1/42`

`=1/(1.2) + 1/(2.3) + 1/(3.4) + 1/(4.5) + 1/(5.6) + 1/(6.7)`

`=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7`

`=1-1/7`

`=6/7`

`1 2 / 3 : 1 / 2 + 0,8 : 2 / 3`

`= 5 / 3 xx 2 + 4 / 5 xx 3 / 2`

`= [ 5 xx 2 ] / 3 + [ 2 xx 2 xx 3 ] / [ 5 xx 2 ]`

`= 10 / 3 + 6 / 5`

`= 50 / 15 + 18 / 15 = 68 / 15`

1: \(=\dfrac{3}{8}\cdot\dfrac{5}{6}=\dfrac{15}{24}=\dfrac{5}{8}\)

2: \(=\dfrac{2}{3}+\dfrac{12}{42}=\dfrac{2}{3}+\dfrac{2}{7}=\dfrac{14+6}{21}=\dfrac{20}{21}\)

3: \(=\dfrac{24}{5}\cdot\dfrac{5}{12}=2\)

4: \(=\dfrac{1}{3}+\dfrac{3}{4}=\dfrac{4+9}{12}=\dfrac{13}{12}\)

`1/2xx3/4:6/5= 1/2 xx 3/4 xx 5/6 = 3/8 xx 5/6 =5/16`           

`2/3+1/6:7/12 = 2/3 + 1/6 xx 12/7 = 2/3 + 2/7 = 14/21 + 6/21 = 20/21`       

`8xx3/5:12/5= 8xx 3/5 xx 5/12 = 24/5 xx 5/12 = 2`         

`4/9+3/4-1/3= (16/36 + 27/36 ) - 1/3 = 43/36 - 1/3 = 31/36`

`1/2xx3/4:6/5`

`=1/2xx3/4xx5/6`

`=3/8xx5/6`

`=15/48`

`=5/16`

__

`2/3+1/6:7/12`

`=2/3+1/6xx12/7`

`=2/3+2/7`

`=14/21+6/21`

`=20/21`

__

`8xx3/5:12/5`

`=8xx3/5xx5/12`

`=8xx1/4`

`=8/4`

`=2`

__

`4/9+3/4-1/3`

`=(4/9-1/3)+3/4`

`=(4/9-3/9)+3/4`

`=1/9+3/4`

`=4/36+27/36`

`=31/36`

-1( 1+1/2+1/4+1/8+...+1/1024)

= -1.( 1+ 1-1/2+1/2-1/4+1/4-1/8+...+1/512-1/1024)

= -1.( 1+ 1-1/1024)

=-( 2- 1/1024)

= - 2047/ 1024

p/s : mk chỉ nghĩ ra cách lm thui, chớ về phần tính toán mk sợ sai, nếu sai mong bạn thông cảm nha! ( mk nghĩ kq sai !)

tính giá trị: -1-1/2-1/4-1/4-...-1/1024=-1/2048

( 1981 * 1982 - 990 ) | ( 1980 * 1982 - 992 ) = 1

1/2 + 1/4 + 1/8 + ...........+ 1/1024 = 2013 / 2014

(1981 x 1982 - 990) : (1980 x 1982 + 992)

=(1980 x 1982+1982 -990) : (1980 x 1982 +992)

=(1980 x 1982 + 992) : ( 1980 x 1982 + 992)

=1