= 2047/2048 nha bạn k mình nha 

1024 phan 2048

A=1/2+1/4+1/8+1/16+...+1/2048

2A=1+1/2+1/4+1/1/8+...+1/1024

2A-A=(1+1/2+...+1/1024)-(1/2+1/4+...+1/2048)

A=1-1/2048

A=2047/2048

Tự tìm Đkxđ nha.

1/(3y^2 - 10y +3) = 6y/(9y^2 - 1) + 2/(1 - 3y)

=>1/(3y^2 -9y -y +3)=6y/(3y- 1)(3y+ 1)- 2(3y+ 1)/(3y - 1)(3y+ 1)

=>1/(y- 3)(3y -1)=-1/(3y -1)(3y +1)

=>(3y+ 1)/(y- 3)(3y -1)(3y+ 1)=(y -3)/(3y- 1)(3y +1)

=>3y+ 1= y- 3

Đến đây tự làm nha

a)ĐKXĐ:\(\hept{\begin{cases}y\ne3\\y\ne\frac{1}{3}\\y\ne-\frac{1}{3}\end{cases}}\)

\(\frac{1}{3y^2-10y+3}=\frac{6y}{9y^2-1}+\frac{2}{1-3y}\)

\(\Leftrightarrow\frac{1}{\left(y-3\right)\left(3y-1\right)}=\frac{6y}{\left(3y-1\right)\left(3y+1\right)}-\frac{2}{3y-1}\)

\(\Leftrightarrow\frac{3y+1}{\left(y-3\right)\left(3y-1\right)\left(3y+1\right)}=\frac{6y\left(y-3\right)}{\left(3y-1\right)\left(3y+1\right)\left(y-3\right)}-\frac{2\left(3y+1\right)\left(y-3\right)}{\left(3y-1\right)\left(3y+1\right)\left(y-3\right)}\)

\(\Rightarrow6y^2-18y-2\left(3y^2-9y+y-3\right)-3y-1=0\)

\(\Leftrightarrow6y^2-18y-6y^2+18y-2y+6-3y-1=0\)

\(\Leftrightarrow5-5y=0\)

\(\Leftrightarrow5y=5\Leftrightarrow y=1\)(t/m ĐKXĐ)

Vậy....

a)

 \(3y^2-10y+3=3y^2-9y-y+3=3y\left(y-3\right)-\left(y-3\right)=\left(y-3\right)\left(3y-1\right)\)

\(9y^2-1=\left(3y\right)^2-1^2=\left(3y-1\right)\left(3y+1\right)\)

ĐK: \(y\ne3,\frac{1}{3},-\frac{1}{3}\)

pt <=> \(\frac{1}{\left(3y-1\right)\left(y-3\right)}=\frac{6y}{\left(3y-1\right)\left(3y+1\right)}-\frac{2}{3y-1}\)

<=> \(\frac{1}{y-3}=\frac{6y}{3y+1}-2\)

<=> \(\frac{3y+1}{\left(y-3\right)\left(3y+1\right)}=\frac{6y\left(y-3\right)}{\left(3y+1\right)\left(y-3\right)}-\frac{2\left(3y+1\right)\left(y-3\right)}{\left(3y+1\right)\left(y-3\right)}\)

<=> 3y+1=6y(y-3)-2(3y+1)(y-3)

<=> \(3y+1=6y^2-18y-6y^2+16y+6\)

<=> 5y=5 <=> y=1 ( thỏa mãn )

vậy y=1

\(\begin{array}{l}a)A = (2 - \frac{1}{2} - \frac{1}{8}):(1 - \frac{3}{2} - \frac{3}{4})\\ = (\frac{{16}}{8} - \frac{4}{8} - \frac{1}{8}):(\frac{4}{4} - \frac{6}{4} - \frac{3}{4})\\ = \frac{{11}}{8}:\frac{{ - 5}}{4}\\ = \frac{{11}}{8}.\frac{4}{{ - 5}}\\ = \frac{{ - 11}}{{10}}\\b)B = 5 - \frac{{1 + \frac{1}{3}}}{{1 - \frac{1}{3}}}\\ = 5 - \frac{{\frac{3}{3} + \frac{1}{3}}}{{\frac{3}{3} - \frac{1}{3}}}\\ = 5 - \frac{{\frac{4}{3}}}{{\frac{2}{3}}}\\ = 5 - \frac{4}{3}:\frac{2}{3}\\ = 5 - \frac{4}{3}.\frac{3}{2}\\ = 5 - 2\\ = 3\end{array}\)

Chú ý:

Khi thực hiện phép cộng hai phân số, nếu phân số thu được chưa tối giản thì ta rút gọn thành phân số tối giản.

a) Cách 1:

\(\begin{array}{l}(8 + 2\frac{1}{3} - \frac{3}{5}) - (5 + 0,4) - (3\frac{1}{3} - 2)\\ = (8 + \frac{7}{3} - \frac{3}{5}) - (5 + \frac{4}{{10}}) - (\frac{{10}}{3} - 2)\\ = 8 + \frac{7}{3} - \frac{3}{5} - 5 - \frac{2}{5} - \frac{{10}}{3} + 2\\ = (8 - 5 + 2) + (\frac{7}{3} - \frac{{10}}{3}) - (\frac{3}{5} + \frac{2}{5})\\ = 5 + \frac{{ - 3}}{3} - \frac{5}{5}\\ = 5 + ( - 1) - 1\\ = 3\end{array}\)

Cách 2:

\(\begin{array}{l}(8 + 2\frac{1}{3} - \frac{3}{5}) - (5 + 0,4) - (3\frac{1}{3} - 2)\\ = (8 + \frac{7}{3} - \frac{3}{5}) - (5 + \frac{4}{{10}}) - (\frac{{10}}{3} - 2)\\ = (\frac{{120}}{{15}} + \frac{{35}}{{15}} - \frac{9}{{15}}) - (\frac{{25}}{5} + \frac{2}{5}) - (\frac{{10}}{3} - \frac{6}{3})\\ = \frac{{146}}{{15}} - \frac{{27}}{5} - \frac{4}{3}\\ = \frac{{146}}{{15}} - \frac{{81}}{{15}} - \frac{{20}}{{15}}\\ = \frac{{45}}{{15}}\\ = 3\end{array}\)

b)

\(\begin{array}{l}(7 - \frac{1}{2} - \frac{3}{4}):(5 - \frac{1}{4} - \frac{5}{8})\\ = (\frac{{28}}{4} - \frac{2}{4} - \frac{3}{4}):(\frac{{40}}{8} - \frac{2}{8} - \frac{5}{8})\\ = \frac{{23}}{4}:\frac{{33}}{8}\\ = \frac{{23}}{4}.\frac{8}{{33}}\\ = \frac{{46}}{{33}}\end{array}\)

a) \(-5,13:\left(5\frac{5}{28}-1\frac{8}{9}.1,25+1\frac{16}{63}\right)\)

\(=-5,13:\left(\frac{145}{28}-\frac{17}{9}.1,25+\frac{79}{63}\right)\)

\(=-5,13:\left(\frac{145}{28}-\frac{85}{36}+\frac{79}{63}\right)\)

\(=-5,13:\frac{57}{14}\)

\(=-\frac{63}{50}\)

b) \(\left(3\frac{1}{3}.1,9+19,5:4\frac{1}{3}.\left(\frac{62}{75}-\frac{4}{25}\right)\right)\)

\(=\left(\frac{10}{3}.1,9+19,5:\frac{13}{3}\right).\left(\frac{62}{75}-\frac{4}{25}\right)\)

\(=\left(\frac{19}{3}+\frac{9}{2}\right).\frac{2}{3}\)

\(=\frac{65}{6}.\frac{2}{3}\)

\(=\frac{65}{9}\)

 ^...^  ^_^

a) -5,13:(5/5/28-85/36+1/16/63)

     -5,13:(355/126+79/63)

      -5,13:57/14

       =-126

B(19/3+9/2).2/3

65/6.2/3

= 65/9

ngu như cho máy tính đâu