Bài làm:

\(\left(\frac{1}{1.3}+\frac{1}{3.5}+\frac{1}{5.7}+\frac{1}{7.9}+\frac{1}{9.11}\right).y=\frac{2}{3}\)

\(\Leftrightarrow\left(\frac{2}{1.3}+\frac{2}{3.5}+\frac{2}{5.7}+\frac{2}{7.9}+\frac{2}{9.11}\right).y=\frac{4}{3}\)

\(\Leftrightarrow\left(\frac{3-1}{1.3}+\frac{5-3}{3.5}+\frac{7-5}{5.7}+\frac{9-7}{7.9}+\frac{11-9}{9.11}\right).y=\frac{4}{3}\)

\(\Leftrightarrow\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+\frac{1}{9}-\frac{1}{11}\right).y=\frac{4}{3}\)

\(\Leftrightarrow\left(1-\frac{1}{11}\right).y=\frac{4}{3}\)

\(\Leftrightarrow\frac{10}{11}.y=\frac{4}{3}\)

\(\Leftrightarrow y=\frac{4}{3}:\frac{10}{11}=\frac{4}{3}.\frac{11}{10}=\frac{22}{15}\)

Chú ý dấu \(\left(.\right)\)là dấu \(\left(\times\right)\)

Vậy \(y=\frac{22}{15}\)

\(\left(\frac{1}{1.3}+\frac{1}{3.5}+\frac{1}{5.7}+\frac{1}{7.9}+\frac{1}{9.11}\right).y=\frac{2}{3}\)

\(\Leftrightarrow\frac{1}{2}.\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+\frac{1}{9}-\frac{1}{11}\right).y=\frac{2}{3}\)

\(\Leftrightarrow\frac{1}{2}.\left(1-\frac{1}{11}\right).y=\frac{2}{3}\)

\(\Leftrightarrow\frac{1}{2}.\frac{10}{11}.y=\frac{2}{3}\)

\(\Leftrightarrow\frac{5}{11}.y=\frac{2}{3}\)

\(\Rightarrow y=\frac{2}{3}:\frac{5}{11}=\frac{22}{15}\)

LƯU Ý:các dấu chấm(.) là dấu nhân ^^.

(\(\frac{1}{1\cdot3}+\frac{1}{3\cdot5}+\frac{1}{5\cdot7}+\frac{1}{7\cdot9}+\frac{1}{9\cdot11}\)) *y = \(\frac{2}{3}\)

chinh lại câu c.

x+2/5=2-3x

x+3x=2-2/5

4x=8/5

x=2/5

a. /2x-1/=/x+2/

2x-1= x+2 hoặc 2x-1=-x-2

x=3 hoặc 3x=-1

x=3 hoặc x=-1/3

b. 2.\(3^x\).\(3^2\)=18

\(3^x\).18=18

\(3^x\)=1

\(3^x\)=\(3^0\)

x=0

c.x+2/5=2-3x

x+3x=2-2/5

4x=3/5

x=3/20

.x+2/5=2-3x/3

x+2/5=2-x

x+x=2-2/5

2x=8/5

x=4/5

mấy cái này tíck chéo lên là được 

\(a,\frac{x}{7}=\frac{6}{-21}\)

\(\Rightarrow x=\frac{6.7}{-21}\)

\(\Rightarrow x=-2\)

p/s: lm như z đóa cn m câu khác bạn tự lm nhé !

Câu 1:15/35=3/7

216/270=4/5

250/750=1/3

Câu 2:8/18,12/27,16/36,20/45,24/54

Câu 3:1/2=2/4=3/6=4/8=5/10

Câu 4:2×3×5/2×7×5=30/70=3/7

Tk mình nhé bn!

Bài 1:

\(\frac{15}{35}=\frac{3}{7}\)

\(\frac{216}{270}=\frac{4}{5}\)

\(\frac{250}{750}=\frac{1}{3}\)

Bài 2:

5 phân số bằng phân số \(\frac{4}{9}\) là: \(\frac{8}{18};\frac{12}{27};\frac{16}{36};\frac{20}{45};\frac{24}{54}\)

Bài 3:

\(\frac{1}{2};\frac{2}{4};\frac{3}{6};\frac{4}{8};\frac{5}{10}\)

Bài 4:

\(\frac{2x3x5}{2x7x5}=\frac{3}{7}\)

\(1\)\(\frac{15}{35}\) \(=\)\(\frac{5}{7}\)

\(\frac{216}{270}\)= \(\frac{24}{30}\)

\(\frac{250}{750}\)\(=\)\(3\)

   \(2.\)\(\frac{8}{18}\); \(\frac{12}{27}\)   ; \(\frac{16}{36}\); \(\frac{20}{45}\); \(\frac{24}{54}\)

\(\frac{1}{2}\)=\(\frac{2}{4}\)= \(\frac{3}{6}\)=\(\frac{4}{8}\)=\(\frac{5}{10}\)

4.\(2\cdot3\cdot\frac{5}{2\cdot7\cdot5}\) = \(\frac{3}{7}\)

Phép tính trên bằng: \(\frac{1}{2}.\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{2x+1}-\frac{1}{2x+3}\right)=\frac{1}{2}\left(\frac{1}{3}-\frac{1}{2x+3}\right)=\frac{x}{6x+9}\)

1/2 ở đâu đấy bạn

1 tính nhanh: a/ [ 2727/ 3636 + 1212/5454 ] x 9/10 = (3/4 + 2/9) x 9/10

                                                                                 = 3/4 x 9/10 + 2/9 x 9/10

                                                                                 = 27/40 + 1/5

                                                                                 = 27/40 +  8/40

                                                                                 = 7/8