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

\(410-\left(5.x+42.x+x.3\right)=60\)

\(\Leftrightarrow\left(5.x+42.x+3.x\right)=410-60\)

\(\Leftrightarrow5.x+42.x+3.x=350\)

\(\Leftrightarrow\left(5+42+3\right).x=350\)

\(\Leftrightarrow50x=350\)

\(\Leftrightarrow x=350:50\)

\(\Leftrightarrow x=7\)

Vậy \(x=7.\)

\(410-\left(5x+42x+3x\right)=60\) 

\(410-50x=60\)   

\(50x=410-60\)   

\(50x=350\)        

\(x=7\)

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 = \(\frac{2}{3}\)

x*3/5+x*2/7=31/70

x*(3/5+2/7) =31/70

x*31/35      =31/70

         x       =31/70 :31/35

         x        = 1/2

\(x.\frac{3}{5}+x.\frac{2}{7}=\frac{31}{70}\)

\(x\left(\frac{3}{5}+\frac{2}{7}\right)=\frac{31}{70}\)

\(x\left(\frac{21}{35}+\frac{10}{35}\right)=\frac{31}{70}\)

\(\frac{31}{35}x=\frac{31}{70}\)

\(x=\frac{31}{70}:\frac{31}{35}\)

\(x=\frac{31}{70}.\frac{35}{31}\)

\(x=\frac{35}{70}\)

\(x=\frac{1}{2}\)

vay \(x=\frac{1}{2}\)