Question

[Trần Thị Hồng Nhi]

chỉ mình mấy câu này nha 

câu 1 : 1/3:x-2/3=5/6+7/8

câu 2 :2/5 -x :3/5=6/7

câu 3: 4/5-26/m=-8/15

Answer 1

[Lê Vương Kim Anh]

\(\frac{1}{3}:x-\frac{2}{3}=\frac{5}{6}+\frac{7}{8}\)

\(\frac{1}{3}:x-\frac{2}{3}=\frac{41}{24}\)

\(\frac{1}{3}:x=\frac{19}{8}\)

\(x=\frac{8}{57}\)

\(\frac{2}{5}-x:\frac{3}{5}=\frac{6}{7}\)

\(x:\frac{3}{5}=\frac{-16}{35}\)

\(x=\frac{-48}{175}\)

\(\frac{4}{5}-\frac{26}{m}=\frac{-8}{15}\)

\(\frac{26}{m}=\frac{4}{3}\)

=> 26 x 3 = m x 4

   78 = m x 4

         m = 19,5

Answer 2

[Lê Hồng Phúc]

Câu 1 :\(\frac{1}{3}\div x-\frac{2}{3}=\frac{5}{6}+\frac{7}{8}\)

\(\Leftrightarrow\frac{1}{3x}=\frac{5}{6}+\frac{7}{8}+\frac{2}{3}\)

\(\Leftrightarrow\frac{1}{3x}=\frac{4\cdot5}{24}+\frac{7\cdot3}{24}+\frac{2\cdot8}{24}\)

\(\Leftrightarrow\frac{1}{3x}=\frac{20}{24}+\frac{21}{24}+\frac{16}{24}\)

\(\Leftrightarrow\frac{1}{3x}=\frac{57}{24}\)

\(\Leftrightarrow24=57\cdot3x\)

\(\Leftrightarrow24=171x\)

\(\Leftrightarrow x=\frac{24}{171}=\frac{8}{57}\)

Câu 2: \(\frac{2}{5}-x\div\frac{3}{5}=\frac{6}{7}\)

\(\Leftrightarrow\frac{-5x}{3}=\frac{6}{7}-\frac{2}{5}\)

\(\Leftrightarrow\frac{-5x}{3}=\frac{5\cdot6}{35}-\frac{2\cdot7}{35}\)

\(\Leftrightarrow\frac{-5x}{3}=\frac{30}{35}-\frac{14}{35}\)

\(\Leftrightarrow-\frac{5x}{3}=\frac{16}{35}\)

\(\Leftrightarrow-175x=48\)

\(\Leftrightarrow x=-\frac{48}{175}\)

Câu 3: \(\frac{4}{5}-\frac{26}{m}=-\frac{8}{15}\)

\(\Leftrightarrow\frac{26}{m}=\frac{4}{5}-\left(-\frac{8}{15}\right)\)

\(\Leftrightarrow\frac{26}{m}=\frac{4}{5}+\frac{8}{15}\)

\(\Leftrightarrow\frac{26}{m}=\frac{12}{15}+\frac{8}{15}\)

\(\Leftrightarrow\frac{26}{m}=\frac{20}{15}\)

\(\Leftrightarrow20m=26\cdot15=390\)

\(\Leftrightarrow m=\frac{390}{20}=\frac{39}{2}\)