Question

[Đào Gia Linh]

a) x.(-3/7)=5/21                      c) -4/7 : x = -2/5                     e) 3/4x - 1/2=3/7                 g)(2/3x -4/9).(1/2+ -3/7:x)=0

b) x:(-2/5)= -15/16.                 d) 2/3x + 5/7 = 3/10               f)1/2x + 3/5x =-33/25.          h)-4/7 - 5/13.-39/25+-1/42:(-5/6)

i) 2/9.[-4/45:(1/5-2/15)+1\(\frac{2}{3}\) ] - -5/27

Answer 1

[Nguyễn Công Tỉnh]

\(a,x\left(-\frac{3}{7}\right)=\frac{5}{21}\)

\(\Rightarrow x=\frac{5}{21}:\left(-\frac{3}{7}\right)\)

\(\Rightarrow x=-\frac{5}{9}\)

\(b,x:\left(-\frac{2}{5}\right)=-\frac{15}{16}\)

\(\Rightarrow x=-\frac{15}{16}.\left(-\frac{2}{5}\right)\)

\(\Rightarrow x=\frac{3}{8}\)

\(c,-\frac{4}{7}:x=-\frac{2}{5}\)

\(\Rightarrow x=-\frac{4}{7}:\left(-\frac{2}{5}\right)\)

\(\Rightarrow x=\frac{10}{7}\)

\(d,\frac{2}{3}x+\frac{5}{7}=\frac{3}{10}\)

\(\frac{\Rightarrow2}{3}x=\frac{3}{10}-\frac{5}{7}\)

\(\Rightarrow\frac{2}{3}x=-\frac{29}{70}\)

\(\Rightarrow x=-\frac{29}{70}:\frac{2}{3}\)

\(\Rightarrow x=-\frac{87}{140}\)

Answer 2

[Vy Thị Hoàng Lan ( Toán Học )]

a, \(x.\left(-\frac{3}{7}\right)=\frac{5}{21}\)

\(\Rightarrow x=\frac{5}{21}:\left(-\frac{3}{7}\right)\)

\(\Rightarrow x=-\frac{5}{9}\)

b, \(x:\left(-\frac{2}{5}\right)=\left(-\frac{15}{16}\right)\)

\(\Rightarrow x=\left(-\frac{15}{16}\right).\left(-\frac{2}{5}\right)\)

\(\Rightarrow x=\frac{5}{8}\)

c, \(\left(-\frac{4}{7}\right):x=-\frac{2}{5}\)

\(x=\left(-\frac{4}{7}\right):\left(-\frac{2}{5}\right)\)

\(\Rightarrow x=\frac{10}{7}\)

d, \(\frac{2}{3}x+\frac{5}{7}=\frac{3}{10}\)

\(\Rightarrow\frac{2}{3}x=\frac{3}{10}-\frac{5}{7}\)

\(\Rightarrow\frac{2}{3}x=-\frac{29}{70}\)

\(\Rightarrow x=-\frac{29}{70}:\frac{2}{3}\)

\(\Rightarrow x=-\frac{87}{140}\)

e, \(\frac{3}{4}x-\frac{1}{2}=\frac{3}{7}\)

\(\Rightarrow\frac{3}{4}x=\frac{3}{7}+\frac{1}{2}\)

\(\Rightarrow\frac{3}{4}x=\frac{13}{14}\)

\(\Rightarrow x=\frac{13}{14}:\frac{3}{4}\)

\(\Rightarrow x=\frac{26}{21}\)

f, \(\frac{1}{2}x+\frac{3}{5}x=-\frac{33}{25}\)

\(\Rightarrow x\left(\frac{1}{2}+\frac{3}{5}\right)=-\frac{33}{25}\)

\(\Rightarrow\frac{11}{10}x=-\frac{33}{25}\)

\(\Rightarrow x=-\frac{33}{25}:\frac{11}{10}\)

\(\Rightarrow x=-\frac{6}{5}\)

g, \(\left(\frac{2}{3}x-\frac{4}{9}\right)\left(\frac{1}{2}+\left(-\frac{3}{7}\right):x\right)=0\)

\(\orbr{\begin{cases}\frac{2}{3}x-\frac{4}{9}=0\\\frac{1}{2}+-\frac{3}{7}:x=0\end{cases}\Rightarrow\orbr{\begin{cases}\frac{2}{3}x=\frac{4}{9}\\-\frac{3}{7}:x=-\frac{1}{2}\end{cases}\Rightarrow}\orbr{\begin{cases}x=\frac{4}{9}:\frac{2}{3}\\x=-\frac{3}{7}:-\frac{1}{2}\end{cases}\Rightarrow}\orbr{\begin{cases}x=\frac{2}{3}\\x=\frac{6}{7}\end{cases}}}\)

h, \(-\frac{4}{7}-\frac{5}{13}.-\frac{39}{25}+-\frac{1}{42}:-\frac{5}{6}=-\frac{4}{7}+\frac{3}{5}+\frac{1}{35}\)

\(=\frac{-20+21+1}{35}=\frac{2}{35}\)

i, \(\frac{2}{9}\left[-\frac{4}{45}:\left(\frac{1}{5}-\frac{2}{15}\right)+1\frac{2}{3}\right]--\frac{5}{27}=\frac{2}{9}\left(-\frac{4}{45}:\frac{3-2}{15}+\frac{5}{3}\right)+\frac{5}{27}\)

\(=\frac{2}{9}\left(-\frac{4}{45}.15+\frac{5}{3}\right)+\frac{5}{27}=\frac{2}{9}\left(-\frac{4}{3}+\frac{5}{3}\right)+\frac{5}{27}\)

\(=\frac{2}{9}.\frac{1}{3}+\frac{5}{27}=\frac{2}{27}+\frac{5}{27}=\frac{7}{27}\)