Question

\(\frac{11}{13}\) - ( \(\frac{5}{42}\) - x ) = - ( \(\frac{15}{28}\) - \(\frac{11}{13}\) )

Answer 1

\(\Leftrightarrow\frac{11}{13}-\frac{5}{42}+x=-\left(-\frac{113}{364}\right)\)

\(\Leftrightarrow\frac{397}{546}+x=\frac{113}{364}\)

\(\Leftrightarrow x=\frac{113}{364}-\frac{397}{546}=-\frac{5}{12}\)

Answer 2

\(\Rightarrow\frac{5}{42}-x=\frac{11}{13}+\left(\frac{15}{28}-\frac{11}{13}\right)\)

\(\Rightarrow\frac{5}{42}-x=\frac{15}{28}\)

\(\Rightarrow x=\frac{5}{42}-\frac{15}{28}=-\frac{5}{12}\)

Answer 3

\(\frac{11}{13}-\left(\frac{5}{42}-x\right)=-\left(\frac{15}{28}-\frac{11}{13}\right)\)

\(\frac{11}{13}-\left(\frac{5}{42}-x\right)=\frac{113}{364}\)

\(\left(\frac{5}{42}-x\right)=\frac{11}{13}-\frac{113}{364}\)

\(\left(\frac{5}{42}-x\right)=\frac{15}{28}\)

\(x=\frac{5}{42}-\frac{15}{28}\)

\(=-\frac{5}{12}\)

Answer 4

<=> \(\frac{5}{42}-x=\frac{11}{13}+\left(\frac{15}{18}-\frac{11}{13}\right)=\frac{5}{6}\)

<=> x= \(\frac{5}{42}-\frac{5}{6}=-\frac{5}{7}\)

vậy x= \(\frac{-5}{7}\)

Answer 5