Question

\(\dfrac{7,5+1,5+\dfrac{5}{4}+\dfrac{5}{11}}{10,5+2,1+\dfrac{7}{4}+\dfrac{7}{11}}\)+ x =\(\dfrac{6}{7}\)

Answer 1

\(\dfrac{7,5+1,5+\dfrac{5}{4}+\dfrac{5}{11}}{10,5+2,1+\dfrac{7}{4}+\dfrac{7}{11}}+x=\dfrac{6}{7}\)

\(\dfrac{9+\dfrac{5}{4}+\dfrac{5}{11}}{\dfrac{63}{5}+\dfrac{7}{4}+\dfrac{7}{11}}+x=\dfrac{6}{7}\)

\(\dfrac{\dfrac{36}{4}+\dfrac{5}{4}+\dfrac{5}{11}}{\dfrac{252}{20}+\dfrac{35}{20}+\dfrac{7}{11}}+x=\dfrac{6}{7}\)

\(\dfrac{\dfrac{41}{4}+\dfrac{5}{11}}{\dfrac{287}{20}+\dfrac{7}{11}}+x=\dfrac{6}{7}\)

\(\dfrac{\dfrac{451}{44}+\dfrac{20}{44}}{\dfrac{3157}{220}+\dfrac{140}{220}}+x=\dfrac{6}{7}\)

\(\dfrac{\dfrac{471}{44}}{\dfrac{3297}{220}}+x=\dfrac{6}{7}\)

\(\dfrac{5}{7}+x=\dfrac{6}{7}\)

\(x=\dfrac{6}{7}-\dfrac{5}{7}\)

\(x=\dfrac{1}{7}\)