Question

Решите номер 1285! Прошу вас!!!

Answer 1

$4- frac{1}{3- frac{1}{2- frac{1}{2} } } =4- frac{1}{3- frac{1}{ 1frac{1}{2} } }=4- frac{1}{3- frac{2}{3} } }=4- frac{1}{2 frac{1}{3} } =4- frac{3}{7}=3 frac{4}{7}$


$7- frac{1}{5- frac{1}{1- frac{1}{2} } }= 7- frac{1}{5- frac{1}{ frac{1}{2} } }=7- frac{1}{5-2 } }=7- frac{1}{3} =6 frac{2}{3}$

$6- frac{2}{5- frac{2}{4- frac{2}{3} } }= 6- frac{2}{5- frac{2}{3 frac{1}{3} } }=6- frac{2}{5- frac{2}{ frac{10}{3} } }=6- frac{2}{5- frac{6}{ {10} } }=6- frac{2}{4 frac{4}{ {10} } }=6- frac{2}{ frac{44}{ {10} } }=6-frac{20}{44} =5 frac{24}{44}=5 frac{6}{11}$


$frac{3}{4}+ frac{7}{6- frac{3}{5+ frac{8}{4- frac{4}{5} } } }= frac{3}{4}+ frac{7}{6- frac{3}{5+ frac{8}{3 frac{1}{5} } } }= frac{3}{4}+ frac{7}{6- frac{3}{5+ frac{8}{ frac{16}{5} } } }= frac{3}{4}+ frac{7}{6- frac{3}{5+ frac{40}{ 16} } } }=frac{3}{4}+ frac{7}{6- frac{3}{ frac{120}{ 16} } }=frac{3}{4}+ frac{7}{6- frac{48}{120} } }=frac{3}{4}+ frac{7}{5 frac{72}{120} } }=frac{3}{4}+ frac{7}{frac{672}{120} } }=frac{3}{4}+ frac{840}{672} } }= frac{3}{4}+ 1 frac{168}{672} =frac{3}{4}+ 1 frac{1}{4}=2$

Answer 2

[tex] frac{3}{4}+ frac{7}{6- frac{3}{5+ frac{8}{4- frac{4}{5} } } }= frac{3}{4}+ frac{7}{6- frac{3}{5+ frac{8}{3 frac{1}{5} } } }= frac{3}{4}+ frac{7}{6- frac{3}{5+ frac{8}{ frac{16}{5} } } }= frac{3}{4}+ frac{7}{6- frac{3}{5+ frac{40}{ 16} } } }=frac{3}{4}+ frac{7}{6- frac{3}{ frac{120}{ 16} } }=frac{3}{4}+ frac{7}{6- frac{48}{120} } }=frac{3}{4}+ frac{7}{5 frac{72}{120} } }=frac{3}{4}+ frac{7}{frac{672}{120} } }=frac{3}{4}+ frac{840}{672} } }= frac{3}{4}+ 1