Question

(4целых 16х+11 целых 14)*415=23х+5 целых 23

Answer 1

$(4frac{1}{6}x+11frac{1}{4})frac{4}{15}=frac{2}{3}x+5frac{2}{3}$
$(frac{25}{6}x+frac{45}{4})frac{4}{15}=frac{2}{3}x+frac{17}{3}$
$frac{25}{6}x*frac{4}{15}+frac{45}{4}*frac{4}{15}=frac{2}{3}x+frac{17}{3}$
$frac{5}{3}x*frac{2}{3}+3=frac{2}{3}x+frac{17}{3}$
$frac{10}{9}x=frac{2}{3}x+frac{17}{3}-3$
$frac{10}{9}x-frac{2}{3}x=5frac{2}{3}-3$
$frac{10}{9}x-frac{6}{9}x=2frac{2}{3}$
$frac{4}{9}x=2frac{2}{3}$
$frac{4}{9}x=frac{8}{3}$
$x=frac{8}{3}:frac{4}{9}$
$x=frac{8}{3}*frac{9}{4}$
$x=6$