(2 3/4t-1 7/8) :1/4-5/18x+1/4x*(2 2/3- 1/x)

Решите задачу:

$\Big(2\dfrac{3}{4}\, t-1\dfrac{7}{8}\Big):\dfrac{1}{4}-\dfrac{5}{18}\, x+\dfrac{1}{4}\, x\cdot \Big(2\dfrac{2}{3}-\dfrac{1}{x}\Big)=\\\\\\=\Big(\dfrac{11}{4}\, t-\dfrac{15}{8}\Big):\dfrac{1}{4}-\dfrac{5}{18}\, x+\dfrac{1}{4}\, x\cdot \Big(\dfrac{8}{3}-\dfrac{1}{x}\Big)=\\\\\\=\Big(\dfrac{11}{4}\, t-\dfrac{15}{8}\Big)\cdot 4-\dfrac{5}{18}\, x+\dfrac{1}{4}\, x\cdot \dfrac{8x-3}{3x}=$

$=11\, t-\dfrac{15}{2}-\dfrac{5}{18}\, x+\dfrac{8x-3}{12}=11\, t-\dfrac{15}{2}-\dfrac{5}{18}\, x+\dfrac{2}{3}\, x-\dfrac{1}{4}=\\\\\\=11\, t+\dfrac{7}{18}\, x-\dfrac{31}{4}$