Question

X: 5 целых 2\3= 1 целая 7\9: 1 целая 7\27

Answer 1

$x:5\frac{2}{3}=1\frac{7}{9}:1\frac{7}{27}\\\\x:\frac{17}{3}=\frac{16}{9}: \frac{34}{27}\\\\x\cdot \frac{3}{17}=\frac{16}{9}\cdot \frac{27}{34}\\\\x\cdot \frac{3}{17}=\frac{8\cdot 3}{17}\\\\x=\frac{8\cdot 3}{17}: \frac{3}{17}\\\\x=\frac{8\cdot 3}{17}\cdot \frac{17}{3}\\\\x=8$