Pls 144 n 2 n 3
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1°
$\small 5,\overline3-4,\overline7=$
$\small =\dfrac{53-5}{9}-\dfrac{47-4}{9}=$
$\small =\dfrac{48}{9}-\dfrac{43}{9}=$
$\small =\dfrac{5}{9}$.
2°
$\small 2,1\overline6·0,\overline8=$
$\small =\dfrac{216-21}{90}·\dfrac{8-0}{9}=$
$\small =\dfrac{\cancel{195}^{13}}{\cancel{90}_6}·\dfrac{8}{9}=$
$\small =\dfrac{13}{\cancel6_3}·\dfrac{\cancel8^4}{9}=$
$\small =\dfrac{13}{3}·\dfrac{4}{9}=$
$\small =\dfrac{52}{27}$.
3°
$\small 1,\overline7 : 0,\overline6=$
$\small =\dfrac{17-1}{9} : \dfrac{6-0}{9}=$
$\small =\dfrac{16}{9} : \dfrac{\cancel6^2}{\cancel9_3}=$
$\small =\dfrac{16}{9} : \dfrac{2}{3}=$
$\small =\dfrac{16}{9}·\dfrac{3}{2}=$
$\small =\dfrac{\cancel{16}^8}{\cancel9_3}·\dfrac{\cancel3^1}{\cancel2_1}=$
$\small =\dfrac{8}{3}$.