\[\boxed{\ \mathbf{973\ (973)}.\ Еуроки\ - \ ДЗ\ без\ мороки}\]
\[1)\ \frac{3}{4} = 0,75\]
\[2)\ \frac{9}{20} = 0,45\]
\[3)\frac{23}{32} = 0,71875\]
\[4)\ \frac{53}{40} = 1,325\]
\[5)\ \frac{263}{125} = 2,104\]
\[\boxed{\mathbf{973}\mathbf{.}\mathbf{\ }}\]
\[1)\ \frac{12 \cdot 21}{35 \cdot 15} = \frac{4 \cdot 3}{5 \cdot 5} = \frac{12}{25}\]
\[2)\ \frac{72 \cdot 11}{33 \cdot 30} = \frac{12 \cdot 1}{3 \cdot 5} = \frac{4 \cdot 1}{5} = \frac{4}{5}\]
\[3)\ \frac{25 \cdot 17 \cdot 44}{51 \cdot 8 \cdot 75} = \frac{1 \cdot 1 \cdot 11}{3 \cdot 2 \cdot 3} = \frac{11}{18}\]
\[4)\ \frac{8 \cdot 3 + 8 \cdot 23}{3 \cdot 16} = \frac{8 \cdot (3 + 23)}{3 \cdot 16} =\]
\[= \frac{26}{3 \cdot 2} = \frac{13}{3} = 4\frac{1}{3}\]
\[5)\ \frac{17 \cdot 48}{17 \cdot 16 - 9 \cdot 16} =\]
\[= \frac{17 \cdot 48}{16 \cdot (17 - 9)} = \frac{17 \cdot 3}{1 \cdot 8} = \frac{51}{8} =\]
\[= 6\frac{3}{8}\]
\[6)\ \frac{14 \cdot 5 - 14 \cdot 3}{21 \cdot 9 + 21 \cdot 3} =\]
\[= \frac{14 \cdot (5 - 3)}{21 \cdot (9 + 3)} = \frac{2 \cdot 2}{3 \cdot 12} = \frac{1 \cdot 1}{3 \cdot 3} =\]
\[= \frac{1}{9}\]