\[Страница\ 44.\]
\[\boxed{\mathbf{7.}}\]
\[\textbf{в)}\ 35 = 5 \cdot 7;\ \ \ \ \ 45 = 3 \cdot 3 \cdot 5;\]
\[НОК = 315;\ \ \ 315\ :35 = 9;\ \ \ \]
\[315\ :45 = 7\]
\[\frac{99}{315};\ \frac{49}{315}.\]
\[\textbf{г)}\ 10 = 2 \cdot 5;\ \ \ \ 14 = 2 \cdot 7\]
\[НОК = 70;\ \ \ 70\ :10 = 7;\ \ \ \ \ \]
\[70\ :14 = 5\]
\[\frac{49}{10};\ \ \frac{25}{14}.\]
\[\textbf{д)}\ 20 = 2 \cdot 2 \cdot 5;\ \ \ \]
\[16 = 2 \cdot 2 \cdot 2 \cdot 2;\]
\[НОК = 80;\ \ \ \ \ 80\ :20 = 4;\ \ \ \ \ \]
\[80\ :16 = 5\]
\[\frac{12}{80};\ \ \ \frac{5}{80}.\]
\[\textbf{е)}\ 15 = 3 \cdot 5;\ \ \ \ 27 = 3 \cdot 3 \cdot 3;\]
\[НОК = 135;\ \ \ \ \ 135\ :15 = 9;\ \ \ \ \]
\[135\ :27 = 5\]
\[\frac{18}{35};\ \ \ \ \ \frac{20}{135}.\]
\[\textbf{ж)}\ 42 = 2 \cdot 3 \cdot 7;\ \ \ \]
\[56 = 2 \cdot 2 \cdot 2 \cdot 7\]
\[НОК = 168;\ \ \ \ 168\ :42 = 4;\ \ \ \ \]
\[168\ :56 = 3\]
\[\frac{20}{168};\ \ \ \frac{9}{168}.\]
\[\textbf{з)}\ 60 = 2 \cdot 2 \cdot 3 \cdot 5;\ \ \ \]
\[126 = 2 \cdot 3 \cdot 3 \cdot 7\]
\[НОК = 1260;\ \ \ 1260\ :60 = 21;\ \ \ \]
\[1260\ :126 = 10\]
\[\frac{609}{1260};\ \ \frac{1090}{1260}.\]
\[\textbf{и)}\ 270 = 2 \cdot 3 \cdot 3 \cdot 3 \cdot 5;\ \ \]
\[450 = 2 \cdot 3 \cdot 3 \cdot 5 \cdot 5\]
\[НОК = 1350;\ \ \ 1350\ :270 = 5;\ \ \ \]
\[1350\ :450 = 3\]
\[\frac{695}{1350};\ \ \frac{213}{1350}.\]
\[к)\ 104 = 2 \cdot 2 \cdot 2 \cdot 13;\ \ \ \ \]
\[338 = 2 \cdot 13 \cdot 13\]
\[НОК = 1352;\ \ \ 1352\ :104 = 13;\ \ \ \]
\[1352\ :338 = 4\]
\[\frac{221}{1352};\ \ \ \frac{236}{1352}.\]