52. Выполните вычитание: 1) $$3\frac{1}{16} - \frac{1}{8}$$; 2) $$7\frac{9}{20} - 5\frac{17}{30}$$; 3) $$4\frac{2}{7} - 1\frac{4}{9}$$; 4) $$8\frac{5}{36} - 1\frac{43}{108}$$; 5) $$9\frac{7}{32} - 4\frac{5}{6}$$; 6) $$6\frac{7}{32} - 2\frac{11}{48}$$

**1) $$3\frac{1}{16} - \frac{1}{8}$$** $$3 + \frac{1}{16} - \frac{1}{8} = 3 + \frac{1}{16} - \frac{2}{16} = 3 - \frac{1}{16} = 2\frac{16}{16} - \frac{1}{16} = 2\frac{15}{16}$$ **2) $$7\frac{9}{20} - 5\frac{17}{30}$$** $$7 - 5 = 2$$ Приведем дроби к общему знаменателю, который равен 60. $$\frac{9}{20} = \frac{9 \cdot 3}{20 \cdot 3} = \frac{27}{60}$$ $$\frac{17}{30} = \frac{17 \cdot 2}{30 \cdot 2} = \frac{34}{60}$$ Т.к. $$\frac{27}{60} < \frac{34}{60}$$, занимаем 1 у целой части. $$2\frac{27}{60} = 1 + 1\frac{27}{60} = 1 + \frac{60}{60} + \frac{27}{60} = 1\frac{87}{60}$$ $$1\frac{87}{60} - \frac{34}{60} = 1\frac{53}{60}$$ **3) $$4\frac{2}{7} - 1\frac{4}{9}$$** $$4 - 1 = 3$$ Приведем дроби к общему знаменателю, который равен 63. $$\frac{2}{7} = \frac{2 \cdot 9}{7 \cdot 9} = \frac{18}{63}$$ $$\frac{4}{9} = \frac{4 \cdot 7}{9 \cdot 7} = \frac{28}{63}$$ Т.к. $$\frac{18}{63} < \frac{28}{63}$$, занимаем 1 у целой части. $$3\frac{18}{63} = 2 + 1\frac{18}{63} = 2 + \frac{63}{63} + \frac{18}{63} = 2\frac{81}{63}$$ $$2\frac{81}{63} - \frac{28}{63} = 2\frac{53}{63}$$ **4) $$8\frac{5}{36} - 1\frac{43}{108}$$** $$8 - 1 = 7$$ Приведем дроби к общему знаменателю, который равен 108. $$\frac{5}{36} = \frac{5 \cdot 3}{36 \cdot 3} = \frac{15}{108}$$ Т.к. $$\frac{15}{108} < \frac{43}{108}$$, занимаем 1 у целой части. $$7\frac{15}{108} = 6 + 1\frac{15}{108} = 6 + \frac{108}{108} + \frac{15}{108} = 6\frac{123}{108}$$ $$6\frac{123}{108} - \frac{43}{108} = 6\frac{80}{108} = 6\frac{20}{27}$$ **5) $$9\frac{7}{32} - 4\frac{5}{6}$$** $$9 - 4 = 5$$ Приведем дроби к общему знаменателю, который равен 96. $$\frac{7}{32} = \frac{7 \cdot 3}{32 \cdot 3} = \frac{21}{96}$$ $$\frac{5}{6} = \frac{5 \cdot 16}{6 \cdot 16} = \frac{80}{96}$$ Т.к. $$\frac{21}{96} < \frac{80}{96}$$, занимаем 1 у целой части. $$5\frac{21}{96} = 4 + 1\frac{21}{96} = 4 + \frac{96}{96} + \frac{21}{96} = 4\frac{117}{96}$$ $$4\frac{117}{96} - \frac{80}{96} = 4\frac{37}{96}$$ **6) $$6\frac{7}{32} - 2\frac{11}{48}$$** $$6 - 2 = 4$$ Приведем дроби к общему знаменателю, который равен 96. $$\frac{7}{32} = \frac{7 \cdot 3}{32 \cdot 3} = \frac{21}{96}$$ $$\frac{11}{48} = \frac{11 \cdot 2}{48 \cdot 2} = \frac{22}{96}$$ Т.к. $$\frac{21}{96} < \frac{22}{96}$$, занимаем 1 у целой части. $$4\frac{21}{96} = 3 + 1\frac{21}{96} = 3 + \frac{96}{96} + \frac{21}{96} = 3\frac{117}{96}$$ $$3\frac{117}{96} - \frac{22}{96} = 3\frac{95}{96}$$