Виконай множення:
Розв'язок:
1) $1\frac{5}{7} \cdot 1\frac{2}{3} = \frac{12}{7} \cdot \frac{5}{3} =$
$= \frac{12 \cdot 5}{7 \cdot 3} = \frac{20}{7} = 2\frac{6}{7}$;
2) $3\frac{3}{8} \cdot 1\frac{1}{15} = \frac{27}{8} \cdot \frac{16}{15} =$
$= \frac{27 \cdot 16}{8 \cdot 15} = \frac{18}{5} = 3\frac{3}{5}$;
3) $1\frac{1}{7} \cdot 1\frac{3}{11} = \frac{8}{7} \cdot \frac{14}{11} =$
$= \frac{8 \cdot 14}{7 \cdot 11} = \frac{16}{11} = 1\frac{5}{11}$;
4) $9\frac{3}{8} \cdot 2\frac{2}{5} = \frac{75}{8} \cdot \frac{12}{5} =$
$= \frac{75 \cdot 12}{8 \cdot 5} = \frac{15 \cdot 3}{2} =$
$= \frac{45}{2} = 22\frac{1}{2}$;
5) $2\frac{5}{11} \cdot 1\frac{19}{36} = \frac{27}{11} \cdot \frac{55}{36} =$
$= \frac{27 \cdot 55}{11 \cdot 36} = \frac{45}{12} =$
$= 3\frac{9}{12} = 3\frac{3}{4}$;
6) $1\frac{5}{36} \cdot 5\frac{5}{8} = \frac{41}{36} \cdot \frac{45}{8} =$
$= \frac{41 \cdot 45}{36 \cdot 8} = \frac{41 \cdot 5}{4 \cdot 8} =$
$= \frac{205}{32} = 6\frac{13}{32}$;
7) $4\frac{5}{12} \cdot 7\frac{1}{2} \cdot \frac{6}{53} =$
$= \frac{53}{12} \cdot \frac{15}{2} \cdot \frac{6}{53} =$
$= \left(\frac{53}{12} \cdot \frac{6}{53}\right) \cdot \frac{15}{2} =$
$= \frac{1}{2} \cdot \frac{15}{2} = \frac{1 \cdot 15}{2 \cdot 2} =$
$= \frac{15}{4} = 3\frac{3}{4}$;
8) $2\frac{3}{7} \cdot 1\frac{3}{17} \cdot 3\frac{1}{16} =$
$= \frac{17}{7} \cdot \frac{20}{17} \cdot \frac{49}{16} =$
$= \left(\frac{17}{7} \cdot \frac{20}{17}\right) \cdot \frac{49}{16} =$
$= \frac{20}{7} \cdot \frac{49}{16} = \frac{5 \cdot 49}{7 \cdot 4} =$
$= \frac{35}{4} = 8\frac{3}{4}$.