ВАРИАНТ 3 1. Выполните умножение: 1) 6/7 × 3/5; 2) 9/32 × 16/81; 3) 8/19 × 19/72; 4) 44/65 × 25/77 2. Вычислите: 1) 4 × 5/21; 2) 24 × 7/12; 3) 16/63 × 9; 4) 36 × 13/48 3. Найдите произведение: 1) 6 6/7 × 3/8; 2) 5 1/7 × 1 8/27; 3) 2 5/8 × 2 2/7; 4) 1 8/9 × 1 1/8 × 2 2/3.

Решим задания:

1. 1. Выполните умножение:

   1. $$rac{6}{7} cdot \frac{3}{5} = \frac{6 \cdot 3}{7 \cdot 5} = \frac{18}{35}$$
   $$\frac{9}{32} \cdot \frac{16}{81} = \frac{9 \cdot 16}{32 \cdot 81} = \frac{144}{2592} = \frac{1}{18}$$$$\frac{8}{19} \cdot \frac{19}{72} = \frac{8 \cdot 19}{19 \cdot 72} = \frac{152}{1368} = \frac{1}{9}$$$$\frac{44}{65} \cdot \frac{25}{77} = \frac{44 \cdot 25}{65 \cdot 77} = \frac{1100}{5005} = \frac{20}{91}$$

   2. Вычислите:

   1. $$4 \cdot \frac{5}{21} = \frac{4 \cdot 5}{21} = \frac{20}{21}$$
   $$24 \cdot \frac{7}{12} = \frac{24 \cdot 7}{12} = \frac{168}{12} = 14$$$$\frac{16}{63} \cdot 9 = \frac{16 \cdot 9}{63} = \frac{144}{63} = \frac{16}{7} = 2\frac{2}{7}$$$$36 \cdot \frac{13}{48} = \frac{36 \cdot 13}{48} = \frac{468}{48} = \frac{39}{4} = 9\frac{3}{4}$$

   3. Найдите произведение:

   1. $$6\frac{6}{7} \cdot \frac{3}{8} = \frac{48}{7} \cdot \frac{3}{8} = \frac{48 \cdot 3}{7 \cdot 8} = \frac{144}{56} = \frac{18}{7} = 2\frac{4}{7}$$
   $$5\frac{1}{7} \cdot 1\frac{8}{27} = \frac{36}{7} \cdot \frac{35}{27} = \frac{36 \cdot 35}{7 \cdot 27} = \frac{1260}{189} = \frac{20}{3} = 6\frac{2}{3}$$$$2\frac{5}{8} \cdot 2\frac{2}{7} = \frac{21}{8} \cdot \frac{16}{7} = \frac{21 \cdot 16}{8 \cdot 7} = \frac{336}{56} = 6$$$$1\frac{8}{9} \cdot 1\frac{1}{8} \cdot 2\frac{2}{3} = \frac{17}{9} \cdot \frac{9}{8} \cdot \frac{8}{3} = \frac{17 \cdot 9 \cdot 8}{9 \cdot 8 \cdot 3} = \frac{1224}{216} = \frac{17}{3} = 5\frac{2}{3}$$