Question

найдите значение а) 7* 4/37 б) 8/13*4 1/3 в)7/16*3 г)4 4/17*3 7/18 д) 8/63*56е) 5 5/8*1 5/36 ж)3* 3/8 з)2 3/7*1 3/17*2 1/8​

Answer 1

Ответ:

▪︎а, б, в)

$7 \times \frac{4}{37} = \frac{28}{37} \\ \\ \frac{8}{13} \times 4 \frac{1}{3} = \frac{8}{13} \times \frac{13}{3} = \frac{8}{3} = 2 \frac{2}{3} \\ \\ \frac{7}{16} \times 3 = \frac{21}{16} = 1 \frac{5}{16}$

▪︎г, д)

$4 \frac{4}{17} \times 3 \frac{7}{18} = \frac{72}{17} \times \frac{61}{18} = \frac{4 \times 61}{17} = \frac{244}{17} = 14 \frac{6}{17} \\ \\ \frac{8}{63} \times 56 = \frac{8 \times 8}{9} = \frac{64}{9} = 7 \frac{1}{9}$

▪︎е, ж, з)

$5 \frac{5}{8} \times 1 \frac{5}{36} = \frac{45}{8} \times \frac{41}{36} = \frac{5 \times 41}{8 \times 4} = \frac{205}{32} = 6 \frac{13}{32} \\ \\ 3 \times \frac{3}{8} = \frac{9}{8} = 1 \frac{1}{8} \\ \\ 2 \frac{3}{7} \times 1 \frac{3}{17} \times 2 \frac{1}{8} = \frac{17 \times 20 \times 17}{7 \times 17 \times 8} = \frac{5 \times 17}{7 \times 2} = \frac{85}{14} = 6 \frac{1}{14}$