4 1/9 * 1 1/32 * 1 1/5 - (2 11/14 - 2 2/35) * 4 2/3

Question

Математика

Евтихия

31 августа, 07:34

4 1/9 * 1 1/32 * 1 1/5 - (2 11/14 - 2 2/35) * 4 2/3

+4

Ответы (1)

Знаете ответ?

Коляха · Answer 1

1) 2 11/14 - 2 2/35 = 39/14 - 72/35 = (39 * 5 - 72 * 2) / 70 = 195/70 - 144/70 = 51/70

2) 4 1/9 * 1 1/32 = 37/9 * 33/32 = 407/96 = 4 23/96

3) 4 23/96 * 1 1/5 = 407/96 * 6/5 = 2442/480 = 407/80 = 5 7/80

4) 51/70 * 4 2/3 = 51/70 * 14/3 = 714/210 = 17/5 = 3 2/5

5) 5 7/80 - 3 2/5 = 407/80 - 17/5 = (407 * 1 - 17 * 16) / 80 = 407/80 - 272/80 = 135/80 = 27/16 = 1 11/16

ответ 1 11/16

или так

4 1/9 * 1 1/32 * 1 1/5 - (2 11/14 - 2 2/35) * 4 2/3 = 4 1/9 * 1 1/32 * 1 1/5 - (51/70) * 4 2/3 = 407/96 * 1 1/5 - (51/70) * 4 2/3 = 407/80 - (51/70) * 4 2/3 = 407/80 - 17/5 = 27/16 = 1 11/16