Question

Вычислить 8 3/4 * 2 4/7 – 10 1/8 * 3 1/3. 2 1/52*26/49 – 11 5/11 : 3 3/7 –3 5/21 : 1 22/63 + 1 3/35 : 1 1/56.

Answer 1

8 3/4 * 2 4/7 - 10 1/8 * 3 1/3 = - 11 1/4
1) 8 3/4 * 2 4/7 = 35/4 * 18/7 = (5*9)/2 = 45/2 = 22 1/2
2) 10 1/8 * 3 1/3 = 81/8 * 10/3 = (27*5)/4 = 135/4 = 33 3/4
3) 22 1/2 - 33 3/4 = - 33 3/4 + 22 2/4 = - 11 1/4

2 1/52 * 26/49 - 11 5/11 : 3 3/7 = - 2 83/308
1) 2 1/52 * 26/49 = 105/52 * 26/49  = 105/98 = 1 7/98 = 1 1/14
2) 11 5/11 : 3 3/7 = 126/11 * 7/24 = 441/132 = 3 45/132 
3) 1 1/14 - 3 45/132 = 1 66/924 - 3 315/924 = - 3 315/924 + 1 66/924 = - 2 249/924 = - 2 83/308

- 3 5/21 : 1 22/63 + 1 3/35 : 1 1/56 = - 1 1/3
1) - 3 5/21 : 1 22/63 = - 68/21 * 63/85 = - (68*3)/85 = - 204/85 = - 2 34/85 = - 2 2/5
2) 1 3/35 : 1 1/56 = 38/35 * 56/57 = (2*8)/(5*3) = 16/15 = 1 1/15
3) - 2 2/5 + 1 1/15 = - 2 6/15 + 1 1/15 = - 1 5/15 = - 1 1/3

Answer 2

8 3/4•2 4/7= 35/4•18/7=(35•18)/(4•7)= 630/28=
=22 14/28= 22 1/2
10 1/8•3 1/3= 81/8•10/3=(81•10)/(8•3)= 810/24=
= 33 18/24= 33 9/12= 33 3/4.