4 : 4 4/5 + 2 2/7 * 5 1/4 - 7 11/12 = 4 11/12
1) 4 : 4 4/5 = 4 : 24/5 = 4 * 5/24 = 20/24 = 5/6
2) 2 2/7 * 5 1/4 = 16/7 * 21/4 = (4*3)/(1*1) = 12
3) 5/6 + 12 = 12 5/6
4) 12 5/6 - 7 11/12 = 12 10/12 - 7 11/12 = 11 22/12 - 7 11/12 = 4 11/12
Пояснения:
4 4/5 = (4*5+4)/5 = 24/5
2 2/7 = (2*7+2)/7 = 16/7
5 1/4 = (5*4+1)/4 = 21/4
5/6 = (5*2)/(6*2) = 10/12 - доп.множ. 2
Х+(х+50)+(х+50-60)=610
3х+40=610
3х=610-40
3х=570
х=570/3
х=190м-первый забег
х+50=190+50=240-второй забег
240-60=180-третий забег
проверка: 190+240+180=610м
1.
3 1/9 : 2 1/3 - 2 5/6
= 28/9 : 7/3 - 17/6 =
= 28/9 * 3/7 - 17/6 = 4/3 - 17/6 =
= 8/6 - 17/6 = - 9/6 = - 3/2 = - 1 1/2,
или:
1) 3 1/9 : 2 1/3 = 28/9 : 7/3 = 28/9 * 3/7 = 4/3 = 1 1/3,
2) 1 1/3 - 2 5/6 = 4/3 - 17/6 = 8/6 - 17/6 = - 9/6 = - 3/2 = - 1 1/2,
2.
1 5/7 - 4 3/13 : 1 19/26 = 12/7 - 55/13 : 45/26 =
= 12/7 - 55/13 * 26/45 = 12/7 - 22/9 =
= 108/63 - 154/63 = - 46/63,
или:
1) 4 3/13 : 1 19/26 = 55/13 : 45/26 = 55/13 * 26/45 = 22/9 = 2 4/9,
2) 1 5/7 - 2 4/9 = 12/7 - 22/9 = 108/63 - 154/63 = - 46/63