1 вычислите а) 2/3*4/5 б) 3/7 * 7/8 в) 11/12 * 8/9 г) (2/3) во второй д) 2/3:5/7 е) 9/16 : 3/2 ж) 3/4:4 з) 3:3/9 2 вычислите а) 2 * (12/25:6/5) б) 14/15:2/3*10/21 в) 2/3*3/4*4/5*5/6

1.

а) 2/3 * 4/5 = 8/15

б) 3/7 * 7/8 = 3/1 * 1/8 = 3/8

в) 11/12 * 8/9 = 11/3 * 2/9 = 22/27

г) (2/3) ^2 = 2/3 * 2/3 = 4/9

д) 2/3 : 5/7 = 2/3 * 7/5 = 14/15

е) 9/16 : 3/2 = 9/16 * 2/3 = 3/8 * 1/1 = 3/8

ж) 3/4 : 4 = 3/4 : 4/1 = 3/4 * 1/4 = 3/16

з) 3 : 3/9 = 3/1 : 3/9 = 3/1 : 9/3 = 27/3 = 9

2.

а) 2 * (12/25 : 6/5) = 0,8

1. 12/25 : 6/5 = 12/25 * 5/6 = 2/5 * 1/1 = 2/5 = 0,4

2. 2 * 0,4 = 2/1 * 4/10 = 1/1 * 4/5 = 4/5 = 0,8

б) 14/15 : 2/3 * 10/21 = 2/3

1. 14/15 : 2/3 = 14/15 * 3/2 = 7/5 * 1/1 = 7/5

2. 7/5 * 10/21 = 1/1 * 2/3 = 2/3

в) 2/3 * 3/4 * 4/5 * 5/6 = (2 * 3 * 4 * 5) : (3 * 4 * 5 * 6) = 120/360 = 1/3

№1

а) 2/3 * 4/5 = 8/15;

б) 3/7 * 7/8 = 3/8;

в) 11/12 * 8/9 = 22/27;

г) (2/3) ² = 2/3 * 2/3 = 4/9;

д) 2/3 : 5/7 = 2/3 * 7/5 = 14/15;

е) 9/16 : 3/2 = 9/16 * 2/3 = 3/8;

ж) 3/4 : 4 = 3/4 * 1/4 = 3/16;

з) 3 : 3/9 = 3 * 9/3 = 9.

№2

а) 2 * (12/25 : 6/5) = 2 * (12/25 * 5/6) = 2 * 2/5 = 4/5.

Ответ: 2 * (12/25 : 6/5) = 4/5.

б) 14/15 : 2/3 * 10/21 = 14/15 * 3/2 * 10/21 = 7/5 * 10/21 = 2/3.

Ответ: 14/15 : 2/3 * 10/21 = 2/3.

в) 2/3 * 3/4 * 4/5 * 5/6 = 1/2 * 4/5 * 5/6 = 2/5 * 5/6 = 1/3.

Ответ: 2/3 * 3/4 * 4/5 * 5/6 = 1/3.