Пошаговое объяснение:

0,666 = 0,(6) = 2/3

0,12333 = 0,12(3) = 37/300

0,8333 = 0,8(3) = 5/6

0,4(6) = 7/15

0,41(6) = 5/12

а)

1) 0,666... - 1/3 = 2/3 - 1/3 = 1/3

2) 1/3 * 0,25 = 1/3 * 1/4 = 1/12

3) 0,12333... : 0,0925 = 37/300 : 0,0925 = 37/300 : 925/10000 = 37/300 : 37/400 = 37/300 * 400/37 = 1/3 * 4/1 = 4/3

4) 1/12 : 4/3 = 1/12 * 3/4 = 3/48 = 1/16

5) 12,5 * 0,64 = 8

6) 1/16 + 8 = 8 1/16

б)

1) 0,8333 - 0,4(6) = 5/6 - 7/15 = 25/30 - 14/30 = 11/30

2) 11/30 : 1 5/6 = 11/30 : 11/6 = 11/30 * 6/11 = 1/5 * 1/1 = 1/5

3) 1,125 + 1 3/4 = 1,125 + 1,75 = 2,875

4) 2,875 - 0,41(6) = 2875/1000 - 5/12 = 23/8 - 5/12 = 69/24 - 10/24 = 59/24

5) 59/24 : 0,59 = 59/24 : 59/100 = 59/24 * 100/59 = 1/6 * 25/1 = 25/6

6) 1/5 * 25/6 = 1/1 * 5/6 = 5/6