Question

Запишите числа в виде переодической десятичной дроби:
1)1/3;1/7;-20/9;5/6; 2)-8/15;10,28;-17;3/16;
3)1 3/5;5/16;-1 5/8;7/30; 4)1 12/25;5/16;49/80;17/30.

Answer 1

1) 1/3 = 1 : 3 = 0,333... = 0,(3)

1/7 = 1 : 7 = 0,1428571428... = 0,(142857)

-20/9 = -20 : 9 = -2,222... = -2,(2)

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

2) -8/15 = -8 : 15 = -0,5333... = -0,5(3)

10,28 = 10,28000... = 10,28(0)

-17 = -17,000... = -17,(0)

3/16 = 3 : 16 = 0,1875 = 0,1875(0)

3) 1 3/5 = 1 6/10 = 1,6 = 1,6(0)

5/16 = 5 : 16 = 0,3125 = 0,3125(0)

-1 5/8 = -1 625/1000 = -1,625 = -1,625(0)

7/30 = 7 : 30 = 0,2333... = 0,2(3)

4) 1 12/25 = 1 48/100 = 1,48 = 1,48(0)

5/16 - было уже, см. 3)

49/80 = 49 : 80 = 0,6125 = 0,6125(0)

17/30 = 17 : 30 = 0,5666... = 0,5(6)