А)1,(0) 0,(3) 0,(7)
Б)0,1(2) 1,12(3) 7,5(4)
В)0,(12) 1,0(12) 8,7(21)
Г)23,5(0) 23,5(1) 23,5(13) 23,5(127)
Запишите периодические дроби в виде обыкн-дробей

Предыдущий
вопрос Следующий
вопрос

А)
1,(0) = 1
0,(3) = 0.(3) = 0.3333... = 1/3
0,(7) = 0.(7) = 0.7777... = 7/9

Б)
0,1(2) = 0.1(2) = 0.122222... = 12/99 = 4/33
1,12(3) = 1.12(3) = 1.123333... = (112 + 0.3)/99 = 37/33
7,5(4) = 7.5(4) = 7.544444... = 75 + 4/9 = 747/99 = 249/33

В)
0,(12) = 0.(12) = 0.121212... = 12/99 = 4/33
1,0(12) = 1.0(12) = 1.121212... = (121 + 0.12)/99 = 133/99 = 4/3
8,7(21) = 8.7(21) = 8.721212... = (872 + 0.12)/99 = 992/99 = 32/3

Г)
23,5(0) = 23.5 = 23.5
23,5(1) = 23.5(1) = 23.55 = 23.55
23,5(13) = 23.5(13) = 23.513131313... = 23 + 4/99 = 2301/99
23,5(127) = 23.5(127) = 23.58585858... = 23 + 56/99 = 2277/99