x = 0.48(3)
100x = 48.(3)
1000x = 483.(3)
1000x - 100x = 483.(3) - 48.(3)
900x = 435
x = 435/900 = 87/180 = 29/60
Пусть х = 0,48333..., тогда
100х = 48,333...
1000х = 483,333... Уравнение:
1000х - 100х = 483,333... - 48,333...
900х = 435
х = 435/900
х = 29/60 - сократили на 15
ответ: 0,48(3) = 29/60.
