3.83 si ripete come una frazione?

#3.8bar3color(white)("xxxxx")#solo l'ultima cifra #3# ripete:

#10x=color(white)("x")38.33333...#
#ul(-x)color(white)(=)ul(-color(white)(3)3.83333...#
#99x = color(white)("x")34.5#
#rarr x=(34.5)/90=23/60#

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#3.bar(83)color(white)("xxxxxx")# le ultime 2 cifre si ripetono:

#100x=color(white)("x..")383.838383...#
#ul(-color(white)("..")x)=ul(-color(white)("xx")3.838383...)#
#color(white)(".")99x=color(white)("xx")380.0#
#rarr x=380/99#

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

#bar(3.83)color(white)("xxxxxx")#tutte e 3 le cifre si ripetono:

#1000x =color(white)("..")3833.83383383...#
#ul(-color(white)("xx")x)=ul(-color(white)("....")3.83383383383...)#
#color(white)(".")999x=color(white)(".")3830.0#
#rarr x= 3830/999#