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Imparte distanta de 1,275 in parti direct proportionale cu numerele :7,5 si 17,5


Răspuns :

1,275=1 intreg  275/1000= 1 intreg  11/40= 51/40
7,5=7 intregi 5/10= 7 intregi 1/2= 15/2
17,5=17 intregi 5/10= 17 intregi 1/2= 35/2
a+b=51/40
a,b   dp cu 15/2  ;35/2
15a/2=35b/2=k
15a=2k  =>a=  2k/15
35b=2k  =>b= 2k/35
2k/15 +2k/35=51/40  aducem la acelasi numitor  (21000)
2k*1400 +2k*600 =51* 525
2800k+1200k = 26775
4000k=26775
k=6,69
a=2*6,69/15= 13,38/15= 0,89
b=2*6,69/35= 13,38/35=  0,38