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1,25• [0,15+0,1(6)]=​

Răspuns :

1,25 ori [0,15+0,1(6)]=

125/100 ori [15/100+(16-1)/90]=

5/4 ori (3/20+15/90)=

5/4 ori (3/20+3/18)=

5/4 ori (27/180+30/180)=

5/4 ori 57/180=285/720=19/48

[tex]\it 1,25=\dfrac{\ 125^{(25}}{100}=\dfrac{5}{4}\\ \\ \\ 0,15=\dfrac{\ 15^{(5}}{100}=\dfrac{3}{20}\\ \\ \\ 0,1(6)=\dfrac{16-1}{90}=\dfrac{\ 15^{(15}}{90}=\dfrac{1}{6}[/tex]

Acum avem :

[tex]\it \dfrac{5}{4}\cdot\Big(\dfrac{^{3)}3}{\ 20}+\dfrac{^{10)}1}{\ \ 6}\Big)=\dfrac{5}{4}\cdot\dfrac{19}{60} =\dfrac{19}{4\cdot12}=\dfrac{19}{48}[/tex]