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rezultatul calculului 0.5-[0,(3)-1]

Răspuns :

Răspuns:

0.5-[0,(3)-1] =5/10-(3/9-1)=1/2-(3/9-1)=

1/2-(1/3-3/3) aducem la acelasi numitor termenii din paranteza

=1/2-(-2/3)=

1/2+2/3=3/6+4/6=7/6=1,1(6)

 

[tex]\displaystyle\bf\\0.5-[0,\!(3)-1]=\\=\frac{5}{10}-\left[\frac{3}{9}-1\right]=\\=\frac{1}{2}-\left[\frac{1}{3}-1\right]=\\=\frac{1}{2}-\left[\frac{1}{3}-\frac{3}{3}\right]=\\=\frac{1}{2}-\left[\frac{1-3}{3}\right]=\\=\frac{1}{2}-\left[\frac{-2}{3}\right]=\\=\frac{1}{2}-\left[-\frac{2}{3}\right]=\\=\frac{1}{2}+\frac{2}{3}=\\=\frac{1\times3}{2\times3}+\frac{2\times2}{3\times2}=\\=\frac{3}{6}+\frac{4}{6}=\\=\frac{3+4}{6}=\boxed{\bf\frac{7}{6}}=\boxed{\bf1\frac{1}{6}}=\boxed{\bf1,\!1(6)}[/tex]