Obliczenia
[tex]\frac{\sqrt{\frac{1}{16}+(-2)^2:1\frac{1}{3}}}{5}+\sqrt{6\frac{1}{4}}=\frac{\sqrt{\frac{1}{16}+4:\frac{4}{3}}}{5}+\sqrt{\frac{25}{4}}=\frac{\sqrt{\frac{1}{16}+4\cdot\frac{3}{4}}}{5}+\frac{5}{2}=\\\\=\frac{\sqrt{\frac{1}{16}+3}}{5}+2\frac{1}{2}=\frac{\sqrt{3\frac{1}{16}}}{5}+2\frac{1}{2}=\frac{\sqrt{\frac{49}{16}}}{5}+2\frac{1}{2}=\frac{\frac{7}{4}}{5}+2\frac{1}{2}=\\\\=\frac{7}{4}\cdot\frac{1}{5}+2\frac{1}{2}=\frac{7}{20}+2\frac{1}{2}=\frac{35}{100}+2\frac{5}{10}=0,35+2,5=\boxed{2,85}[/tex]
