Resposta:

23/6

Explicação passo a passo:

[tex]\sqrt{16} +\sqrt{\frac{1}{9} } -\sqrt{\frac{1}{4} } \\\\ \sqrt{4^{2} } +\sqrt{\frac{1^{2} }{3^{2} } } -\sqrt{\frac{1^{2} }{2^{2} } } \\\\ \sqrt{4^{2} } +\sqrt{(\frac{1}{3} )^{2} } -\sqrt{(\frac{1}{2} )^{2} } \\\\4+\frac{1}{3} -\frac{1}{2} \\\\ \frac{4\times6}{6} +\frac{1\times2}{3\times2} -\frac{1\times3}{2\times3} \\\\ \frac{24}{6} +\frac{2}{6} -\frac{3}{6} \\\\ \frac{24+2-3}{6} \\\\\bold{\frac{23}{6} }[/tex]