Question

Partea fractionara care este

Answer 1

$\left\{\dfrac{3\sqrt{3}+5}{3}\right\} = \left\{\sqrt 3 +\dfrac{5}{3}\right\} = \left\{\sqrt 3 +\dfrac{3+2}{3}\right\} =\\ \\ =\left\{\sqrt 3 +1+\dfrac{2}{3}\right\} =\sqrt 3 +1+\dfrac{2}{3} - \left[\sqrt 3 +1+\dfrac{2}{3}\right] =\\ \\ = \sqrt 3 +1+\dfrac{2}{3} -3 = \sqrt{3}+\dfrac{2}{3}-2=\boxed{\sqrt{3}-\dfrac{4}{3}}$