Question

\sqrt{5,76} x 0,(5) - 0,4 = $\sqrt{5,76}$

Answer 1

  
[tex]\displaystyle \sqrt{5,76} \times 0,(5) - 0,4 = \\ = 2,4 \times 0,(5) - 0,4 = \\ \\ = \frac{24}{10} \times \frac{5}{9} - \frac{4}{10} = \\ \\ = \frac{12}{5} \times \frac{5}{9} - \frac{2}{5} = \\ \\ = \frac{12}{9}- \frac{2}{5} = \\ \\ = \frac{4}{3}- \frac{2}{5} = \frac{20}{15}- \frac{6}{15} = \frac{20-6}{15} = \boxed{ \frac{14}{15}}[/tex]

Answer 2

√5,76*0,(5)-0,4 = 2,4*$\frac{5}{9}$-$\frac{4}{10}$ = $\frac{24}{10}* \frac{5}{9} - \frac{4}{10} = \frac{4}{3} - \frac{4}{10}= \frac{20-6}{15}= \frac{14}{15}$