Question

Ajutor!
Calculati b) [0,(3)+(1/3)^2] * 1,5
c) 0,8(3) : 2,(3)*[1+1/2*1/3]​

Answer 1

b)

$( \frac{3}{9} + {( \frac{1}{3}) }^{2} ) \times \frac{15}{10}$

$( \frac{3}{9} + \frac{ {1}^{2} }{ {3}^{2} } ) \times \frac{15}{10}$

$( \frac{3}{9} + \frac{1}{9} ) \times \frac{15}{10}$

$\frac{4}{9} \times \frac{15}{10} = \frac{2}{3} \times \frac{5}{5} = \frac{2}{3} \times 1 = \frac{2}{3}$

c)

$\frac{83 - 8}{90} \div 2 \frac{3}{9} \times (1 + \frac{1}{2} \times \frac{1}{3} )$

$\frac{75}{90} \div \frac{2 \times 9 + 3}{9} \times (1 + \frac{1}{2 \times 3} )$

$\frac{5}{6} \div \frac{21}{9} \times (1 + \frac{1}{6} )$

$\frac{5}{6} \times \frac{9}{21} \times ( \frac{6}{6} + \frac{1}{6} ) = \frac{5}{6} \times \frac{9}{21} \times \frac{7}{6} = \frac{5}{2} \times \frac{1}{3} \times \frac{1}{2} = \frac{5}{12}$