Question

calculați [1,1(6)-2/3]×3,(3)​

Answer 1

Explicație pas cu pas:

$(\frac{116 - 11}{90} - \frac{2}{3} ) \times \frac{33 - 3}{9} = \\ (\frac{105}{90} - \frac{2}{3} ) \times \frac{30}{9} = \\ ( \frac{7}{6} - \frac{2}{3} ) \times \frac{10}{3} = \frac{7 - 4}{6} \times \frac{10}{3} = \\ \frac{3}{6} \times \frac{10}{3} = \frac{5}{3}$

Answer 2

${[1,1(6)-\frac{2}{3}]\cdot3,(3)=[\frac{105}{90}-\frac{2}{3}]\cdot\frac{30}{9}=[\frac{7}{6}-\frac{2}{3}]\cdot\frac{10}{3}= \\ \\ =\frac{3}{6}\cdot\frac{10}{3}=\boxed{\frac{5}{3}}$