Question

Rezultatul calculului (2,(6)+1/4-1,5)·12/17 este

Answer 1

$2,(6) \to 2 \frac{6}{9}= 2\frac{2}{3} \to \frac{8}{3} \\ 1,5 \to 1 \frac{5}{10}=1\frac{1}{2} \to \frac{3}{2} \\\\\\ (\frac{8}{3}^{(4}+\frac{1}{4}^{(3}-\frac{3}{2}^{(6} )* \frac{12}{17}= \\\\= \frac{32+3-18}{12}* \frac{12}{17}= \\\\ = \frac{ 17}{12}* \frac{12}{17} = \\\\ =\boxed{1}$

Answer 2

$(2,6+ \frac{1}{4} -1,5) * \frac{12}{17} = (\frac{26-2}{9} + \frac{1}{4} - \frac{15}{10})* \frac{12}{17}$

aduci la acelaşi numitor în paranteză:

$(\frac{24}{9} + \frac{1}{4} - \frac{15}{10})* \frac{12}{17} = (\frac{8}{3}+ \frac{1}{4}- \frac{3}{2})* \frac{12}{17} = (\frac{64+6+36}{24} )* \frac{12}{17} = (\frac{106}{24} * \frac{12}{17})= [tex][tex] \frac{53}{12}* \frac{12}{17}=\frac{53}{17}$

Sper că înţelegi! :)