Question

$- \frac{4}{3} +( -\frac{9}{4}-(-\frac{11}{6})=$
ajutati-ma va rogg dau coroana+10 puncte

Answer 1

   
[tex]\displaystyle\\ - \frac{4}{3} +\left( -\frac{9}{4}\right)-\left(-\frac{11}{6}\right)=~?\\\\ \text{Vom elimina parantezelor vom face urmatoarele operatii intre semne:}\\\\ (+)\cdot (-)=(-) ~~\text{la prima paranteza}\\ (-)\cdot (-)=(+)~~\text{la a doua paranteza}\\\\ - \frac{4}{3} +\left( -\frac{9}{4}\right)-\left(-\frac{11}{6}\right)=\\\\ - \frac{4}{3} -\frac{9}{4}+\frac{11}{6}= \\\\ \text{Aducem la acelasi numitor.}\\ \text{Numitorul comun este 12.} [/tex]

[tex]\displaystyle\\ = - \frac{4\times 4}{3\times4} -\frac{9\times3}{4\times3}+\frac{11\times2}{6\times2}=\\\\ = - \frac{16}{12} -\frac{27}{12}+\frac{22}{12}=\\\\ = \frac{-16-27+22}{12}=\frac{-43+22}{12}=\frac{-21}{12}=-\frac{21}{12}=\boxed{\bf -\frac{7}{4}}[/tex]