Răspuns:
a.
[tex]\frac{\frac{7}{36} - \frac{1}{46}}{\left(5\frac{6}{9} - 3\frac{3}{4}\right)} \div \left(1\frac{3}{8}\right)[/tex]
[tex]= \frac{\frac{7}{36} - \frac{1}{46}}{\left(\frac{51}{9} - \frac{15}{4}\right)} \div \left(\frac{11}{8}\right)[/tex]
[tex]= \frac{\frac{7}{36} - \frac{1}{46}}{\left(\frac{153}{27} - \frac{45}{12}\right)} \div \left(\frac{11}{8}\right)[/tex]
[tex]= \frac{\frac{7}{36} - \frac{1}{46}}{\left(\frac{153}{27} - \frac{135}{27}\right)} \div \left(\frac{11}{8}\right)[/tex]
[tex]= \frac{\frac{7}{36} - \frac{1}{46}}{\frac{18}{27}} \div \left(\frac{11}{8}\right)[/tex]
[tex]= \left(\frac{7}{36} - \frac{1}{46}\right) \cdot \left(\frac{8}{11} \cdot \frac{3}{2}\right)[/tex]
[tex]= \left(\frac{7}{36} - \frac{1}{46}\right) \cdot \frac{12}{11}[/tex]
[tex]= \left(\frac{7 \cdot 46 - 1 \cdot 36}{36 \cdot 46}\right) \cdot \frac{12}{11}[/tex]
[tex]= \left(\frac{322 - 36}{1656}\right) \cdot \frac{12}{11}[/tex]
[tex]= \left(\frac{286}{1656}\right) \cdot \frac{12}{11}[/tex]
[tex]= \left(\frac{143}{828}\right) \cdot \frac{12}{11}[/tex]
[tex]= \frac{143 \cdot 12}{828 \cdot 11}[/tex]
[tex]= \frac{1716}{9108}[/tex]
[tex]= \frac{\frac{7}{36} - \frac{1}{46}}{\frac{2}{3}} \div \left(\frac{11}{8}\right)[/tex]
[tex]= \left(\frac{\frac{7}{36} - \frac{1}{46}}{\frac{2}{3}}\right) \cdot \left(\frac{8}{11}\right)[/tex]
[tex]= \left(\frac{7}{36} - \frac{1}{46}\right) \cdot \left(\frac{8}{11} \div \frac{2}{3}\right)[/tex]
alea nu le pot face nu reusesc
