a)
[tex]( \frac{11}{6} + \frac{3}{4} ) \div \frac{31}{24} \\ \\ = ( \frac{22}{12} + \frac{9}{12} ) \div \frac{31}{24} \\ \\ = \frac{31}{12} \div \frac{31}{24} \\ \\ = \frac{31}{12} \times \frac{24}{31} \\ \\ = \frac{2}{1} [/tex]
la final am simplificat 31 cu 31 si 12 cu 24
b)
[tex] (\frac{5}{6} + \frac{11}{9} ) \div \frac{79}{9} \\ \\ = ( \frac{15}{18} + \frac{22}{18} ) \div \frac{79}{9} \\ \\ = \frac{37}{18} \div \frac{79}{9} \\ \\ = \frac{37}{18} \times \frac{9}{79} \\ \\ = \frac{37}{2} \times \frac{1}{79} = \frac{37}{158} [/tex]
c)
[tex]( \frac{13}{12} - \frac{7}{16} ) \div \frac{37}{30} + \frac{1}{2} \\ \\ = ( \frac{52}{48} - \frac{21}{48} ) \div \frac{37}{30} + \frac{1}{2} \\ \\ = \frac{31}{48} \div \frac{37}{30} + \frac{1}{2} \\ \\ = \frac{31}{48} \times \frac{30}{37} + \frac{1}{2} \\ \\ = \frac{31}{16} \times \frac{10}{37} + \frac{1}{2} \\ \\ = \frac{310}{592} + \frac{1}{2} \\ \\ = \frac{155}{296} + \frac{1}{2} \\ \\ = \frac{155}{296} + \frac{148}{296} \\ \\ = \frac{303}{296} [/tex]
Sper ca te-am ajutat ♡
