Question

observe como gilberto resolveu,de duas maneiras,a expressão 3/4 + 5/6-1/4

Answer 1

a) 

$1^o Maneira: \qquad\qquad\qquad 2^oManeira: \\ \\ \frac{7}{12} + \frac{5}{6} + \frac13 \qquad\qquad\qquad\quad \frac{7}{12} + \frac{5}{6} + \frac13 \\ \\ ~~~\frac{7+10}{12} + \frac13 \qquad\qquad\qquad\quad~~\frac{7}{12} + \frac{5 + 2}{6} \\ \\ ~~~~~ \frac{17}{12}+\frac13 \qquad\qquad\qquad\qquad~ \frac7{12} + \frac76 \\\\ ~~~~~~~~ \frac{21}{12} \qquad\qquad\qquad\qquad\qquad~ \frac{21}{12}$

b) 

$1^o Maneira: \qquad\qquad\qquad 2^oManeira: \\ \\ \frac{11}{6} + \frac{3}{4} + \frac12 \qquad\qquad\qquad\quad \frac{11}{6} + \frac{3}{4} + \frac12 \\ \\ ~~~\frac{22+9}{12} + \frac12 \qquad\qquad\qquad\quad~~\frac{11}{6} + \frac{3 + 2}{4} \\ \\ ~~~~~ \frac{31}{12}+\frac12 \qquad\qquad\qquad\qquad~ \frac{11}{6} + \frac54\\\\ ~~~~~~~~ \frac{37}{12} \qquad\qquad\qquad\qquad\qquad~ \frac{37}{12}$


c) 

$1^o Maneira: \qquad\qquad\qquad 2^oManeira: \\ \\ \frac{5}{4} + \frac{7}{6} - \frac23 \qquad\qquad\qquad\quad \frac{5}{4} + \frac{7}{6} - \frac23 \\ \\ ~~\frac{15 + 14}{12} - \frac23 \qquad\qquad\qquad\quad~\frac{5}{4} + \frac{7 - 4}{6} \\ \\ ~~~~ \frac{29}{12}-\frac23 \qquad\qquad\qquad\qquad~ \frac{5}{4} + \frac36\\\\ ~~~~~~ \frac{21}{12} \qquad\qquad\qquad\qquad\qquad~ \frac{21}{12}$


d)

$1^o Maneira: \qquad\qquad\qquad 2^oManeira: \\ \\ \frac{13}{9} + \frac{5}{8} - \frac{7}{12} \qquad\qquad\qquad\quad \frac{13}{9} + \frac{5}{8} - \frac{7}{12} \\ \\ ~\frac{104 + 45}{72} - \frac7{12} \qquad\qquad\qquad\quad~~\frac{13}{9} + \frac{15 - 14}{24} \\ \\ ~~~ \frac{149}{72}-\frac7{12} \qquad\qquad\qquad\qquad\quad \frac{13}{9} + \frac1{24}\\\\ ~~~~~~ \frac{107}{12} \qquad\qquad\qquad\qquad\qquad\quad~ \frac{107 }{12}$


Em caso de duvidas, é só comentar =D

Answer 2

Eu queria saber como Fasso pra chegar a msm resposta do livro tenho q simplificar é