Respuesta:
a) -34/23
b) 577/60
c) 44/15
d) 3/4
a) Denominador homogéneo:
[tex] \frac{ - 15 - 19}{23} = \frac{ - 34}{ \: \: 23} [/tex]
b)
[tex] \frac{3}{4} + \frac{5}{3} + (7 + \frac{1}{5} ) = \frac{9 + 20}{12} + ( \frac{7(5) + 1}{5} ) = \frac{29}{12} + \frac{36}{5} = \frac{145 +432 }{60} = \frac{577}{60} [/tex]
c)
[tex] \frac{ - 2}{5} + 4 = \frac{5(4) + ( - 2)}{5} = \frac{18}{5} [/tex]
[tex] \frac{ - 1}{3} + 1 = \frac{3(1) + ( - 1)}{3} = \frac{2}{3} [/tex]
[tex] \frac{18}{5} - \frac{2}{3} = \frac{54 - 10}{15} = \frac{44}{15} [/tex]
d)
[tex] \frac{ - 3}{ \: 4} + \frac{5}{3} = \frac{ - 9 + 20}{12} = \frac{11}{12} [/tex]
[tex] \frac{5}{3} - \frac{3}{2} = \frac{10 - 9}{6} = \frac{1}{6} [/tex]
[tex] \frac{11}{12} - \frac{1}{6} [/tex]
m.c.m = 12
[tex] \frac{11 - 2}{12} = \frac{9}{12} = \frac{3}{4} [/tex]
