Question

RESUELVA LAS SIGUIENTES OPERACIONES:

a) 5/8+2/14
b)7/10+(-1/5)
c/ -3/9+(-5/12)
d)-1/5+2/7
e) 10/4-8/5
f) 5/12-5/6
g)-2/5-5/10
h) 1/3+8/5+6/4+13/30
i)7/2+6/3-11/4

Answer 1

a

$\frac{5}{8} + \frac{2}{14} = \frac{35}{56} + \frac{8}{56} = \frac{43}{56}$

b

$\frac{7}{10} + ( \frac{ - 1}{5} ) = \\ \frac{7}{10} + ( \frac{ - 2}{10} ) = \\ \frac{5}{10} = \frac{1}{2}$

c

$\frac{ - 3}{9} + ( \frac{ - 5}{12} ) = \\ \frac{ - 12}{36} + ( \frac{ - 15}{36} ) = \\ \frac{ - 27}{36} = \frac{ - 3}{4}$

d

$\frac{ - 1}{5} + \frac{2}{7} = \frac{ - 7}{35} + \frac{10}{35} = \frac{3}{35}$

e

$\frac{10}{4} - \frac{8}{5} = \frac{50}{20} - \frac{32}{20} = \frac{18}{20} = \frac{9}{10}$

f

$\frac{5}{12} - \frac{5}{6} = \frac{5}{12} - \frac{10}{12} = \frac{ - 5}{12}$

g

$\frac{ - 2}{5} - \frac{5}{10} = \frac{ - 4}{10} - \frac{5}{10} = \frac{ - 9}{10}$

h

$\frac{1}{3} + \frac{8}{5} + \frac{6}{4} + \frac{13}{30} = \\ \frac{20}{60} + \frac{96}{60} + \frac{90}{60} + \frac{26}{60} = \\ \frac{232}{60} = \frac{58}{15}$

i

$\frac{7}{2} + \frac{6}{3} - \frac{11}{4} = \\ \frac{42}{12} + \frac{24}{12} - \frac{33}{12} = \\ \frac{33}{12} = \frac{11}{4}$

Answer 2

a) 5/8 + 2/14 =
m.c.m= 56
35/56 + 8/56 = 43/56

b) 7/10 + (-1/5) =
m.c.m= 10
7/10 - 1/5
7/10 - 2/10 = 5/10
Simplificado= 1/2
c) -3/9 + (-5/12) =
m.c.m = 36
-3/9 - 5/12
-12/36 - 15/36 = -27/36
Simplificado= -3/4
d) -1/5 + 2/7 +
m.c.m= 35
7/35 + 10/35 = 3/35
e) 10/4 - 8/5 =
m.c.m= 20
50/20 - 32/20 = 18/20
Simplificado= 9/10
f) 5/12 - 5/6=
m.c.m= 12
5/12 - 10/12 = -5/12
g) -2/5 - 5/10=
m.c.m = 10
-4/10 - 5/10 = -9/10
h) 1/3 + 8/5 + 6/4 + 13/30=
m.c.m= 60
20/60 + 96/60 + 90/60 + 26/60 = 232/60
Simplificado= 58/15
i) 7/2 + 6/3 - 11/4 =
m.c.m= 12
42/12 + 24/12 - 33/12= 33/12
Simplificado= 11/4