Question

Calcule:
a (1/3+1/2)-(5/6-3/4)
b(5/2-1/3-3/4)-(5/6-3/4)
c(1/4+1/2+2)-(-1/6+2/3
d(-0,3+0,5)-(-2-4/5)
e(1/6+2/3)-(4/10-3/5)+1/3
f 0,2+(2/3-1/4)-(7/12+4/3)
g(1-1/4)+(2+1/2)-(1-1/3) -(2-1/4)

Answer 1

Boa tarde Gustavo

a)

(1/3 + 1/2) - (5/6 - 3/4)

1/3 + 1/2 - 5/6 + 3/4

4/12 + 6/12 - 10/12 + 9/12 = (19 - 10)/12 = 9/12 = 3/4 

b)

(5/2 - 1/3 - 3/4) - (5/6 - 3/4)

5/2 - 1/3 - 3/4 - 5/6 + 3/4

30/12 - 4/12 - 9/12 - 10/12 + 9/12 = (30 - 14)/12 = 16/12 = 4/3 

c)

(1/4 + 1/2 + 2) - (-1/6 + 2/3)

1/4 + 1/2 + 2 + 1/6 - 2/3

3/12 + 6/12 + 24/12 + 2/12 - 8/12 = (35 - 8)/12 = 27/12 = 9/4 

d)

(-3/10 + 5/10) -(-2 - 4/5)

-3/10 + 5/10 + 2 + 4/5 

2/10 + 20/10 + 8/10 = 30/10 = 3

e)

(1/6 + 2/3) - (4/10 - 3/5) + 1/3

1/6 + 2/3 - 2/5 + 3/5 + 1/3 

5/30 + 20/30 - 12/30 + 18/30 + 10/30 = (53 - 12)/30 = 41/30 

f)

2/10 + (2/3 - 1/4) - (7/12 + 4/3) 

1/5 + 2/3 - 1/4 - 7/12 - 4/3 

12/60 + 40/60 - 15/60 - 35/60 - 80/60 = (52 - 130)/60 = -78/60 = -13/10 

g) 

(1 - 1/4) + (2 + 1/2) - (1 - 1/3) - (2 - 1/4)

1 - 1/4 + 2 + 1/2 - 1 + 1/3 - 2 + 1/4 

12/12 - 3/12 + 24/12 + 6/12 - 12/12 + 4/12 - 24/12 + 3/12 = 10/12 = 5/6