Question

OBLICZ

c) (1/3 - 1/2) : ( 5/3 - 3/4) - (0,25 - 3/8 :0,625)
d) ((- 1/2)² - (- 1/2) : ((-2/3)² - (-1/3)²)
e) 3/5 - (1,4*5/14 - 0,9/3²) : (-1/5)
g) 4/5 : (1/6 - 1/5) - (2/9 - (3/8 - 1 1/3))
h) -1 1/2)² - (-1 1/3)²) : 1 1/4

Answer 1

c)

  (1/3 - 1/2 ) : (5/3 - 3/4) - (0,25 - 3/8 : 0,625) =

= (2/6 - 3/6):(20/12 - 9/12) - (25/100 - 3/8:625/1000) =

= (-1/6):11/12 - (1/4 - 3/8:5/8) =

= (-1/6) * 12/11 - (1/4 - 3/8 * 8/5) =

= -2/11 - (1/4 - 3/5) =

= -2/11 - (5/20 -12/20 =

= -2/11 -(-7/20) =

= -2/11 + 7/20 =

= -40/220 + 77/220 =

= 37/20

 

d) 

   ((-1/2)² - (-1/2) : ((-2/3)² - (-1/3)²) =

= 1/4 - (-1/2) : (4/9 -1/9) =

= 1/4 - (-1/2) : 3/9 =

= 1/4 - (-1/2) : 1/3 

= 1/4 - (-1/2) * 3 =

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

= 1/4 + 3/2 =

= 1/4 + 6/4 =

= 7/4 = 1 i 3/4

 

e)

   3/5 - (1,4 * 5/14 - 0,9/3²) : (-1/5) = 

= 3/5 - (14/10 * 5/14 - 9/10:9) : (-1/5) =

= 3/5 - (5/10 - 9/10 * 1/9) : (-1/5) =

= 3/5 - (5/10 - 1/10) * (-5) =

= 3/5 - 4/10 * (-5) =

= 3/5 + 20/10 =

= 6/10 + 20/10 =

= 26/10 =

= 2 i 3/5

 

g)

   4/5 : (1/6 - 1/5) - ((2/9 - (3/8 - 1 1/3)) =

= 4/5 : (5/30 - 6/30) - ((2/9 - (3/8 - 4/3)) =

= 4/5 : (-1/30) - ((2/9 - (9/24 - 32/24)) =

= 4/5 *(-30) - ((2/9 - (-23/24)) =

= -24 - (2/9 + 23/24) =

= -24 - (16/72 + 69/72) =

= -24 - 85/72  =

= -24 - 1 13/72 =

= -25 i 13/72

 

h)

   (-1 1/2)² - (-1 1/3)² : 1 1/4 =

= (-3/2)² - (-4/3)² : 5/4 =

= 9/4 - 16/9 : 5/4 =

= 9/4 - 16/9 * 4/5 =

= 9/4 - 64/45 =

= 405/80 - 256/80 =

= 149/180