Question

Oblicz:

a) 1/2 - (-1/6-1/3)

b) 7/6 + (-5/4 - 4/3)

c) -(-2 2/3) + 7/15

d) -1 9/16 + 11/12

e) 1 5/8 - (-2 2/3 + 0,25)

f) 1 2/5 - 3 7/8 - 0,125

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

Answer 1

a) 1/2 - (-1/6-1/3) = 1/2 - (-1/6 - 2/6) = 1/2 - (-3/6) = 1/2 + 1/2 = 1

b) 7/6 + (-5/4 - 4/3) = 7/6 + (-15/12 - 16/12) = 7/6 + (-31/12) = 14/12 + (-31/12) = -17/12 = -1 i 5/12

c) -(-2 2/3) + 7/15 = 2 i 10/15 + 7/15 = 2 i 17/15 = 3 i 2/15

d) -1 9/16 + 11/12 = - 1 i 27/48 + 44/48 = 44/48 - 75/28 = - 31/48

e) 1 5/8 - (-2 2/3 + 0,25) = 1 i 5/8 - (-8/12 + 3/12) = 1 i 5/8 - (-5/12) = 1 i 15/24 + 10/24 = 1 i 25/24 = 2 i 1/24

f) 1 2/5 - 3 7/8 - 0,125 = 1,4 - 3,875 - 0,125 = 1,4 - 4 = -2,6

g) 1/2- 1/3 - (1/4 - 1/5) = 6/12 - 4/12 - (5/20 - 4/20) = 2/12 - 1/20 = 1/6 - 1/20 = 10/60 - 3/60 = 7/60