Question

Oblicz
a) (5 1/3 - 2 2/3) : 2 1/2 + 1 3/4
b) (6 5/7 - 5 4/5) * 1 1/2 + 2 2/3
c) (8 2/9 - 7 3/4 * 5 1/7 + 2 2/5
d) (10 3/8 - 9 4/9) * 7 1/2 + 3 1/2

Answer 1

A)
(5 1/3 - 2 2/3) : 2 1/2 + 1 3/4 =
= (4 4/3 - 2 2/3) : 5/2 + 1 3/4 = 2 2/3 * 2/5 + 1 3/4 =
= 8/3 * 2/5 + 1 3/4 = 16/15 + 1 3/4 = 1 1/15 + 1 3/4 = 
= 1 4/60 + 1 45/60 = 2 49/60
b)
(6 5/7 - 5 4/5) * 1 1/2 + 2 2/3 =
= (6 25/35 - 5 28/35) * 3/2 + 2 2/3 =
= (5 60/35 - 5 28/35) * 3/2 + 2 2/3 =
= 32/35 * 3/2 + 2 2/3 = 16/35 * 3 + 2/3 =
= 48/35 + 2/3 = 1 13/35 + 2/3 = 1 39/105 + 70/105 = 1 109/105 = 2 4/105
c)
(8 2/9 - 7 3/4 * 5 1/7 + 2 2/5 =
= 8 2/9 - 31/4 * 36/7 + 2 2/5 = 8 2/9 - 31 * 9/7 + 2 2/5 =
= 8 2/9 - 279/7 + 2 2/5 =
= 8 2/9 - 39 6/7 + 2 2/5 = 8 14/63 - 39 54/63 + 2 2/5 =
= -31 40/63 + 2 2/5 = -31 200/315 + 2 126/315 = -29 74/315
d)
(10 3/8 - 9 4/9) * 7 1/2 + 3 1/2 =
= (10 27/72 - 9 32/72) * 15/2 + 3 1/2 =
= (9 99/72 - 9 32/72) * 15/2 + 3 1/2 =
= 67/72 * 15/2 + 3 1/2 = 67/24 * 5/2 + 3 1/2 =
= 335/48 + 3 1/2 = 6 47/48 + 3 24/48 = 9 71/48 = 10 23/48
UFF,tylko dla wytrwalych