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Oblicz :
a) 2/3 + 0,6 =
b) 4,2 - 1 1/9 =
c) 3,6 - 1 1/2 =
d) 2 1/3 : 0,8 =
e) 5,2 * 2/7 =
f) 0,6 : 2/3 =
g) 2 3/20 + 1,27 =
h) 0,65 : 6 1/2 =
i) 4,5 - 3/4 * 1/3 =
j) ( 1 2/5 + 0,5) : 2 =
k) 5/8 * 4,2 - (1/4)2 =
l) 4/7 * (0,2 + 1/4 ) =


Odpowiedź :

Odpowiedź:

2/3 + 0,6 = 2/3 + 6/10 = 20/30 + 18/30 = 38/30 = 1 i 8/30 =  i 4/15

4,2 - 1 i 1/9 = 4 i 2/10 - 1 i 1/9 = 4 i 18/90 - 1 i 10/90 = 3 i 8/90 = 3 i 4/45

3,6 - 1 i 1/2 = 3 i 6/10 - 1 i 1/2 = 3 i 6/10 - 1 i 5/10 = 2 i 1/10

2 i 1/3 : 0,8 = 7/3 : 8/10 = 7/3 * 10/8 = 70/24 = 2 i 22/24 = 2 i 11/12

5,2 * 2/7 = 52/10 * 2/7 = 52/35 = 1 i 17/35

0,6 : 2/3 = 6/10 * 3/2 = 9/10

2 i 3/20 + 1,27 = 43/20 + 1,27 = 2,15 + 1,27 = 3,42

0,65 : 6 i 1/2 = 0,65 : 13/2 = 0,65 : 6,5 = 0,1

4,5 - 3/4 * 1/3 = 45/10 - 1/4 =  4,5 * 0,25 = 1,125

(1 i 2/5 + 0,5) : 2 = (1,4 + 0,5) : 2 = 1,9 : 2 = 0,95

5/8 * 4,2 - (1/4)² = 0,625 * 4,2 - 1/16 = 2,625 - 1/16 = 2,625 - 0,0625 = 2,5625

4/7 * (0,2 + 1/4) = 4/7 * (2/10 + 1/4) = 4/7 * (4/20 + 5/20) = 4/7 * 9/20 = 9/35

Odpowiedź:

a) 2/3 + 6/10 = 20/30 + 18/30 = 1 8/30 = 1 i 4/15

b) 4,2 - 11/9 = 4 2/10 + 1 2/9 = 4 19/90 - 1 20/90 = 2 89/90

c) 3,6 - 11/2 = 3 6/10 - 5 1/2 =  3 6/10 - 5 5/10 = -2 1/10

d) 2 1/3 : 0,8 = 7/8 * 10/8 = 35/32 = 1 3/32

e) 5,2 * 2/7 = 52/10 * 2/7 = 52/35 = 1 17/35

f) 0,6 : 2/3 = 6/10 * 3/2 = 9/10

g) 2 3/20 + 1,27 = 2 3/20 + 1 27/100 = 2 15/100 + 1 27/100 = 3 42/100

h) 0,65 : 6 1/2 = 65/100 * 2/13 = 5/50 = 1/10

i) 4,5 - 3/4 * 1/3 = 4 5/10 - 1/4 = 4 10/20 - 5/20 = 4 5/20 = 4 1/4

j) (1 2/5 + 0,5) : 2 = (1 2/5 + 5/10) : 2 = (1 4/10 + 5/10) : 2 = 1 9/10 : 2/1 = 19/10 * 1/2 = 19/20

k) 5/8 * 4,2 - (1/4)2 = 5/8 * 4 2/10 - 1/16 = 5/8 * 42/10 - 1/16 = 21/8 - 1/16 = 2 5/8 - 1/16 = 2 10/16 - 1/16 = 2 9/16

l) 4/7 * (0,2 + 1/4) = 4/7 * (2/10 + 1/4) = 4/7 * (4/20 + 5/20) = 4/7 * 9/20 = 9/35