Question

1° Efetue e expresse o resultado na forma de fração. a) 2+ 0,1 b) 1,5 + 3/4 c)8/5 + 0,2


d) 0,4444.. + 0,4 e) 0,666.. - 1/2


f) 0, 333.. + 0, 123, 123


g) 1/5 +1/2 x 0,1111...
3/5 x 0,111...

l) 0,999 + 1/5 + 1/3
3/5 - 1/15


i) 3/4: 2/3 : 9/ 12

Answer 1

a
2/1 = 0,1 = 2/1 + 1/10  = ( 20 + 1)/10 = 21/10 **** ou 2,1
b
1,5 + 3/4 =  15/10 + 3/4 = ( 30 + 15)/20  = 45/20  = 9/4
c
8/5 + 0.2 = 8/5 + 2/10  = ( 32 + 4)/20   36/20 = 9/5
d
0.444..... + 0.4 =  
4/9 + 4/10 = ( 40 + 36)/90 = 76/90   = 38/45 
e
0.666 ...... - 1/2 =  6/9  - 1/2  = ( 12 - 9 )/18 = 3/18 = 1/6
f
0,333....... + 0.123123 ..... =  3/9 + 123/999 =  ( 333 + 123)/999 = 456/999 = 152/333
g
1/5 + 1/2 . 0.111..... =
1/5 +(1/2 . 1/9 ) = 
1/5 + 1/18  = ( 18 + 5 )/90 = 23/90

3/5 * 0.111.... = 3/5 *  1/9 = 3/45 =  1/15 
i
0.999.... + 1/5 + 1/3 = 9/9 + 1/5 + 1/3 = ( 45 + 9 + 15 )/45 =69/45 = 23/15