Resposta:
Item a:
7 + 0,155... = 7 + \frac{15 - 1}{90} = 7 + \frac{14}{90} = 7 + \frac{7}{45} = \frac{322}{45}7+0,155...=7+
90
15−1
=7+
90
14
=7+
45
7
=
45
322
Item b:
-0,533... = -\frac{53 - 5}{90} = -\frac{48}{90} = -\frac{8}{15}−0,533...=−
90
53−5
=−
90
48
=−
15
8
Item c:
69 + 0,033... = 69 + \frac{3}{90} = 69 + \frac{1}{30} = \frac{2071}{30}69+0,033...=69+
90
3
=69+
30
1
=
30
2071
Item d:
-1 - 0,17474... = -1 - \frac{174 - 1}{990} = -1 - \frac{173}{990} = - \frac{1163}{990}−1−0,17474...=−1−
990
174−1
=−1−
990
173
=−
990
1163
