Question

represente os decimais abaixo em frações
a) 0,171717
b)8,142142142
c)184,131313
d)119,898989
e)0,32183218
f)895,777

Answer 1

a-)
X = 0,171717... (x100)
(-1)
100x = 17,171717...
-x = - 0,171717...
99x = 17
x = 17/99

b-)

X= 8,142142142... (x1000)
(-1)
1000x = 8142,142142142...
-x = - 8,142142142...
999x = 8134
x= 8134/999

c-)

X= 184,131313... (x100)
(-1)
100x = 18413,131313...
-x = - 184,131313...
99x= 18229
x= 18229/99

d-)
X= 119,898989... (x100)
(-1)
100x= 11989,898989...
-x = -119,898989...
99x = 11870
x= 1870/99

e-)

X= 0,321832183218.... (x1000)

(-1)
1000x = 321,321832183218...
-x = - 0,321832183218...
999x = 321
x= 321/999

f-)

X= 895,777... (x10)
(-1)

10x = 8967,777...
-x = - 895,777...
9x = 8062
x = 8062/9