Question

Transforme dizima em fração 0,15242424... 0,1555... 0,16565... 0565565565... 0,2999... 2,01999... 2,8666... 3,5454...

Answer 1

0,15242424...
100x = 15 + 24/99
9900x = 1485 + 24
x = 1509/9900










0,1555...
10x = 1 + 5/9
90x = 9 + 5
x = 14/90







0,16565...
10x = 1 + 65 /99
990x = 99 + 65
x = 164/990








0,565565565...
x = 565/999






0,2999...
10x = 2 + 9/9
x = 3 / 10









2,01999...
100x = 201 + 9/9
x = 202/100








2,8666...
10x = 28 + 6/9
90x = 252 + 6
x = 258/90









3,5454...
x = 3 + 54/99
99x = 297 + 54
x = 351/99