Question

xpress 1.4191919... in the form , where p and q are integers and q ≠ 0.​

Answer 1

Answer:

281/198

Step-by-step explanation:

1.41919191919........ = x

1000x = 1419.19191919......

1000x - 10x  = 1419.191919...... - 14.19191919....

990x = 1405

x = 1405/990

x = 281/198

Answer 2

$x = 1.41919 - - - - - (1)\\ 1000 \times x = 1419.1919 \\ 1000x = 1419.1919 - - - - - - (2) \\ now \: subract \: (1)equation \: from \: it \\ 1000x = 1419.1919 \\ \: \: x = 1.41919 \\ 999x = 1416.773891919 \\ x = \frac{1416.773891919}{999}$