Question

Express 1.4393939... in the form p/q, where p and q are integers and q is not equal to zero.​

Answer 1

Answer:

Let

A = 1.439393939....... (i)

multiple both sides with 100

100A = 143.93939393........ (ii)

Apply (ii) – (i)

99A = 142.5

so A =

$\frac{142.5}{99} = \frac{1425}{990} = \frac{285}{198}$

Ans

Answer 2

Answer:

$\frac{p}{q} = \frac{285}{198}$