Question

express 2 -
⁴ in the form p/q​

Answer 1

Step-by-step explanation:

Answer

Let x=2.4178178…. ………(1)

Here periodicity is 3

So, we have to multiply x with 1000

⇒1000x=1000×2.4178178….

⇒1000x=2417.81781781…… (2)

Now,

Equation (2) - (1) to,

1000x−x=2417.81781781...−2.4178178

⇒999x=2415.4000

⇒x=

999

2415.4000

⇒x=

9990

24154

Therefore,

2

p

=

9990

24154

Hence, this is the answer.

solution