Question

Express 2.4178 in the form p/q, where p and q are integers and q ≠ 0. give the answer

Answer 1

Answer:

assalamu alaikum warahmatullah wabarakatuhu

Answer 2

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=9992415.4000

⇒x=999024154

Therefore, 2p=999024154

Hence, this is the answer.