Math, asked by khushimala321, 3 months ago

express 2.4178 in the form of p/q, where p and q are integers and q is not equal to 0

Answers

Answered by ITZURADITYAKING

1

Step-by-step explanation:

Let x=2.4178178…. ………(1)

Let x=2.4178178…. ………(1)Here periodicity is 3

Let x=2.4178178…. ………(1)Here periodicity is 3So, we have to multiply x with 1000

Let x=2.4178178…. ………(1)Here periodicity is 3So, we have to multiply x with 1000⇒1000x=1000×2.4178178….

Let x=2.4178178…. ………(1)Here periodicity is 3So, we have to multiply x with 1000⇒1000x=1000×2.4178178….⇒1000x=2417.81781781…… (2)

Let x=2.4178178…. ………(1)Here periodicity is 3So, we have to multiply x with 1000⇒1000x=1000×2.4178178….⇒1000x=2417.81781781…… (2)Now,

Let x=2.4178178…. ………(1)Here periodicity is 3So, we have to multiply x with 1000⇒1000x=1000×2.4178178….⇒1000x=2417.81781781…… (2)Now,Equation (2) - (1) to,

Let x=2.4178178…. ………(1)Here periodicity is 3So, 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

Let x=2.4178178…. ………(1)Here periodicity is 3So, 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

Let x=2.4178178…. ………(1)Here periodicity is 3So, 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

Let x=2.4178178…. ………(1)Here periodicity is 3So, 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

Let x=2.4178178…. ………(1)Here periodicity is 3So, 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=999024154Therefore, 2p=999024154

Let x=2.4178178…. ………(1)Here periodicity is 3So, 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=999024154Therefore, 2p=999024154Hence, this is the answer

Answered by tapaswinidash3715

0

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.

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