Math, asked by game4363, 11 months ago

Express 3.86 bar in the p/q form

Answers

Answered by priyankapriyanka1980

Answer:

383/99

Step-by-step explanation:

3.86bar

let x=3.868686...

as periodicity is 2

100x=386.86868...

x=3.8686..

100x-x=386.8686..-3.86...

99x=383

x=383/99

alternative method:

there are two digits after decimal and both of them are recurring. for the recurring digits,9 is put in denominator. there are two digits recurring so 99 will be the denominator

3+86/99=3.868686...

(297+86)/99=383/99

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