Math, asked by aditya22225, 1 year ago

prove that 0.142857... 142857...=1/ 7

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Answers

Answered by monujha1106
1
1/7 = 0.142857 { GIVEN }

SO VALUE OF 2/7, 3/7, 4/7, 5/7, 6/7

2 × 1/7 = 2/7
=> 2 × 0.142857 = 2/7
=> 2/7 = 0.285714

IN THE SAME WAY,

=> 3/7 = 3 × 0.142857
=> 3/7 = 0.428571

=> 4/7 = 4 × 0.142857
=> 4/7 = 0.571428

=> 5/7 = 5 × 0.142857
=> 5/7 = 0.714285

=> 6/7 = 6 × 0.142857
=> 6/7 = 0.857142

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
HOPE IT HELPS :):):):):):):)

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Answered by pranav77744
4

Answer:


Step-by-step explanation:

O.142857.......=p/q

×1000000

1000000p/q=142857.142857.......

Subtracting 1st equation

999999p/q=142857

P/q=1/7



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