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1 vote
0.21212121… as a fraction

User Benjineer
by
7.8k points

2 Answers

2 votes

Answer: 21/99

Work Shown:

x = 0.212121...

100x = 21.212121....

Subtract the equations straight down. This means we subtract the left hand sides together, and the right hand sides are handled separately.

  • Left hand sides: 100x-x becomes 99x
  • Right hand sides: 21.212121.... - 0.212121... becomes 21

After those sets of subtractions, we are left with 99x = 21.

This solves to x = 21/99 when dividing both sides by 99 to isolate x.

Therefore, 21/99 = 0.212121...

User Aniruddha Sinha
by
8.5k points
6 votes
It can not be a fraction
User Muaaz Rafi
by
8.3k points

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