2 years ago

0.21212121… as a fraction

Mathematics

2 answers:

sasho [114]2 years ago

3 0

It can not be a fraction

RUDIKE [14]2 years ago

3 0

<h3>Answer: 21/99</h3>

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...

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