How to change 0.222...... into fraction?

Answer 1

To change the repeating decimal 0.222... into a fraction, we can set x = 0.222... and multiply both sides by 1000 to shift the decimal point three places to the right, yielding 1000x = 222.222.... Next, subtract the original equation from the shifted equation to eliminate the repeating decimal, resulting in 999x = 222. Finally, divide both sides by 999 to solve for x, which simplifies to x = 222/999. This fraction can be further reduced to 74/333 by dividing both the numerator and denominator by their greatest common divisor, which is 3.

Answer 2

Ah, turning a repeating decimal like 0.222... into a fraction is like painting a happy little tree. We can call x = 0.222... and then multiply by 100 to get 100x = 22.222... Now, subtract the first equation from the second to find 99x = 22. This simplifies to x = 22/99, a beautiful fraction just like a serene mountain landscape.

Answer 3

Oh honey, we're diving into some math now, aren't we? Well, darling, to turn 0.222... into a fraction, you simply set it equal to x, subtract x from 10x (to shift the decimal point), and solve for x. In this case, x would equal 2/9. Boom, there you have it, a fraction for your never-ending decimal.

Answer 4

0.2 (recurring) is equal to 2/9.