Convert 0.27¯¯¯¯¯ to a rational number in simplest form.(1 point) Responses 311 Start Fraction 3 over 11 end fraction 27100 Start Fraction 27 over 100 end fraction 127 Start Fraction 1 over 27 end fraction 2799

Answer 1

The answer is 311.
To convert 0.27¯¯¯¯¯ to a rational number in simplest form, we can let x = 0.27¯¯¯¯¯ and multiply both sides by 100 to get 100x = 27.7777 ¯¯.
Next, subtracting x from 100x gives 99x = 27, so x = 27/99.
Finally, we simplify 27/99 to get the simplest form which is 311/900.