Oh, dude, you just gotta embrace the repeating decimal vibe and turn it into a fraction. So, 0.91666... is like x, right? To convert that to a fraction, you set it up as x = 0.91666... and then do some math magic to solve for x. In this case, x = 91666/100000, which simplifies to 18333/20000. Voila! That's your fraction, my friend.
Chat with our AI personalities
To convert 0.91666 repeating into a fraction, we can let x = 0.91666... and multiply it by 10 to shift the decimal point to the right: 10x = 9.16666... Next, subtract the original equation from the shifted one to eliminate the repeating decimal: 10x - x = 9.16666... - 0.91666... Simplifying gives 9x = 9, so x = 1. Therefore, 0.91666 repeating is equivalent to the fraction 1/1.
Let f = 0.91666...
then 10f = 9.1666...
Subtracting the first from the second,
9f = 8.25
So f = 8.25/9 = 825/900 which can be simplified to 11/12
0.6666 repeating = 2/3
123/999
percent for 0.3 repeating = 33.33%0.3333 * 100% = 33.33%
To express 0.16 repeating as a percentage, we first need to convert it to a fraction. Since the decimal 0.16 repeats indefinitely, we can represent it as 16/99 in fraction form. To convert this fraction to a percentage, we multiply by 100 to get 1600/99. Therefore, 0.16 repeating is equivalent to approximately 16.16% when rounded to two decimal places.
0.161616... = 16/99 which cannot be simplified.