Question
convert 0.5 repeated to a fraction
Answers
GPT 3.5
0.5 repeated can be represented as 0.555... To convert this to a fraction, we can set it as x:
x = 0.555...
Now multiply x by 10 to shift the decimal point:
10x = 5.555...
Subtract the original equation from the new one:
10x - x = 5.555... - 0.555...
9x = 5
Divide both sides by 9 to solve for x:
x = 5/9
Therefore, 0.5 repeated can be written as the fraction 5/9.
x = 0.555...
Now multiply x by 10 to shift the decimal point:
10x = 5.555...
Subtract the original equation from the new one:
10x - x = 5.555... - 0.555...
9x = 5
Divide both sides by 9 to solve for x:
x = 5/9
Therefore, 0.5 repeated can be written as the fraction 5/9.