Convert the following repeating decimal to a fraction in simplest form..6
3
The repeating decimal is 0.6666...
To convert this to a fraction, we'll let x equal 0.6666...
Then, 10x = 6.6666...
Subtracting the original equation from the new equation, we get:
10x - x = 6.6666... - 0.6666...
9x = 6
x = 6/9
x = 2/3
Therefore, the repeating decimal 0.6666... is equal to the fraction 2/3 in simplest form.