Convert the following repeating decimal to a fraction in simplest form.
., start overline, 3, end overline
Let x = 0.3333...
Multiplying both sides of the equation by 10, we get:
10x = 3.3333...
Subtracting the original equation from this new equation, we get:
10x - x = 3.3333... - 0.3333...
9x = 3
Dividing both sides of the equation by 9, we get:
x = 3/9
Since both the numerator and denominator can be divided by 3, we can simplify the fraction further:
x = 1/3.
Therefore, the repeating decimal ., start overline, 3, end overline is equivalent to the fraction 1/3 in simplest form.