Convert the following repeating decimal to a fraction in simplest form.
point, 0.63333
Let x = 0.63333...
We can multiply both sides of the equation by 10 to obtain:
10x = 6.33333...
Next, we can subtract x from 10x:
10x - x = 6.33333... - 0.63333...
This simplifies to:
9x = 5.7
Dividing both sides of the equation by 9 gives us:
x = 5.7/9
Further simplifying the fraction gives us the final answer:
x = 19/30