write 0.6 repeated indefinitely as a fraction
To express 0.6 repeated indefinitely as a fraction, we can denote it as "0.666...".
Let's call the number x:
x = 0.666...
To get rid of the decimal, we can multiply both sides of the equation by 10:
10x = 6.666...
Now, subtract the original equation from the equation obtained by multiplying by 10:
10x - x = 6.666... - 0.666...
9x = 6
Divide both sides by 9:
x = 6/9
Simplifying the fraction, we find:
x = 2/3
Therefore, 0.6 repeated indefinitely can be written as the fraction 2/3