write 0.52 repeated indefinitely as a fraction
To write 0.52 repeated indefinitely as a fraction, we can first represent the repeating part by a variable. Let's say the repeating part is represented by the variable x.
Now, we should multiply both sides of this equation by 100 to shift the decimal point two places to the right:
100x = 52.52...
Next, subtract the first equation from the second equation:
100x - x = 52.52... - 0.52...
This simplifies to:
99x = 52
Finally, divide both sides of the equation by 99 to solve for x:
x = 52/99
Therefore, 0.52 repeated indefinitely can be expressed as a fraction:
0.52... = 52/99