To write 0.41 repeated indefinitely as a fraction, we will use algebraic manipulation. Let's denote the repeating decimal as x:
x = 0.414141...
Multiply both sides of the equation by 100 to remove the decimal point:
100x = 41.414141...
Subtract the two equations:
100x - x = 41.414141... - 0.414141...
99x = 41
Now, divide both sides of the equation by 99 to solve for x:
x = 41/99
Therefore, 0.41 repeated indefinitely is equal to the fraction 41/99.
write 0.41 repeated indefinitely as a fraction
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