Evaluate the infinite geometric series 0.4 + 0.036 + 0.0000324 + ... Express your answer as a fraction with integer numerator and denominator.
r = .036 / .4 = 36 / 400 = 9 / 100 = .09
Sum = first term / [ 1 - r ] = .4 / [ 1 - .09 ] = .4 / .91 = 40 / 91