Express 0.1101_{25} as a base 10 fraction in reduced form.

Answer 1

To convert the base 25 number 0.1101 to base 10, we can use the formula:

0.1101_{25} = 1*(25^(-1)) + 1*(25^(-2)) + 0*(25^(-3)) + 1*(25^(-4))

0.1101_{25} = (1/25) + (1/625) + (1/390625)

0.1101_{25} = 0.04 + 0.0016 + 0.00000256

0.1101_{25} = 0.04160256_{10}

Therefore, 0.1101_{25} is equal to 0.04160256_{10} in base 10.