1. An octopus told me that his underwater cave \( 245_{8}\) is years old. How many years is this in base ten?
2. What is the digit in the thousandths place of the decimal equivalent of \(3/16\)?
3. Express \(\frac{0.\overline{12}}{0.\overline{321}}\) as a common fraction.
ty for the help
Algorithm
(1) drop the decimal
(2) In the numerator : Subtract the non-repeating part from the repeating part
(3) In the denominator : Write the same number of 9's as the digits in the repeatnig part and the same number of 0's as the non-repeating part
.12 (repeating ) = (12 - 0) / 99 = 12 / 99 = 4/33
.132 ( repeating) = (321 - 0 ) / 99 = 321 / 99 107/33
4 / 33
______ = 4 / 107
107 33