A decimal number is simply a way of representing a number in such a way that the place value of each digit is ten times that of the digit to its right. A decimal representation does not require a decimal point. So the required decimal representation is 13 cents, exactly as in the question.
A decimal representation does not imply a change in the measurement units. If this is required then you need to specify the units into which the quantity is to be converted.
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13 in decimal = 1101 in binary.
Convert the top (numerator) to decimal, and then convert the denominator to decimal. Octal fraction 15/26 is decimal (8+5) divided by decimal (16+6) = 13/22 decimal.
Oh, dude, it's like super easy. So, seven and one half cents is basically 7.5 cents in decimal. You just drop the "and" and convert the fraction to a decimal, like no big deal. So, yeah, 7.5 cents is your answer.