Final answer:
The question contains a mistake as 260 is a whole number and not a fraction that can be reduced. If the question was about reducing the fraction 26/10, the reduced fractional form would be 13/5.
Step-by-step explanation:
The question asks about the reduced fractional form of the number 260. To understand which of the given options is the correct reduced fractional form of 260, we need to find a fraction that has the same ratio as 260 when simplified. Since 260 is not a fraction but a whole number, there seems to be a mistake in the question. However, treating 260 as a fraction with a denominator of 1 (which is 260/1), we can attempt to simplify it. To simplify a fraction, you find the greatest common divisor (GCD) of the numerator and the denominator and divide both by that number. In this case, however, since the denominator is 1, the fraction 260/1 cannot be simplified any further as it is already in its simplest form, with 260 being a whole number and not a fraction.
None of the given options (13/5, 13/10, 26/5, 26/10) represent the number 260 as a reduced fraction because they all represent numbers smaller than 260 when converted back to whole numbers. If the question assumed a mistake and meant to inquire about reducing the fraction 26/10 instead of 260, then the reduced form would be 13/5.