Final answer:
The percentage 26 2/3% can be converted to an improper fraction by expressing it as 80/3, and then comparing to the given options, where (b) 266/3 is the correct answer that represents this value.
Step-by-step explanation:
The student asked how to convert a percentage into a fraction. Specifically, they want to convert 26 2/3% into a fraction. To do this, we first express the percentage as a fraction with a denominator of 100, which gives us 26 2/3 / 100. In fraction form, 26 2/3% is equal to 26 + 2/3, or 26 2/3. To convert this mixed number to an improper fraction, we multiply the whole number by the denominator of the fractional part and add the numerator. So, 26 x 3 + 2 = 80, resulting in 80/3.
To simplify this fraction and to have a denominator of 100, we can multiply the numerator and the denominator by a number that makes the denominator 100. Since 3 is not a factor of 100, we cannot directly convert the denominator to 100 without changing the value of the fraction, but we can express the fraction as an equivalent fraction over 100 to find the equivalent percent form. However, since the provided options don't include this step, we can simply compare the unreduced fraction with the options given. The matching option is therefore (b) 266/3, which represents the same value as 26 2/3 / 100, but already in an improper fraction form.