Final answer:
The reduced fraction of women in the class is 17/20, and the percentage of women is 85%.
Step-by-step explanation:
The correct answer is option A for the reduced fraction and option B for the percentage of women in the class.
To find the fraction of women in the class, we divide the number of women by the total number of students. There are 51 women and 9 men for a total of 51 + 9 = 60 students. So, the fraction representing women is 51/60. This fraction can be reduced by dividing both numerator and denominator by their greatest common divisor, which is 3. Thus, we get 17/20 as the reduced fraction for the number of women in the class.
To find the percentage, we take this fraction and convert it to a percent. We do this by multiplying the fraction by 100. So, 17/20 * 100 = 85%. Therefore, 85% of the class are women.
The proper fraction, reduced, for the number of women in the class is 51/60.
To find the fraction, we divide the number of women by the total number of students in the class: 51/60.
To convert the fraction into a percent, we divide the numerator by the denominator and multiply by 100: (51/60) × 100 = 85%