Final answer:
65% of Duo's dumplings with vegetarian fillings is equivalent to the fraction 13/20 after simplifying the fraction 65/100 by dividing both numerator and denominator by 5.
Step-by-step explanation:
The student is asking which fraction represents 65% as a fraction of Duo's dumplings with vegetarian fillings. To convert a percentage to a fraction, you divide the percentage by 100. Therefore, 65% as a fraction is 65/100. This can be simplified by finding the greatest common divisor of 65 and 100, which is 5. Dividing both numerator and denominator by 5 gives us 13/20. So, 65% is equivalent to 13/20.
Thus, the correct answer to what fraction of Duo's dumplings have vegetarian fillings is (a) 13/20.