Final answer:
The sum of the quotient (-7/20) and (11/4) is 48/20.
Step-by-step explanation:
To find the sum, we need to first calculate the quotient of −7/3 and 20/3. The quotient is found by dividing the numerator (-7) by the denominator (3) for both fractions. So, (-7)/(3) ÷ (20)/(3) = (-7)*(3)/(3)*(20) = -7/20.
Next, we add the quotient to (11)/(4). To add fractions with different denominators, we need to find a common denominator. The common denominator for 4 and 20 is 20. So, (11)/(4) + (-7)/(20) = (11*5)/(4*5) + (-7)/(20) = 55/20 + (-7)/(20) = (55-7)/20 = 48/20.
Therefore, the sum of the quotient (-7/20) and (11/4) is 48/20.