Final answer:
Emmett sprinkles 51/30 cups of sugar on the brownies.
Step-by-step explanation:
To find the amount of sugar Emmett sprinkles on the brownies, we need to multiply the total amount of sugar he has by the fraction representing the portion he sprinkles on the brownies. First, we convert the mixed number 2 5/6 to an improper fraction, which is 17/6. Then, we multiply 17/6 by 3/5 to find the amount of sugar he sprinkles on the brownies.
To multiply fractions, we multiply the numerators together to get the new numerator and multiply the denominators together to get the new denominator. So, 17/6 * 3/5 = (17 * 3) / (6 * 5) = 51/30.
Therefore, Emmett sprinkles 51/30 cups of sugar on the brownies.