Question

nicholas has 3 9/10 cups of powdered sugar. he sprinkles 4/5 of the sugar onto a plate of brownies and sprinkles the rest onto a plate of lemon cookies. how much sugar does nicholas sprinkle on the brownies? write your answer as a fraction or as a whole or mixed number. cups

Explanation:

Step1: Identify the total and used sugar

Total sugar: $3\frac{9}{10}$ cups, used on brownies: $\frac{4}{5}$ cups.

Step2: Convert mixed number to improper fraction

$3\frac{9}{10}=\frac{3\times10 + 9}{10}=\frac{39}{10}$

Step3: Subtract used from total

$\frac{39}{10}-\frac{4}{5}=\frac{39}{10}-\frac{8}{10}=\frac{31}{10}=3\frac{1}{10}$

Answer:

$3\frac{1}{10}$