Akira has 3 1/3 cups of powdered sugar. She sprinkles 1/10 of the sugar onto a plate of brownies and sprinkles the rest onto a plate of lemon cookies. How much sugar does Akira sprinkle on the brownies?

Question

Write your answer as a fraction or as a whole or mixed number.

Answer 1

To find out how much sugar Akira sprinkles on the brownies, we first need to calculate \( \frac{1}{10} \) of the total amount of powdered sugar she has.

Akira has \( 3 \frac{1}{3} \) cups of powdered sugar. We can convert this mixed number into an improper fraction:

\[ 3 \frac{1}{3} = \frac{3 \times 3 + 1}{3} = \frac{9 + 1}{3} = \frac{10}{3} \]

Now, we can find \( \frac{1}{10} \) of \( \frac{10}{3} \):

\[ \frac{1}{10} \times \frac{10}{3} = \frac{10}{30} = \frac{1}{3} \]

Thus, Akira sprinkles \( \frac{1}{3} \) cups of powdered sugar onto the brownies.