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Sidney has $1\frac{3}{5}$ cups of powdered sugar. She sprinkles $\frac{2}{3}$ of the sugar onto a plate of brownies and sprinkles the rest onto a plate of lemon cookies. How much sugar does Sidney sprinkle on the brownies? $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ $\_\_\_\_$ cups

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Multiply mixed numbers: word problems

Full solution

Q. Sidney has

1\frac{3}{5}

cups of powdered sugar. She sprinkles

\frac{2}{3}

of the sugar onto a plate of brownies and sprinkles the rest onto a plate of lemon cookies. How much sugar does Sidney sprinkle on the brownies?

\newline

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

\newline

\_\_\_\_

cups

Convert to Improper Fraction: Step $1$ : Convert the mixed number to an improper fraction for easier calculation. Sidney has $1\frac{3}{5}$ cups of powdered sugar, which can be converted to an improper fraction. $\newline$ $1\frac{3}{5} = \frac{(5\cdot1 + 3)}{5} = \frac{8}{5}$ cups.
Calculate Sugar for Brownies: Step $2$ : Calculate the amount of sugar Sidney sprinkles on the brownies. She uses $\frac{2}{3}$ of her total sugar for the brownies. $\newline$ Amount of sugar for brownies = $\left(\frac{2}{3}\right) \times \left(\frac{8}{5}\right) = \frac{16}{15}$ cups.
Convert to Mixed Number: Step $3$ : Convert the improper fraction to a mixed number to make it easier to understand. $\newline$ $\frac{16}{15} = 1 \frac{1}{15}$ cups.

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