Question: Natalia made 9\frac{3}{8} cups of lemonade. She drank 4\frac{5}{8} cups of the lemonade. How many…

Natalia made 9\frac{3}{8} cups of lemonade. She drank 4\frac{5}{8} cups of the lemonade. How many cups of lemonade does she have left?

Solution

Natalia made \(9 \frac{3}{8}\) cups of lemonade and drank \(4 \frac{5}{8}\) cups. We need to find out how many cups she has left. First, convert the mixed numbers to improper fractions. \[ 9 \frac{3}{8} = \frac{9 \times 8 + 3}{8} = \frac{75}{8} \] \[ 4 \frac{5}{8} = \frac{4 \times 8 + 5}{8} = \frac{37}{8} \] Next, subtract the fractions. \[ \frac{75}{8} - \frac{37}{8} = \frac{75 - 37}{8} = \frac{38}{8} \] Simplify \(\frac{38}{8}\). \[ \frac{38}{8} = \frac{19}{4} \] Convert \(\frac{19}{4}\) back to a mixed number. \(\frac{19}{4} = 4 \frac{3}{4}\) So, she has \(4 \frac{3}{4}\) cups of lemonade left.