Quiz 5 Score: \( 5 / 9 \) Answered: 7/9 Question 9 Subtract: \( 7 \frac{3}{5}-5 \frac{1}{3} \) Do not give your answer âs an improper fraction. Give your answer as mixed numbe lowest terms.

To solve the subtraction \( 7 \frac{3}{5} - 5 \frac{1}{3} \), we first convert both mixed numbers to improper fractions. For \( 7 \frac{3}{5} \): \[ 7 \times 5 + 3 = 35 + 3 = 38, \text{ so } 7 \frac{3}{5} = \frac{38}{5}. \] For \( 5 \frac{1}{3} \): \[ 5 \times 3 + 1 = 15 + 1 = 16, \text{ so } 5 \frac{1}{3} = \frac{16}{3}. \] Next, we find a common denominator for the fractions, which is 15. We convert both fractions: \[ \frac{38}{5} = \frac{38 \times 3}{5 \times 3} = \frac{114}{15}, \] \[ \frac{16}{3} = \frac{16 \times 5}{3 \times 5} = \frac{80}{15}. \] Now, we perform the subtraction: \[ \frac{114}{15} - \frac{80}{15} = \frac{114 - 80}{15} = \frac{34}{15}. \] Now, we convert \(\frac{34}{15}\) to a mixed number. Divide 34 by 15: - 15 goes into 34 twice (2), leaving a remainder of \(34 - 30 = 4\). Thus, \( \frac{34}{15} = 2 \frac{4}{15} \). The final answer is: \[ 2 \frac{4}{15}. \]