8) Turn into mixed numbers: A.) \( 47 / 3= \) B.) \( 63 / 2= \) Turn improper: C.) \( 24 / 7= \) D.) \( 104 / 5= \)

Sure, let's convert the given improper fractions to mixed numbers and vice versa. ### A.) Convert \( \frac{47}{3} \) to a Mixed Number 1. **Divide the numerator by the denominator:** \( 47 \div 3 = 15 \) with a **remainder of 2**. 2. **Express as a mixed number:** The whole number is **15**, and the remainder forms the fractional part. \[ \frac{47}{3} = 15 \dfrac{2}{3} \] ### B.) Convert \( \frac{63}{2} \) to a Mixed Number 1. **Divide the numerator by the denominator:** \( 63 \div 2 = 31 \) with a **remainder of 1**. 2. **Express as a mixed number:** The whole number is **31**, and the remainder forms the fractional part. \[ \frac{63}{2} = 31 \dfrac{1}{2} \] ### C.) Convert \( \frac{24}{7} \) to an Improper Fraction *Note:* \( \frac{24}{7} \) is already an improper fraction (numerator is greater than the denominator). However, if it were given as a mixed number and you needed to convert it back: 1. **Express as a mixed number:** \( \frac{24}{7} = 3 \dfrac{3}{7} \) 2. **Convert back to an improper fraction:** \( 3 \times 7 + 3 = 24 \), so \[ 3 \dfrac{3}{7} = \frac{24}{7} \] ### D.) Convert \( \frac{104}{5} \) to an Improper Fraction *Note:* \( \frac{104}{5} \) is already an improper fraction. If it were given as a mixed number and you needed to convert it back: 1. **Express as a mixed number:** \( \frac{104}{5} = 20 \dfrac{4}{5} \) 2. **Convert back to an improper fraction:** \( 20 \times 5 + 4 = 104 \), so \[ 20 \dfrac{4}{5} = \frac{104}{5} \] --- **Summary of Answers:** - **A.)** \( \frac{47}{3} = 15 \dfrac{2}{3} \) - **B.)** \( \frac{63}{2} = 31 \dfrac{1}{2} \) - **C.)** \( \frac{24}{7} = 3 \dfrac{3}{7} \) - **D.)** \( \frac{104}{5} = 20 \dfrac{4}{5} \) If you need further clarification or have more questions, feel free to ask!