Write \( \frac{152}{16} \) as a mixed number in simplest form

To convert the improper fraction \( \frac{152}{16} \) into a mixed number in its simplest form, follow these steps: 1. **Divide the Numerator by the Denominator:** \[ 152 \div 16 = 9 \text{ with a remainder of } 8 \] 2. **Write the Mixed Number:** The whole number part is **9**, and the remainder becomes the numerator of the fractional part. The denominator remains **16**. \[ \frac{152}{16} = 9 \frac{8}{16} \] 3. **Simplify the Fractional Part:** Simplify \( \frac{8}{16} \) by dividing both the numerator and the denominator by their greatest common divisor, which is **8**. \[ \frac{8}{16} = \frac{8 \div 8}{16 \div 8} = \frac{1}{2} \] 4. **Final Mixed Number:** Combine the whole number with the simplified fractional part. \[ \frac{152}{16} = 9 \frac{1}{2} \] **Answer:** \( 9\,\frac{1}{2} \)