ROARING UONS \( 24-25 \) 9-9: Practice Buddy: Independent Practice; Problem Solving Copy 1 9.9.1P-17 Find the difiference by subtracting mixed numbers or subtracting equivalent fractions. \[ 16 \frac{3}{6}-5 \frac{5}{6} \] \[ 16 \frac{3}{6}-5 \frac{5}{6}= \] \( \square \) (Type a whole number, fraction, or mixed number.)

To find the difference, we first convert the mixed numbers into improper fractions. For \(16 \frac{3}{6}\): Multiply the whole number (16) by the denominator (6) and add the numerator (3): \(16 \times 6 + 3 = 96 + 3 = 99\). So, \(16 \frac{3}{6} = \frac{99}{6}\). For \(5 \frac{5}{6}\): Multiply the whole number (5) by the denominator (6) and add the numerator (5): \(5 \times 6 + 5 = 30 + 5 = 35\). So, \(5 \frac{5}{6} = \frac{35}{6}\). Now, we subtract the two improper fractions: \[ \frac{99}{6} - \frac{35}{6} = \frac{99 - 35}{6} = \frac{64}{6}. \] Next, we can simplify \(\frac{64}{6}\) by dividing both the numerator and denominator by their greatest common divisor, which is 2: \[ \frac{64 \div 2}{6 \div 2} = \frac{32}{3}. \] Now, if we want to convert \(\frac{32}{3}\) back to a mixed number, we divide 32 by 3 which gives us 10 with a remainder of 2. Thus, \(\frac{32}{3} = 10 \frac{2}{3}\). So, \[ 16 \frac{3}{6} - 5 \frac{5}{6} = 10 \frac{2}{3}. \] \( \square = 10 \frac{2}{3} \)