16. \( u-5 \frac{1}{6}=8 \)

To solve the equation \( u - 5 \frac{1}{6} = 8 \), first, convert the mixed number into an improper fraction. So, \( 5 \frac{1}{6} = \frac{31}{6} \). The equation becomes \( u - \frac{31}{6} = 8 \). Now, add \( \frac{31}{6} \) to both sides: \[ u = 8 + \frac{31}{6}. \] To combine the whole number with the fraction, express 8 as a fraction with a denominator of 6: \[ 8 = \frac{48}{6}. \] Now, adding: \[ u = \frac{48}{6} + \frac{31}{6} = \frac{79}{6}. \] Thus, the solution is \[ u \approx 13.17 \text{ or } 13 \frac{1}{6}. \] So, if you fancy a fraction, there you have it!