Heather and her sister went together to get haircuts. Heather got \( 610 / 12 \) inches cut off her sister got \( 9 / 12 \) of an inch cut off. Compared to her sister, how much more hair did Heather get taken off? Write your answer as a fraction or as a whole or mixed number.

To find out how much more hair Heather had cut off compared to her sister, we first calculate how much each got cut. Heather had \( \frac{610}{12} \) inches cut. Simplifying this fraction, \( 610 \div 12 = 50.8333... \) or \( 50 \frac{10}{12} \) inches, which can also be written as \( 50 \frac{5}{6} \) inches after simplifying \( \frac{10}{12} \). Her sister had \( \frac{9}{12} = \frac{3}{4} \) inches cut off. Now, we subtract the amount cut off from Heather's sister from the amount cut off from Heather: \[ 50 \frac{5}{6} - \frac{3}{4} \] To perform this subtraction, we need a common denominator, which is 12: \[ 50 \frac{5}{6} = 50 \frac{10}{12} \] \[ \frac{3}{4} = \frac{9}{12} \] Now we can subtract: \[ 50 \frac{10}{12} - \frac{9}{12} = 50 \frac{10 - 9}{12} = 50 \frac{1}{12} \] Therefore, Heather got \( 50 \frac{1}{12} \) inches more hair taken off than her sister.