1. A rope is $12\frac{1}{4}$ feet long. After a piece measuring $5\frac{3}{4}$ feet is cut off, how much rope is left? The answer is ___ feet.
2. Calculate the difference and simplify the answer: $9\frac{3}{12} - 2\frac{7}{12}$.
3. To solve $6\frac{2}{9} - 1\frac{7}{9}$, the mixed number $6\frac{2}{9}$ must be regrouped. What is $6\frac{2}{9}$ rewritten as after regrouping? The answer is ___.
4. A container holds $5\frac{1}{3}$ gallons of water. After watering some plants, $2\frac{2}{3}$ gallons are used. How much water is left in the container? The answer is ___ gallons.
5. A baker has $5\frac{2}{5}$ pounds of sugar. A recipe calls for $2\frac{4}{5}$ pounds of sugar. How much sugar will be left after making the recipe? \n___ pounds
6. To solve a subtraction problem, the number $6\frac{1}{8}$ needs to be regrouped. What is the correct way to write $6\frac{1}{8}$ after regrouping?
7. A board is $7\frac{1}{4}$ feet long. If you cut off a piece that is $3\frac{3}{4}$ feet long, how many feet of the board are left? \nAnswer: ___ feet
8. Which statement best explains why regrouping is necessary to solve $8\frac{1}{5} - 3\frac{4}{5}$?
9. A student rewrites the mixed number $5\frac{2}{7}$ as $4\frac{9}{7}$. Which of the following problems was the student most likely trying to solve?