Lesson 7: Model Addition and Subtraction of Mixed Numbers — Practice Questions

1. 1. Use the number line method to solve the subtraction problem: $5 \frac{3}{4} - 2 \frac{1}{4} = \_\_\_$.

2. 2. When subtracting $4 \frac{1}{8} - 1 \frac{5}{8}$ on a number line, you start at $4 \frac{1}{8}$. After jumping back 1 whole unit to $3 \frac{1}{8}$, what is the next step?

   • A. Jump back $\frac{5}{8}$
   • B. Jump forward $\frac{5}{8}$
   • C. Jump back $\frac{1}{8}$
   • D. The subtraction is complete

3. 3. To subtract $6 \frac{1}{3} - 2 \frac{2}{3}$, you start at $6 \frac{1}{3}$ and jump back 2 units to $4 \frac{1}{3}$. After jumping back another $\frac{2}{3}$, you land on \_\_\_.

4. 4. When subtracting mixed numbers on a number line, which statement is correct?

   • A. Start at the second number and move right.
   • B. Start at the first number and move right.
   • C. Start at the second number and move left.
   • D. Start at the first number and move left.

5. 5. Find the difference by first finding a common denominator: $4 \frac{1}{2} - 1 \frac{1}{6} = \_\_\_$.

6. 6. What is the result of $5 \frac{1}{4} - 2 \frac{3}{4}$?

   • A. 3 1/2
   • B. 2 1/2
   • C. 3 1/4
   • D. 2 3/4

7. 7. A recipe calls for $4$ cups of flour. If you have already added $1 \frac{1}{3}$ cups, how much more flour is needed? $4 - 1 \frac{1}{3} = \_\_\_$.

8. 8. To solve $7 \frac{1}{2} - 3 \frac{3}{4}$ on a number line, what is the most helpful first step?

   • A. Convert both numbers to improper fractions.
   • B. Find a common denominator for the fractions.
   • C. Subtract the whole numbers first.
   • D. Draw a number line from 0 to 10.

9. 9. Calculate the difference using the number line method: $5 \frac{1}{5} - 2 \frac{4}{5} = \_\_\_$.

10. 10. Using a number line, what is the result of subtracting $2\frac{1}{4}$ from $5\frac{3}{4}$? The result is ___.