Lesson 8: Add Mixed Numbers — Practice Questions

1. 1. Add the mixed numbers by first converting to improper fractions: $2\frac{3}{7} + 1\frac{5}{7} = $ ___.

2. 2. Which expression shows the sum of $2\frac{1}{4}$ and $3\frac{2}{4}$ after converting both mixed numbers to improper fractions?

   • A. $\frac{9}{4} + \frac{14}{4}$
   • B. $\frac{7}{4} + \frac{10}{4}$
   • C. $5 + \frac{3}{4}$
   • D. $\frac{9}{8} + \frac{14}{8}$

3. 3. Find the sum and express it as a mixed number: $4\frac{7}{10} + 1\frac{9}{10} = $ ___.

4. 4. Find the sum of $1\frac{5}{6} + 4\frac{2}{6}$.

   • A. $5\frac{7}{6}$
   • B. $6\frac{1}{6}$
   • C. $5\frac{1}{6}$
   • D. $6\frac{7}{12}$

5. 5. When adding $3\frac{2}{9} + 2\frac{8}{9}$ by converting to improper fractions, the sum as an improper fraction is ___.

6. 6. Which expression shows the correct first step to solve $2\frac{1}{3} + 4\frac{2}{3}$ using the improper fraction method?

   • A. $\frac{7}{3} + \frac{14}{3}$
   • B. $(2+4) + (\frac{1}{3}+\frac{2}{3})$
   • C. $\frac{5}{3} + \frac{10}{3}$
   • D. $\frac{7}{6} + \frac{14}{6}$

7. 7. Calculate the sum by first converting to improper fractions: $5\frac{3}{4} + 2\frac{3}{4} = $ ___.

8. 8. What is the sum of $1\frac{7}{12} + 3\frac{11}{12}$?

   • A. $4\frac{18}{12}$
   • B. $5\frac{6}{12}$
   • C. $4\frac{6}{12}$
   • D. $5\frac{18}{24}$

9. 9. A recipe calls for $1\frac{2}{8}$ cups of sugar. You add another $2\frac{7}{8}$ cups. The total amount of sugar is ___ cups.

10. 10. Rewrite the mixed number $1\frac{2}{5}$ as an improper fraction. ___