Lesson 1: Model Addition of Fractions — Practice Questions

1. 1. Which of the following pairs of fractions can be added directly, according to the principle of adding like units?

   • A. $\frac{1}{4}$ and $\frac{1}{5}$
   • B. $\frac{2}{7}$ and $\frac{3}{7}$
   • C. $\frac{5}{8}$ and $\frac{1}{2}$
   • D. $\frac{2}{3}$ and $\frac{3}{4}$

2. 2. Add the fractions: $\frac{1}{6} + \frac{4}{6} = \text{\_\_\_}$.

3. 3. Why can the fractions $\frac{3}{10}$ and $\frac{4}{10}$ be added together directly?

   • A. Because their numerators are small.
   • B. Because they have a common denominator.
   • C. Because they are both less than 1.
   • D. Because their sum is less than 1.

4. 4. A recipe calls for $\frac{3}{8}$ cup of flour, and you add an extra $\frac{2}{8}$ cup. What is the total fraction of a cup of flour used? ___

5. 5. According to the principle of adding like units, can you directly add $\frac{1}{5}$ and $\frac{1}{6}$?

   • A. Yes, because their numerators are the same.
   • B. No, because they do not have a common denominator.

6. 6. When adding fractions like $\frac{2}{9}$ and $\frac{5}{9}$, what does the denominator '9' represent?

   • A. The number of pieces being added.
   • B. The total sum of the fractions.
   • C. The fractional unit (ninths).
   • D. The larger of the two numerators.

7. 7. A garden is planted with $\frac{4}{9}$ flowers and $\frac{3}{9}$ vegetables. What fraction of the garden is planted in total? ___

8. 8. For the fraction $\frac{5}{12}$, what is the 'fractional unit'?

   • A. Fifths
   • B. Twelfths
   • C. Seventeenths
   • D. Five-twelfths

9. 9. Find the sum of the three fractions: $\frac{2}{11} + \frac{3}{11} + \frac{5}{11} = \text{\_\_\_}$.

10. 10. Calculate the sum: $\frac{1}{6} + \frac{4}{6} = $ ___