Lesson 4: Generate Equivalent Fractions: Division — Practice Questions

1. 1. What equivalent fraction is created for $\frac{18}{30}$ by dividing the numerator and denominator by their common factor of 3? ___

2. 2. How many different equivalent fractions can be generated for $\frac{16}{40}$ by dividing the numerator and denominator by their common factors greater than 1?

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

3. 3. To find the simplest equivalent fraction for $\frac{24}{36}$ using division, you must divide by the greatest common factor. What is this simplest fraction? ___

4. 4. Which fraction is NOT an equivalent fraction of $\frac{20}{50}$ that can be found by dividing by a common factor?

   • A. $\frac{10}{25}$
   • B. $\frac{4}{10}$
   • C. $\frac{2}{5}$
   • D. $\frac{1}{2}$

5. 5. The fraction $\frac{2}{5}$ is an equivalent fraction of $\frac{18}{45}$. What common factor was used to divide the numerator and denominator to get this result? ___

6. 6. To find all simpler equivalent fractions for $\frac{14}{42}$ using division, what must you first identify?

   • A. The least common multiple of 14 and 42
   • B. All common factors of 14 and 42 greater than 1
   • C. Only the greatest common factor of 14 and 42
   • D. All prime numbers less than 42

7. 7. To find an equivalent fraction for $\frac{16}{32}$, you can divide the numerator and denominator by their common factor of 4. What is the resulting fraction? ___

8. 8. Which set represents all possible equivalent fractions for $\frac{18}{24}$ that can be found by dividing by common factors?

   • A. ${\frac{9}{12}, \frac{3}{4}}$
   • B. ${\frac{9}{12}, \frac{6}{8}, \frac{3}{4}}$
   • C. ${\frac{6}{8}, \frac{3}{4}}$
   • D. ${\frac{9}{12}, \frac{6}{8}}$

9. 9. One equivalent fraction for $\frac{30}{45}$ is found by dividing the numerator and denominator by 5. What is this equivalent fraction? ___

10. 10. Reduce the fraction $\dfrac{14}{20}$ to its simplest form. The result is ___.