Lesson 2: Reason using benchmarks to compare two fractions on the number line. — Practice Questions

1. 1. Between which two whole numbers does the fraction $\frac{7}{5}$ lie on a number line?

   • A. 0 and 1
   • B. 1 and 2
   • C. 2 and 3
   • D. 5 and 7

2. 2. Decompose the improper fraction $\frac{9}{4}$ to fill in the blank: $\frac{9}{4} = \_\_\_ + \frac{1}{4}$.

3. 3. Where is the fraction $\frac{12}{3}$ located on a number line?

   • A. Between 3 and 4
   • B. Exactly at 3
   • C. Exactly at 4
   • D. Between 4 and 5

4. 4. When the improper fraction $\frac{11}{5}$ is decomposed into a whole number and a proper fraction, what is the fractional part? $\frac{11}{5} = 2 + \_\_\_$.

5. 5. Which of the following fractions is located on the number line between the whole numbers 2 and 3?

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

6. 6. The improper fraction $\frac{13}{2}$ can be decomposed as $6 + \_\_\_$.

7. 7. Which expression correctly decomposes the improper fraction $\frac{10}{6}$ to find its location on a number line?

   • A. $1 + \frac{4}{6}$
   • B. $2 + \frac{2}{6}$
   • C. $10 + \frac{1}{6}$
   • D. $6 + \frac{4}{6}$

8. 8. The fraction $\frac{11}{4}$ is located on a number line between the whole number 2 and the whole number ___.

9. 9. Consider the improper fraction $\frac{9}{5}$. Which statement is true?

   • A. It is equal to 1.
   • B. It is greater than 2.
   • C. It is less than 1.
   • D. It is between 1 and 2.