Lesson 2: Equivalent Fractions: Number Lines — Practice Questions

1. 1. On a number line, the fraction $\frac{1}{3}$ is at the same point as which other fraction?

   • A. $\frac{1}{4}$
   • B. $\frac{2}{6}$
   • C. $\frac{2}{5}$
   • D. $\frac{1}{2}$

2. 2. The fractions $\frac{1}{4}$ and $\frac{\_\_\_}{8}$ represent the same location on a number line. What is the missing numerator?

3. 3. If two different fractions label the exact same point on a number line, what must be true about them?

   • A. They are equivalent.
   • B. One is greater than the other.
   • C. Their denominators must be equal.
   • D. Their numerators must be equal.

4. 4. On a number line, the point for $\frac{2}{5}$ is the same as the point for $\frac{\_\_\_}{10}$. What is the missing numerator?

5. 5. Which fraction is located at the same point on a number line as $\frac{3}{4}$?

   • A. $\frac{2}{3}$
   • B. $\frac{5}{8}$
   • C. $\frac{4}{5}$
   • D. $\frac{6}{8}$

6. 6. On a number line, the fraction $\frac{1}{3}$ occupies the same point as which other fraction?

   • A. $\frac{1}{4}$
   • B. $\frac{2}{6}$
   • C. $\frac{2}{5}$
   • D. $\frac{3}{7}$

7. 7. The fractions $\frac{1}{4}$ and $\frac{2}{8}$ represent the same point on a number line. Complete the equation: $\frac{1}{4} = \frac{2}{\_\_\_}$.

8. 8. If fractions $\frac{a}{b}$ and $\frac{c}{d}$ represent two different points on a number line, which statement must be true?

   • A. The fractions are equivalent.
   • B. The fractions are not equivalent.
   • C. The denominators must be the same.
   • D. The numerators must be the same.

9. 9. The fraction $\frac{3}{5}$ is located at the same point on a number line as $\frac{6}{10}$. Find the missing number in the equivalent fraction: $\frac{3}{5} = \frac{\_\_\_}{10}$.

10. 10. Which of the following fractions represents the same distance from zero on a number line as $\frac{4}{5}$?

    • A. $\frac{5}{6}$
    • B. $\frac{7}{8}$
    • C. $\frac{8}{10}$
    • D. $\frac{4}{10}$