Lesson 1: Equivalent Fractions: Area Models — Practice Questions

1. 1. Which statement best describes two equivalent fractions?

   • A. They must have the same numerator and denominator.
   • B. They represent the same portion of an identical whole.
   • C. They must have different denominators but the same numerator.
   • D. They represent the same amount, even if the wholes are different sizes.

2. 2. Leo ran $\frac{1}{2}$ of a 1-mile track. Kim ran $\frac{1}{2}$ of a 2-mile track. Are the distances they ran equivalent?

   • A. Yes, because the fraction $\frac{1}{2}$ is the same for both.
   • B. No, because the 'wholes' (the total track lengths) are different.
   • C. Yes, because they both ran for the same amount of time.
   • D. It is impossible to determine from the information given.

3. 3. On a number line from 0 to 1, the fraction $\frac{1}{4}$ marks the same point as the fraction $\frac{2}{\_\_\_}$.

4. 4. A pie is cut into 3 equal slices, and 2 slices are eaten. This is $\frac{2}{3}$ of the pie. If the same pie were cut into 6 slices, this would be equivalent to eating ___ slices.

5. 5. Anna has a small piece of paper and folds it in half, shading $\frac{1}{2}$. Ben has a large piece of paper and folds it in half, shading $\frac{1}{2}$. Are the shaded areas equivalent?

   • A. Yes, the areas are equivalent.
   • B. No, the areas are not equivalent.

6. 6. If two fractions, $\frac{a}{b}$ and $\frac{c}{d}$, are equivalent, they must represent the same portion of the same size ___.

7. 7. A painter uses $\frac{3}{4}$ of a can of paint. Which of the following fractions is equivalent to the amount of paint used?

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