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Lesson 5: Use Benchmarks to Compare Fractions — Practice Questions

  1. 1. Which statement correctly compares the fraction $\frac{2}{5}$ to the benchmark $\frac{1}{2}$?

    • A. $\frac{2}{5} > \frac{1}{2}$
    • B. $\frac{2}{5} < \frac{1}{2}$
    • C. $\frac{2}{5} = \frac{1}{2}$
    • D. The fractions cannot be compared.
  2. 2. To compare $\frac{5}{8}$ with the benchmark $\frac{1}{2}$ using an area model, it is helpful to first rewrite $\frac{1}{2}$ as the equivalent fraction $\frac{\_\_\_}{8}$.

  3. 3. Which of the following fractions is greater than the benchmark $\frac{1}{2}$?

    • A. $\frac{3}{8}$
    • B. $\frac{4}{10}$
    • C. $\frac{5}{12}$
    • D. $\frac{7}{12}$
  4. 4. A painter used $\frac{3}{4}$ of a can of paint. To compare this to $\frac{1}{2}$ of a can, we can write $\frac{1}{2}$ as $\frac{2}{4}$. Complete the statement with a $<$ or $>$ symbol: $\frac{3}{4}$ ___ $\frac{1}{2}$.

  5. 5. Which statement correctly compares the fraction $\frac{9}{8}$ to the benchmark $1$?

    • A. $\frac{9}{8} < 1$
    • B. $\frac{9}{8} > 1$
    • C. $\frac{9}{8} = 1$
    • D. The comparison is not possible.
  6. 6. To compare $\frac{7}{10}$ to $\frac{1}{2}$, it helps to think of $\frac{1}{2}$ as an equivalent fraction with a denominator of 10. The fraction $\frac{1}{2}$ is equivalent to $\frac{\_\_\_}{10}$.

  7. 7. A student shades an area model to represent a fraction. If the shaded area is less than half of the whole shape, which of these fractions could it be?

    • A. $\frac{4}{6}$
    • B. $\frac{5}{8}$
    • C. $\frac{3}{10}$
    • D. $\frac{7}{10}$
  8. 8. Using the logic from the examples, we can compare $\frac{2}{6}$ to $\frac{1}{2}$. First, we note that $\frac{1}{2} = \frac{3}{6}$. Complete the statement with a $<$ or $>$ symbol: $\frac{2}{6}$ ___ $\frac{1}{2}$.

  9. 9. An area model is divided into 10 equal parts, and 6 of them are shaded. How does the shaded fraction, $\frac{6}{10}$, compare to the benchmark $\frac{1}{2}$?

    • A. $\frac{6}{10}$ is less than $\frac{1}{2}$
    • B. $\frac{6}{10}$ is equal to $\frac{1}{2}$
    • C. $\frac{6}{10}$ is greater than $\frac{1}{2}$
    • D. It depends on the shape of the model
  10. 10. The fraction $\frac{5}{11}$ is closest to which benchmark number?

    • A. 0
    • B. $\frac{1}{2}$
    • C. 1
    • D. 2