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Lesson 1: Estimate Fraction Sums and Differences — Practice Questions

  1. 1. Using benchmarks, is the sum of $\frac{5}{8} + \frac{4}{7}$ greater than or less than 1?

    • A. Greater than 1
    • B. Less than 1
  2. 2. The sum of $\frac{7}{10}$ and $\frac{5}{9}$ is greater than the whole number ___.

  3. 3. Which of the following sums is guaranteed to be greater than 1?

    • A. $\frac{1}{3} + \frac{4}{9}$
    • B. $\frac{5}{8} + \frac{2}{3}$
    • C. $\frac{1}{4} + \frac{3}{5}$
    • D. $\frac{2}{7} + \frac{3}{8}$
  4. 4. A recipe needs $\frac{3}{4}$ cup of milk and $\frac{4}{5}$ cup of water. Is the total liquid more or less than 1 cup?

    • A. More than 1 cup
    • B. Less than 1 cup
    • C. Exactly 1 cup
    • D. Cannot be determined
  5. 5. To quickly estimate if a fraction sum is greater than 1, you can compare each fraction to the benchmark number ___.

  6. 6. Is the statement 'The sum $\frac{2}{5} + \frac{3}{7}$ is greater than 1' true or false?

    • A. True
    • B. False
  7. 7. Which fraction, when added to $\frac{4}{7}$, guarantees the sum will be greater than 1?

    • A. $\frac{2}{9}$
    • B. $\frac{3}{8}$
    • C. $\frac{1}{3}$
    • D. $\frac{5}{8}$
  8. 8. If you know that $\frac{4}{6} > \frac{1}{2}$ and $\frac{6}{10} > \frac{1}{2}$, then you know that their sum, $\frac{4}{6} + \frac{6}{10}$, must be greater than ___.

  9. 9. Is the equation $\frac{1}{10} + \frac{8}{15} = \frac{73}{150}$ reasonable? Use estimation to decide.

    • A. Reasonable
    • B. Not reasonable
  10. 10. Estimate the sum $\frac{4}{9} + \frac{12}{13}$ by rounding each fraction to the nearest benchmark ($0, \frac{1}{2}, 1$). The best estimate is ___.