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Lesson 2: Understanding and Generating Equivalent Fractions — Practice Questions

  1. 1. To make the fractions equivalent, what is the missing value? $\frac{3}{5} = \frac{9}{\_\_\_}$

  2. 2. Which of the following fractions is equivalent to $\frac{3}{7}$?

    • A. $\frac{6}{10}$
    • B. $\frac{5}{9}$
    • C. $\frac{9}{21}$
    • D. $\frac{7}{3}$
  3. 3. Complete the statement to make the fractions equivalent: $\frac{5}{8} = \frac{\_\_\_}{32}$

  4. 4. To generate a fraction equivalent to $\frac{4}{9}$ by multiplication, you must multiply the numerator (4) and the denominator (9) by...

    • A. the same whole number greater than 1
    • B. two different whole numbers
    • C. the numerator, which is 4
    • D. the denominator, which is 9
  5. 5. Find the next fraction in this sequence of equivalent fractions: $\frac{1}{6} = \frac{2}{12} = \frac{3}{\_\_\_}$

  6. 6. Three of these fractions are equivalent to $\frac{2}{5}$. Which one is NOT equivalent?

    • A. $\frac{4}{10}$
    • B. $\frac{6}{15}$
    • C. $\frac{10}{24}$
    • D. $\frac{8}{20}$
  7. 7. A recipe calls for $\frac{2}{3}$ of a cup of sugar. If you use a measuring cup marked in twelfths, how many twelfths would you need? $\frac{2}{3} = \frac{\_\_\_}{12}$

  8. 8. Which addition sentence correctly shows the fraction $\frac{2}{4}$ decomposed into eighths, where each fourth is broken into two eighths?

    • A. $\left(\frac{1}{8} + \frac{1}{8}\right) + \left(\frac{1}{8} + \frac{1}{8}\right)$
    • B. $\frac{1}{8} + \frac{1}{8} + \frac{1}{8} + \frac{1}{8}$
    • C. $\left(\frac{1}{4} + \frac{1}{4}\right)$
    • D. $\left(\frac{1}{8}\right) + \left(\frac{1}{8}\right)$
  9. 9. An addition sentence for a decomposed fraction is $\left(\frac{1}{8} + \frac{1}{8}\right) + \left(\frac{1}{8} + \frac{1}{8}\right) + \left(\frac{1}{8} + \frac{1}{8}\right)$. What was the original fraction? ___

  10. 10. In the decomposition $\frac{3}{5} = \left(\frac{1}{10} + \frac{1}{10}\right) + \left(\frac{1}{10} + \frac{1}{10}\right) + \left(\frac{1}{10} + \frac{1}{10}\right)$, what does one group in parentheses represent?

    • A. One of the new $\frac{1}{10}$ parts
    • B. The entire original fraction $\frac{3}{5}$
    • C. One of the original $\frac{1}{5}$ parts
    • D. The total number of new parts