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Lesson 55: Common Denominators, Part 1 — Practice Questions

  1. 1. Subtract $\frac{1}{6}$ from $\frac{2}{3}$. Your final answer should be in simplest form. The result is ___.

  2. 2. What is the sum of $\frac{3}{4}$ and $\frac{1}{3}$?

    • A. $\frac{13}{12}$
    • B. $\frac{4}{7}$
    • C. $\frac{4}{12}$
    • D. $\frac{10}{12}$
  3. 3. A painter used $\frac{1}{2}$ gallon of blue paint and $\frac{1}{5}$ gallon of white paint. In total, how many gallons of paint did the painter use? The total is ___ gallons.

  4. 4. When calculating $\frac{7}{8} - \frac{1}{2}$, what is the correct first step in the process?

    • A. Rename $\frac{1}{2}$ to $\frac{4}{8}$.
    • B. Subtract the numerators and then the denominators.
    • C. Rename both fractions to have a denominator of 16.
    • D. Add the numerators.
  5. 5. Maria's smoothie recipe calls for $\frac{3}{4}$ cup of yogurt. She only has $\frac{1}{3}$ cup. How much more yogurt does she need? She needs ___ cups more.

  6. 6. A painter uses $\frac{1}{3}$ of a can of paint on a wall and $\frac{2}{5}$ of the same can on a door. What fraction of the can of paint did the painter use in total? ___

  7. 7. To subtract $\frac{5}{6} - \frac{1}{4}$, what is the least common denominator (LCD) you should use?

    • A. 6
    • B. 10
    • C. 12
    • D. 24
  8. 8. Calculate the result of the following subtraction: $\frac{7}{8} - \frac{1}{2} = $ ___.

  9. 9. A student incorrectly calculates $\frac{3}{4} + \frac{1}{5} = \frac{4}{9}$. What fundamental mistake did the student make?

    • A. They added the denominators instead of finding a common one.
    • B. They should have subtracted the numerators.
    • C. They multiplied the numerators.
    • D. They chose the wrong common denominator.
  10. 10. To solve the expression $\frac{4}{5} - \frac{1}{10}$, the fraction $\frac{4}{5}$ must be renamed. What is its new, equivalent form?

    • A. $\frac{4}{10}$
    • B. $\frac{8}{10}$
    • C. $\frac{5}{10}$
    • D. $\frac{2}{5}$