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Lesson 2: Finding Equivalent Fractions Using a Common Denominator — Practice Questions

  1. 1. Convert $\frac{11}{16}$ and $-\frac{5}{12}$ to equivalent fractions with the least common denominator, 48.

    • A. $\frac{22}{48}$ and $-\frac{15}{48}$
    • B. $\frac{33}{48}$ and $-\frac{20}{48}$
    • C. $-\frac{20}{48}$ and $\frac{33}{48}$
    • D. $\frac{33}{48}$ and $\frac{20}{48}$
  2. 2. Convert the fractions $\frac{7}{12}$ and $\frac{5}{8}$ to equivalent fractions with their least common denominator, 24.

    • A. $\frac{15}{24}$ and $\frac{14}{24}$
    • B. $\frac{7}{24}$ and $\frac{5}{24}$
    • C. $\frac{14}{24}$ and $\frac{15}{24}$
    • D. $\frac{12}{24}$ and $\frac{8}{24}$
  3. 3. Convert the fractions $\frac{5}{12}$ and $\frac{7}{8}$ to equivalent fractions with their least common denominator, 24.

    • A. $\frac{10}{24}$ and $\frac{21}{24}$
    • B. $\frac{21}{24}$ and $\frac{10}{24}$
    • C. $\frac{5}{24}$ and $\frac{7}{24}$
    • D. $\frac{15}{24}$ and $\frac{14}{24}$
  4. 4. Convert $\frac{1}{3}, \frac{5}{6}$, and $\frac{3}{4}$ to equivalent fractions with the LCD, 12.

    • A. $\frac{4}{12}, \frac{10}{12}, \frac{9}{12}$
    • B. $\frac{3}{12}, \frac{6}{12}, \frac{4}{12}$
    • C. $\frac{4}{12}, \frac{5}{12}, \frac{3}{12}$
    • D. $\frac{6}{12}, \frac{10}{12}, \frac{8}{12}$
  5. 5. Convert the fractions $\frac{1}{4}$ and $\frac{1}{5}$ to equivalent fractions with their least common denominator, 20.

    • A. $\frac{4}{20}$ and $\frac{5}{20}$
    • B. $\frac{5}{20}$ and $\frac{4}{20}$
    • C. $\frac{1}{20}$ and $\frac{1}{20}$
    • D. $\frac{10}{20}$ and $\frac{8}{20}$
  6. 6. Convert $\frac{1}{3}, \frac{3}{4}$, and $\frac{3}{5}$ to equivalent fractions with the LCD, 60.

    • A. $\frac{20}{60}, \frac{30}{60}, \frac{36}{60}$
    • B. $\frac{10}{60}, \frac{15}{60}, \frac{12}{60}$
    • C. $\frac{20}{60}, \frac{45}{60}, \frac{36}{60}$
    • D. $\frac{30}{60}, \frac{45}{60}, \frac{40}{60}$
  7. 7. Convert $\frac{13}{16}$ and $-\frac{11}{12}$ to equivalent fractions with the least common denominator, 48.

    • A. $\frac{39}{48}$ and $-\frac{44}{48}$
    • B. $\frac{26}{48}$ and $-\frac{33}{48}$
    • C. $\frac{44}{48}$ and $-\frac{39}{48}$
    • D. $\frac{39}{48}$ and $\frac{44}{48}$
  8. 8. Convert the fractions $\frac{1}{3}$ and $\frac{1}{4}$ to equivalent fractions with their least common denominator, 12.

    • A. $\frac{4}{12}$ and $\frac{3}{12}$
    • B. $\frac{3}{12}$ and $\frac{4}{12}$
    • C. $\frac{1}{12}$ and $\frac{1}{12}$
    • D. $\frac{6}{12}$ and $\frac{4}{12}$
  9. 9. To convert the fraction $\frac{2}{5}$ to an equivalent fraction with a denominator of 20, what is the new numerator? ___

  10. 10. Given the fractions $\frac{4}{9}$ and $\frac{7}{12}$, convert $\frac{7}{12}$ to an equivalent fraction using their LCD of 36.

    • A. $\frac{14}{36}$
    • B. $\frac{21}{36}$
    • C. $\frac{28}{36}$
    • D. $\frac{7}{36}$