Converting between improper fractions and mixed numbers

Convert between improper fractions and mixed numbers.

All objectives

Foundation

16 web questions

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  1. Convert $\frac{5}{2}$ to a mixed number.
  2. Convert $\frac{7}{3}$ to a mixed number.
  3. Convert $\frac{9}{4}$ to a mixed number.
  4. Convert $\frac{11}{5}$ to a mixed number.
  5. Convert $1\frac{1}{2}$ to an improper fraction.
  6. Convert $2\frac{1}{3}$ to an improper fraction.
  7. Convert $3\frac{1}{4}$ to an improper fraction.
  8. Convert $2\frac{2}{5}$ to an improper fraction.
  9. Convert $\frac{13}{6}$ to a mixed number.
  10. Convert $\frac{15}{4}$ to a mixed number.
  11. Convert $4\frac{1}{3}$ to an improper fraction.
  12. Convert $5\frac{2}{7}$ to an improper fraction.
  13. Convert $\frac{17}{5}$ to a mixed number.
  14. Convert $\frac{14}{3}$ to a mixed number.
  15. Convert $3\frac{3}{8}$ to an improper fraction.
  16. Convert $6\frac{1}{6}$ to an improper fraction.

Proficient

18 web questions

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  1. Convert $\frac{19}{5}$ to a mixed number.
  2. Convert $\frac{22}{7}$ to a mixed number.
  3. Convert $\frac{31}{6}$ to a mixed number.
  4. Convert $\frac{27}{4}$ to a mixed number.
  5. Convert $4\frac{3}{5}$ to an improper fraction.
  6. Convert $7\frac{2}{3}$ to an improper fraction.
  7. Convert $5\frac{5}{8}$ to an improper fraction.
  8. Convert $9\frac{1}{4}$ to an improper fraction.
  9. Fill in the blank: $\frac{17}{4}=\square\frac{\square}{4}$.
  10. Fill in the blank: $3\frac{2}{7}=\frac{\square}{7}$.
  11. Which is greater: $\frac{11}{3}$ or $3\frac{1}{2}$?
  12. Is $\frac{14}{5}=2\frac{4}{5}$ correct?
  13. Is $6\frac{1}{4}=\frac{25}{4}$ correct?
  14. Convert $\frac{29}{8}$ to a mixed number.
  15. Convert $8\frac{5}{6}$ to an improper fraction.
  16. Convert $\frac{23}{9}$ to a mixed number.
  17. Convert $2\frac{7}{10}$ to an improper fraction.
  18. Explain in one short sentence what the denominator tells you in $4\frac{3}{7}$.

Excellence

18 web questions

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  1. A student says $\frac{18}{5}=3\frac{5}{5}$. Are they correct? Explain.
  2. A student says $4\frac{2}{3}=\frac{14}{3}$. Are they correct? Explain.
  3. Fill in both blanks: $\frac{\square}{6}=4\frac{\square}{6}$.
  4. Fill in both blanks: $7\frac{\square}{8}=\frac{61}{8}$.
  5. Which is greater: $\frac{23}{6}$ or $3\frac{4}{5}$? Show enough working to justify.
  6. Write $\frac{35}{4}$ as a mixed number, then place it between two whole numbers.
  7. Write $5\frac{7}{9}$ as an improper fraction, then say whether it is closer to $5$ or $6$.
  8. Complete: $\frac{\square}{7}=2\frac{5}{7}=\frac{26}{\square}$.
  9. Is $\frac{41}{6}=6\frac{5}{6}$ correct? Explain what went wrong or why it works.
  10. A ribbon is $\frac{17}{3}$ m long. Write this as a mixed number.
  11. A tank holds $2\frac{3}{4}$ L. Write this as an improper fraction of litres.
  12. Which does not belong: $\frac{10}{3}$, $3\frac{1}{3}$, $\frac{13}{4}$, $\frac{20}{6}$?
  13. A baker uses $3\frac{5}{6}$ cups of flour each batch. Write this as an improper fraction.
  14. A runner completes $\frac{25}{8}$ km. Write this as a mixed number.
  15. Explain why $\frac{n}{4}=2\frac{1}{4}$ gives $n=9$.
  16. Complete: if $\frac{m}{5}=6\frac{2}{5}$, then $m=@@HTML0@@$.
  17. Convert $12\frac{7}{12}$ to an improper fraction.
  18. Convert $\frac{58}{9}$ to a mixed number.